{"id":32150,"date":"2022-01-26T22:38:42","date_gmt":"2022-01-26T14:38:42","guid":{"rendered":"https:\/\/swarma.org\/?p=32150"},"modified":"2022-01-26T22:38:42","modified_gmt":"2022-01-26T14:38:42","slug":"nature%ef%bc%9a%e5%a4%8d%e6%9d%82%e5%ae%8f%e8%a7%82%e7%b3%bb%e7%bb%9f%e4%b8%ad%e7%9a%84%e9%9d%9e%e4%ba%92%e6%98%93%e7%9b%b8%e5%8f%98","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=32150","title":{"rendered":"Nature\uff1a\u590d\u6742\u5b8f\u89c2\u7cfb\u7edf\u4e2d\u7684\u975e\u4e92\u6613\u76f8\u53d8"},"content":{"rendered":"<div class='wxsyncmain'>\n<section style=\"font-size: 16px;\" data-mpa-powered-by=\"yiban.io\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;white-space: normal;color: rgb(63, 63, 63);font-family: PingFangSC-light;font-size: 15px;background-color: rgb(255, 255, 255);\">\n<section style=\"outline: 0px;display: inline-block;width: 661px;vertical-align: top;background-color: rgb(246, 246, 246);\">\n<section style=\"outline: 0px;\">\n<p style=\"text-align: center;\"><img class=\"rich_pages wxw-img js_insertlocalimg\" data-backh=\"385\" data-backw=\"578\" data-ratio=\"0.66640625\" data-s=\"300,640\"  data-type=\"jpeg\" data-w=\"1280\" style=\"width: 100%;height: auto;\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-eb633ba0d4a90bbc3924c31da503ddb6.jpeg\"  \/><\/p>\n<\/section>\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;outline: 0px;letter-spacing: 0.544px;\">\n<section style=\"outline: 0px;width: 661px;\">\n<section style=\"padding-right: 3px;outline: 0px;float: left;line-height: 1;\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;text-align: left;\">\n<section style=\"padding-left: 10px;outline: 0px;display: inline-block;width: auto;vertical-align: top;min-width: 10%;height: auto;border-left: 3px solid rgb(33, 166, 210);border-bottom-left-radius: 0px;line-height: 0;\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;transform: translate3d(-13px, 0px, 0px);\">\n<section style=\"outline: 0px;display: inline-block;width: 25px;height: 10px;vertical-align: top;overflow: hidden;line-height: 0;border-style: solid solid none;border-width: 3px 3px 2px;border-radius: 0px;border-color: rgb(33, 166, 210) rgb(33, 166, 210) rgb(15, 76, 129);\"><br style=\"outline: 0px;\"  \/><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;transform: translate3d(-1px, 0px, 0px);\">\n<section style=\"outline: 0px;text-align: justify;color: rgb(33, 166, 210);font-size: 16px;line-height: 1.5;\">\n<p style=\"outline: 0px;\"><strong style=\"outline: 0px;\">\u5bfc\u8bed<\/strong><\/p>\n<\/section>\n<\/section>\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;transform: translate3d(-13px, 0px, 0px) rotateX(180deg);\">\n<section style=\"outline: 0px;display: inline-block;width: 24px;height: 10px;vertical-align: top;overflow: hidden;line-height: 0;border-style: solid solid none;border-width: 3px 3px 2px;border-radius: 0px;border-color: rgb(33, 166, 210) rgb(33, 166, 210) rgb(15, 76, 129);\"><br style=\"outline: 0px;\"  \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 4px;padding-left: 4px;outline: 0px;clear: right;box-shadow: rgb(0, 0, 0) 0px 0px 0px;min-height: 4.5em !important;\">\n<section powered-by=\"xiumi.us\" style=\"margin-top: 5px;margin-bottom: 5px;outline: 0px;\">\n<section style=\"padding-right: 8px;padding-left: 8px;outline: 0px;font-size: 13px;line-height: 2;letter-spacing: 0.544px;\">\n<p style=\"outline: 0px;clear: none;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;\"><\/strong><span style=\"font-size: 13px;\"><strong><span style=\"letter-spacing: 0.544px;color: rgb(63, 63, 63);\">\u7269\u7406\u7cfb\u7edf\u5728\u5bf9\u79f0\u4e0e\u5bf9\u79f0\u6027\u7834\u7f3a\u4e4b\u95f4\uff0c\u5e73\u8861\u4e0e\u975e\u5e73\u8861\u4e4b\u95f4\uff0c\u4e92\u6613\u4e0e\u975e\u4e92\u6613\u4e4b\u95f4\uff0c\u4eff\u4f5b\u4ea4\u7ec7\u7740\u4e00\u9996\u4e8c\u91cd\u594f\u9e23\u66f2\uff0c\u5bfc\u81f4\u79cd\u79cd\u5947\u5999\u7684\u7269\u6001\u6d8c\u73b0\u548c\u76f8\u53d8\u3002\u8fd9\u4e9b\u7269\u7406\u7cfb\u7edf\u7684\u975e\u4e92\u6613\u6027\u4f5c\u7528\u548c\u76f8\u53d8\uff0c\u80fd\u5426\u63a8\u5e7f\u5230\u66f4\u590d\u6742\u7684\u5b8f\u89c2\u7cfb\u7edf\uff0c\u6bd4\u5982\u751f\u7269\u7684\u96c6\u7fa4\u73b0\u8c61\u3001\u795e\u7ecf\u5143\u7f51\u7edc\u7684\u540c\u6b65\u3001\u6591\u56fe\u5f62\u6210\uff1f\u8fd1\u671f\u53d1\u8868\u5728 <em>Nature<\/em> \u4e0a\u7684\u8bba\u6587\u201cNon-reciprocal phase transitions\u201d\u57fa\u4e8e\u5e8f\u53c2\u91cf\u573a\u8bba\u65b9\u6cd5\uff0c\u7ed3\u5408\u5206\u5c94\u7406\u8bba\u7684\u5947\u5f02\u70b9\u7814\u7a76\uff0c\u6355\u6349\u5230\u4e86\u4e09\u79cd\u5178\u578b\u7684\u8fdc\u79bb\u5e73\u8861\u6001\u7684\u81ea\u7ec4\u7ec7\u975e\u4e92\u6613\u6027\uff1a\u540c\u6b65\u5316\u3001\u7ed3\u7fa4\u548c\u6591\u56fe\u5f62\u6210\uff1b\u5e76\u533a\u5206\u4e86\u624b\u5f81\u76f8\u3001\u4ea4\u6362\u76f8\u4e0e\u6df7\u5408\u76f8\u4e09\u79cd\u7269\u76f8\uff0c\u4e3a\u8fd9\u4e00\u5927\u7c7b\u975e\u4e92\u6613\u4e34\u754c\u73b0\u8c61\u7684\u4e00\u822c\u7406\u8bba\u5960\u5b9a\u4e86\u57fa\u7840\u3002<\/span><\/strong><\/span><\/p>\n<p style=\"outline: 0px;clear: none;\"><strong><span style=\"letter-spacing: 0.544px;\"><br  \/><\/span><\/strong><\/p>\n<p style=\"outline: 0px;clear: none;\"><strong style=\"outline: 0px;\"><span style=\"outline: 0px;letter-spacing: 0.544px;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;\"><span style=\"outline: 0px;letter-spacing: 0.544px;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;\"><span style=\"outline: 0px;letter-spacing: 0.544px;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;\"><strong style=\"outline: 0px;color: rgb(0, 0, 0);text-align: start;\">\u7814\u7a76\u9886\u57df\uff1a<\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><span style=\"font-size: 13px;\"><strong style=\"outline: 0px;\"><span style=\"outline: 0px;letter-spacing: 0.544px;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;\"><span style=\"outline: 0px;letter-spacing: 0.544px;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;\"><span style=\"outline: 0px;letter-spacing: 0.544px;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;\"><strong style=\"outline: 0px;color: rgb(0, 0, 0);text-align: start;\">\u975e\u5e73\u8861\u7cfb\u7edf\uff0c\u975e\u4e92\u6613\u6027\uff0c\u5bf9\u79f0\u6027\u7834\u7f3a\uff0c\u4e34\u754c\u76f8\u53d8\uff0c\u6d3b\u6027\u7269\u8d28\uff0c\u96c6\u4f53\u8fd0\u52a8<\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;outline: 0px;\">\n<section style=\"outline: 0px;width: 661px;\">\n<section style=\"outline: 0px;clear: both;line-height: 0;\">\n<section style=\"outline: 0px;line-height: 0;width: 0px;\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align:top;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;margin-bottom: 10px;outline: 0px;letter-spacing: 0.544px;white-space: normal;color: rgb(63, 63, 63);font-family: PingFangSC-light;font-size: 15px;background-color: rgb(255, 255, 255);text-align: center;\">\n<section style=\"outline: 0px;vertical-align: middle;display: inline-block;line-height: 0;\"><img class=\"rich_pages wxw-img\" data-fileid=\"100098753\" data-ratio=\"0.07314814814814814\"  data-type=\"png\" data-w=\"1080\" style=\"outline: 0px;box-sizing: border-box;vertical-align: middle;visibility: visible !important;width: 677px !important;height: auto !important;\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-e16cd5b776e38a4f6806c73548bdc7d4.png\"  \/><strong style=\"outline: 0px;letter-spacing: 0.544px;text-align: right;font-size: 13px;color: rgb(0, 0, 0);\"><\/strong><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\" style=\"margin-top: 0pt;margin-bottom: 0pt;outline: 0px;letter-spacing: 0.544px;white-space: normal;color: rgb(73, 73, 73);line-height: 1.7;font-size: 11pt;font-family: PingFangSC-light;background-color: rgb(255, 255, 255);text-align: right;\">\n<p style=\"outline: 0px;\"><span style=\"letter-spacing: 0.544px;font-size: 13px;\">\u5341\u4e09\u7ef4<\/span><span style=\"font-size: 16px;letter-spacing: 0.544px;\">&nbsp;<\/span><span style=\"letter-spacing: 0.544px;outline: 0px;font-size: 13px;\"><strong style=\"outline: 0px;color: rgb(0, 0, 0);\">| \u4f5c\u8005<\/strong><\/span><\/p>\n<p style=\"outline: 0px;\"><span style=\"letter-spacing: 0.544px;font-size: 13px;\">\u6881\u91d1<\/span><span style=\"letter-spacing: 0.544px;outline: 0px;font-size: 13px;\"><strong style=\"outline: 0px;color: rgb(0, 0, 0);\"><span style=\"color: rgb(73, 73, 73);font-family: PingFangSC-light;letter-spacing: 0.544px;text-align: right;background-color: rgb(255, 255, 255);font-size: 16px;\">&nbsp;<\/span><span style=\"color: rgb(73, 73, 73);font-family: PingFangSC-light;letter-spacing: 0.544px;text-align: right;background-color: rgb(255, 255, 255);outline: 0px;\"><strong style=\"outline: 0px;color: rgb(0, 0, 0);\">|&nbsp;\u5ba1\u6821<\/strong><\/span><\/strong><\/span><\/p>\n<p style=\"outline: 0px;\"><span style=\"letter-spacing: 0.544px;outline: 0px;color: rgb(63, 63, 63);font-size: 13px;\">\u9093\u4e00\u96ea<\/span><span style=\"letter-spacing: 0.544px;outline: 0px;font-size: 13px;\"><strong style=\"outline: 0px;color: rgb(0, 0, 0);\">&nbsp;| \u7f16\u8f91<\/strong><\/span><br  \/><\/p>\n<p style=\"outline: 0px;\"><br  \/><\/p>\n<\/section>\n<p style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;\"><br  \/><\/p>\n<section style=\"text-align: center;margin-left: 8px;margin-right: 8px;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-backh=\"289\" data-backw=\"469\" data-ratio=\"0.6157407407407407\"  data-type=\"png\" data-w=\"648\" height=\"288px\" style=\"font-size: 16px;white-space: normal;width: 100%;height: auto;\" width=\"469px\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-a29a02aa3173c70ebb0ece8421f5da60.png\"  \/><\/section>\n<blockquote data-type=\"2\" data-url=\"\" data-author-name=\"\" data-content-utf8-length=\"147\" data-source-title=\"\" style=\"outline: 0px;color: rgba(0, 0, 0, 0.5);font-family: -apple-system, &quot;system-ui&quot;, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);\">\n<section style=\"outline: 0px;\">\n<section style=\"outline: 0px;\">\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;line-height: 1.75em;text-align: left;\"><span style=\"color: rgb(136, 136, 136);letter-spacing: 0.544px;\">\u8bba\u6587\u9898\u76ee\uff1a<\/span><\/p>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;line-height: 1.75em;text-align: left;\"><span style=\"color: rgb(136, 136, 136);letter-spacing: 0.544px;\">Non-reciprocal phase transitions<\/span><\/p>\n<section style=\"margin-right: 8px;margin-left: 8px;font-size: 16px;white-space: normal;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\u8bba\u6587\u94fe\u63a5\uff1a<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;font-size: 16px;white-space: normal;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;\">https:\/\/www.nature.com\/articles\/s41586-021-03375-9<\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n<p style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;\"><br  \/><\/p>\n<p style=\"line-height: 1.75em;margin-left: 16px;margin-right: 16px;margin-bottom: 5px;\"><span style=\"font-size: 15px;color: rgb(33, 166, 210);\"><strong>\u76ee\u5f55<\/strong><\/span><\/p>\n<section style=\"line-height: 1.75em;margin-left: 16px;margin-right: 16px;margin-bottom: 5px;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><strong><\/p>\n<p>\u4e00\u3001\u975e\u4e92\u6613\u4f5c\u7528\u4e0e\u5bf9\u79f0\u6027\u7834\u7f3a<\/p>\n<p>\u4e8c\u3001\u975e\u4e92\u6613\u6027\u7684\u5e8f\u53c2\u91cf\u63cf\u8ff0<\/p>\n<p>\u4e09\u3001\u8fd0\u52a8\u6a21\u5f0f\uff1a\u7ed3\u7fa4\u3001\u540c\u6b65\u5316\u4e0e\u6591\u56fe\u5f62\u6210<\/p>\n<p>\u56db\u3001\u975e\u4e92\u6613\u76f8\u53d8\uff1a\u624b\u5f81\u76f8\u3001\u4ea4\u6362\u76f8\u4e0e\u6df7\u5408\u76f8<\/p>\n<p>\u4e94\u3001\u8bc6\u522b\u5e76\u5206\u6790\u975e\u4e92\u6613\u7cfb\u7edf\u5947\u5f02\u70b9<\/p>\n<p>\u516d\u3001\u603b\u7ed3\uff1a\u89c2\u6d4b\u91cf\u3001\u5b88\u6052\u6d41\u3001\u975e\u4e92\u6613\u6027\u3001\u5bf9\u79f0\u6027\u7834\u7f3a\u4e0e\u76f8\u53d8<\/p>\n<p><br  \/><\/p>\n<p><\/strong><\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5728\u968f\u65f6\u95f4\u6f14\u5316\u800c\u53d8\u5316\u7684\u975e\u5e73\u8861\u6001\u4e0b\uff0c\u7cfb\u7edf\u95f4\u7684<strong>\u4e92\u6613\u6027<\/strong><\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08reciprocity\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u7f3a\u5931\u662f\u4e00\u79cd\u5e38\u6001\u800c\u975e\u4f8b\u5916\u3002<strong>\u975e\u4e92\u6613\u6027<\/strong>\u53d1\u751f\u5728\u6d3b\u6027\u7269\u8d28\u3001\u795e\u7ecf\u7f51\u7edc\u3001\u517c\u5177\u987a\u4ece\u548c\u53db\u9006\u6210\u5458\u7684\u793e\u4f1a\u7fa4\u4f53\u3001\u5b9a\u5411\u754c\u9762\u751f\u957f\u73b0\u8c61\u548c\u8d85\u6750\u6599\u7b49\u975e\u5e73\u8861\u7cfb\u7edf\u4e2d\u3002\u5c3d\u7ba1\u4e4b\u524d\u5bf9\u975e\u4e92\u6613\u4ecb\u8d28\u4e2d\u6ce2\u7684\u4f20\u64ad\u6709\u4e86\u4e00\u5b9a\u6df1\u5165\u7814\u7a76\uff0c\u4f8b\u5982\u5149\u5b66\u7cfb\u7edf\u5728\u300c\u5b87\u79f0-\u65f6\u95f4\u300d\uff08PT\uff09\u5bf9\u79f0\u53d8\u6362\u4e0b\u7684\u7834\u7f3a[1-20]\uff0c\u4f46\u4eba\u4eec\u5bf9\u975e\u4e92\u6613\u4f5c\u7528\u4e2d\u591a\u4f53\u7cfb\u7edf\u7684\u96c6\u4f53\u884c\u4e3a\u5f71\u54cd\u4f9d\u7136\u6240\u77e5\u751a\u5c11\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8fd1\u671f\u53d1\u8868\u5728 <em>Nature<\/em> \u4e0a\u7684\u8bba\u6587 <em>Non-reciprocal phase transitions<\/em>\uff0c\u57fa\u4e8e<strong>\u5e8f\u53c2\u91cf<\/strong>\u573a\u8bba\u65b9\u6cd5\u63cf\u8ff0\u4e86\u8fd9\u4e9b\u8fdc\u79bb\u5e73\u8861\u6001\u76f8\u7684\u6d8c\u73b0\uff0c\u5e76\u6355\u6349\u5230\u4e86\u4e09\u79cd\u5178\u578b\u7684\u81ea\u7ec4\u7ec7\u975e\u4e92\u6613\u6027\uff1a<strong>\u540c\u6b65\u5316\u3001\u7ed3\u7fa4<\/strong>\u548c<strong>\u6591\u56fe\u5f62\u6210<\/strong>\u3002\u4f5c\u8005\u7814\u7a76\u53d1\u73b0\uff0c\u975e\u4e92\u6613\u6027\u4f1a\u5bfc\u81f4\u4e00\u79cd\u81ea\u53d1\u8fde\u7eed\u6027\u5bf9\u79f0\u7834\u7f3a\u52a8\u6001\u6062\u590d\u7684\u65f6\u95f4\u4f9d\u8d56\u6027<strong>\u624b\u5f81\u76f8<\/strong>\uff0c\u4e00\u79cd\u4e27\u5931\u65f6\u95f4\u5e73\u79fb\u4e0d\u53d8\u6027\u800c\u4fdd\u6301\u79bb\u6563\u5bf9\u79f0\u6027<strong>\u7684\u4ea4\u6362\u76f8<\/strong>\uff0c\u4ee5\u53ca\u4e8c\u8005\u7684<strong>\u6df7\u5408\u76f8<\/strong>\u3002\u4f5c\u8005\u901a\u8fc7\u7b80\u5355\u7684\u673a\u5668\u4eba\u6f14\u793a\u548c\u591a\u79cd\u6570\u503c\u6a21\u62df\u6765\u8bf4\u660e\u8fd9\u4e9b\u673a\u5236\u3002\u8fd9\u79cd\u975e\u4e92\u6613\u76f8\u53d8\u662f\u88ab\u79f0\u4e3a<strong>\u5947\u5f02\u70b9<\/strong>[21]\u7684\u5149\u8c31\u63a7\u5236\u7684\uff0c\u7cfb\u7edf\u4e2d\u7684\u96c6\u7fa4\u73b0\u8c61\u5305\u62ec\u4ece\u6d3b\u6027\u65f6\u95f4<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u51c6\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u6676\u4f53\u5230\u5947\u5f02\u70b9\u5f3a\u5316\u4e0b\u6591\u56fe\u5f62\u6210\u548c\u6ede\u540e<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08hysteresis\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u7b49\u7b49\u3002\u8fd9\u4e9b\u5de5\u4f5c\u4e3a\u975e\u5e73\u8861\u6001\u7cfb\u7edf\u4e0b\u52a8\u529b\u8fc7\u7a0b\u4e0d\u53d7\u4f18\u5316\u539f\u5219\u5236\u7ea6\u7684\u4e34\u754c\u73b0\u8c61\u4e00\u822c\u7406\u8bba\u5960\u5b9a\u4e86\u57fa\u7840\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<h3 style=\"outline: 0px;white-space: normal;letter-spacing: 0.544px;font-family: -apple-system, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;background-color: rgb(255, 255, 255);\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;font-family: PingFangSC-light;text-align: right;font-size: 13px;\">\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;margin-bottom: 10px;outline: 0px;letter-spacing: 0.544px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;text-align: center;\">\n<section style=\"outline: 0px;display: inline-block;vertical-align: middle;\">\n<section style=\"margin-bottom: -2px;outline: 0px;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;clear: both;line-height: 0;\">\n<section style=\"outline: 0px;line-height: 0;width: 0px;\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align:top;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;outline: 0px;border-left: 3px solid rgb(33, 166, 210);border-right: 3px solid rgb(33, 166, 210);border-top-color: rgb(33, 166, 210);border-bottom-color: rgb(33, 166, 210);font-size: 16px;color: rgb(0, 0, 0);line-height: 1.4;\">\n<p style=\"outline: 0px;\"><strong style=\"outline: 0px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;\">\u4e00\u3001\u975e\u4e92\u6613\u4f5c\u7528\u4e0e\u5bf9\u79f0\u6027\u7834\u7f3a<\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-size: 16px;white-space: normal;line-height: 1.75em;\"><br style=\"outline: 0px;font-family: -apple-system, &quot;system-ui&quot;, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;background-color: rgb(255, 255, 255);\"  \/><\/p>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u7269\u4f53\u8fd0\u52a8\u72b6\u6001\u6216\u7cfb\u7edf\u4e4b\u95f4\u603b\u5177\u6709\u67d0\u79cd\u4f5c\u7528\u5173\u7cfb\u3002\u4f8b\u5982\u5e73\u8861\u7cfb\u7edf\u4e0b\u7684\u725b\u987f\u7b2c\u4e09\u5b9a\u5f8b\uff0c\u5176\u4f5c\u7528\u529b\u4e0e\u53cd\u4f5c\u7528\u529b\u2014\u2014\u5982\u5730\u7403\u548c\u6708\u7403\u4e4b\u95f4\u7684\u4e07\u6709\u5f15\u529b\uff0c\u603b\u662f\u5927\u5c0f\u76f8\u7b49\u3001\u65b9\u5411\u76f8\u53cd\uff0c\u5373 F<sub style=\"color: rgb(63, 63, 63);white-space: normal;\">AB<\/sub> = -F<sub style=\"color: rgb(63, 63, 63);white-space: normal;\">BA<\/sub>\u3002\u4f46\u8ba9\u6211\u4eec\u8003\u8651\u8fd9\u6837\u4e00\u79cd\u60c5\u51b5\u3002\u636e\u8bf4\u6709\u4e00\u6b21\u7269\u7406\u4f1a\u8bae\u540e\uff0c\u7231\u56e0\u65af\u5766\u548c\u5c45\u91cc\u592b\u4eba\u7b49\u4eba\u722c\u5230\u4e86\u963f\u5c14\u5351\u65af\u5c71\u9876\u3002\u5c45\u91cc\u592b\u4eba\u95ee\uff0c\u73b0\u5728\u5730\u7403\u7684\u8d28\u5fc3\u53d1\u751f\u4e86\u53d8\u5316\uff0c\u90a3\u4e48\u6708\u7403\u600e\u4e48\u80fd\u90a3\u4e48\u5feb\u77e5\u9053\u6211\u4eec\u5728\u722c\u5c71\uff0c\u5e76\u6539\u53d8\u5bf9\u5730\u7403\u7684\u5f15\u529b\u5927\u5c0f\u5462\uff1f\u7531\u76f8\u5bf9\u8bba\uff0c\u4efb\u4f55\u5df2\u77e5\u4f5c\u7528\u548c\u4fe1\u53f7\u7684\u4f20\u9012\u901f\u5ea6\u90fd\u4e0d\u5f97\u8d85\u8fc7\u5149\u901f\uff0c\u56e0\u6b64\u867d\u7136\u6700\u540e\u5730\u6708\u4e4b\u95f4\u5904\u4e8e\u5e73\u8861\u6001\uff0c\u4f46\u4e00\u5b9a\u5b58\u5728\u67d0\u4e9b\u65f6\u523b\u4f7f\u5f97 F<sub>AB<\/sub> \u2260 -F<sub>BA<\/sub> \uff0c\u5373\u4e2d\u95f4\u4ea7\u751f\u4e86\u975e\u4e92\u6613\u6027\u4f5c\u7528\u3002<\/span><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u4f46\u5982\u679c\u4ece\u66f4\u57fa\u672c\u7684\u5b88\u6052\u89d2\u5ea6\u6765\u770b\uff0c\u5730\u6708\u4e4b\u95f4\u7684\u5f15\u529b\u4f9d\u7136\u9075\u5b88\u7740\u67d0\u79cd\u4e0d\u53d8\u6027\u3002\u53ea\u9700\u5047\u5b9a\u4f20\u64ad\u4ecb\u8d28\u5177\u6709\u52a8\u91cf\uff0c\u90a3\u4e48\u6574\u4e2a\u7cfb\u7edf\u4ecd\u7136\u5728\u4e00\u5207\u65f6\u95f4\u5185\u90fd\u4e25\u683c\u4fdd\u6301\u52a8\u91cf\u5b88\u6052\uff1a\u5373\u76f8\u4e92\u4f5c\u7528\u7684\u6240\u6709\u7269\u4f53\u7684\u8fd0\u52a8\u603b\u8d8b\u52bf<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08mv\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5728\u4e00\u5207\u7a7a\u95f4\u4e0d\u53d8\u3002\u52a8\u91cf\u5b88\u6052\u662f\u7a7a\u95f4\u5747\u5300\u6027<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u626d\u66f2\u7a0b\u5ea6\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u7684\u4f53\u73b0\uff0c\u5b83\u610f\u5473\u7740\u7269\u4f53\u8fd0\u52a8\u89c4\u5f8b\u5728\u6240\u6709\u7a7a\u95f4\u6210\u7acb\uff0c\u65e0\u8bba\u4efb\u4f55\u5730\u70b9\u548c\u89c2\u5bdf\u8005<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u53c2\u7167\u7cfb\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u3002\u53ef\u89c1\u5b83\u975e\u5e38\u6839\u672c\uff0c\u662f\u79d1\u5b66\u89c4\u5f8b\u4ea7\u751f\u7684\u5927\u524d\u63d0\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u52a8\u91cf\u5b88\u6052\u8fd8\u53ef\u4ee5\u6570\u5b66\u7fa4\u8bba\u8bed\u8a00\u6765\u8868\u8fbe\uff1a\u7a7a\u95f4\u5177\u6709<strong>\u5e73\u79fb\u5bf9\u79f0\u6027<\/strong>\u2014\u2014\u5bf9\u7269\u4f53\u8fdb\u884c\u300c\u7a7a\u95f4\u5e73\u79fb\u300d\u64cd\u4f5c<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u53d8\u6362\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u540e\uff0c\u7269\u4f53\u8fd0\u52a8\u8d8b\u52bf\u4ee5\u53ca\u76f8\u5173\u7269\u7406\u89c4\u5f8b\u4e0d\u53d8\u300220 \u4e16\u7eaa\u6700\u4f1f\u5927\u7684\u6570\u5b66\u5bb6\u4e4b\u4e00\u8bfa\u7279\uff0c\u5979\u8bc1\u660e\u4e86\u7406\u8bba\u7269\u7406\u5b66\u7684\u4e2d\u5fc3\u7ed3\u679c<strong>\u8bfa\u7279\u5b9a\u7406<\/strong><\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08Noether&#8217;s theorem\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">[22]\uff1a<strong>\u6bcf\u79cd\u8fde\u7eed\u7684\u5bf9\u79f0\u6027\u90fd\u5bf9\u5e94\u7740\u4e00\u79cd\u5b88\u6052\u5f8b\u3002<\/strong><\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;text-align: center;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-ratio=\"0.7507692307692307\"  data-type=\"png\" data-w=\"975\" height=\"auto\" width=\"975\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-c117f6327a02a31987918d6a17c39ab0.png\"  \/><\/section>\n<p style=\"margin-right: 8px;margin-left: 8px;white-space: normal;text-align: justify;line-height: 1.5em;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">\u56fe1\uff1a\u8bfa\u7279\u5b9a\u7406\u4e0b\u5bf9\u79f0\u6027\u4e0e\u5b88\u6052\u91cf\u4e4b\u95f4\u5b58\u5728\u5bf9\u5e94\u5173\u7cfb[23]\uff0c\u5305\u62ec\u52a8\u91cf-\u7a7a\u95f4\u5e73\u79fb\u5bf9\u79f0\uff0c\u89d2\u52a8\u91cf-\u7a7a\u95f4\u65cb\u8f6c\u5bf9\u79f0\u3001\u80fd\u91cf-\u65f6\u95f4\u5e73\u79fb\u5bf9\u79f0\u7b49\u7b49\u3002<\/span><\/p>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5bf9\u79f0\u6027\u610f\u5473\u7740\u89c4\u5f8b\u7684\u666e\u9002\u6027\uff0c\u5b83\u4e0d\u4ec5\u8868\u73b0\u4e3a\u65f6\u7a7a\u7ed3\u6784\uff0c\u8fd8\u4ee5\u8fd0\u52a8\u65b9\u7a0b\u5f62\u5f0f\u4f53\u73b0\u5728\u7269\u4f53\u8fd0\u52a8\u548c\u76f8\u4e92\u4f5c\u7528\u7cfb\u7edf\u4e2d\u3002\u4ece\u4f5c\u7528\u89d2\u5ea6\u770b\u5373\u5b58\u5728\u4e92\u6613\u6027\u5173\u7cfb\uff1areciprocal \u5728\u62c9\u4e01\u8bed\u8bcd\u6e90\u5c31\u662f\u300c\u5411\u524d\u548c\u5411\u540e\u8d70\u7684\u8def\u4e00\u6837\u300d\u7684\u610f\u601d[40] \u3002\u76f8\u53cd\uff0c<strong>\u975e\u4e92\u6613\u6027<\/strong>\u7684\u5b58\u5728\u5219\u610f\u5473\u7740\u51fa\u73b0\u4e86\u67d0\u79cd\u60c5\u51b5\u4e0b\u7684<strong>\u5b88\u6052\u7834\u574f<\/strong>\u548c&nbsp;<strong>\u5bf9\u79f0\u6027\u7834\u7f3a<\/strong>\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u7531\u4e8e\u534e\u88d4\u79d1\u5b66\u5bb6\u6768\u632f\u5b81\u548c\u674e\u653f\u9053\u83b7\u5f97 1957 \u5e74\u8bfa\u8d1d\u7269\u7406\u5b66\u5956\uff0c\u4e00\u4e2a\u6bd4\u8f83\u77e5\u540d\u7684\u5b88\u6052\u7834\u574f\u662f\u5b87\u79f0\u4e0d\u5b88\u6052<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08Parity violation\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff1a\u5728\u5f31\u76f8\u4e92\u4f5c\u7528\u4e0b\uff0c\u4e92\u4e3a\u955c\u50cf\u7684\u7c92\u5b50\u8fd0\u52a8\u4e0d\u5bf9\u79f0\uff0cK\u4ecb\u5b50\u81ea\u65cb\u5728\u4e0d\u540c\u624b\u5f81<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08chiral\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u65b9\u5411\u78c1\u573a\u4e2d\u53d1\u751f\u4e86\u4e0d\u540c\u7684\u8870\u53d8\u3002\u8fd9\u79cd\u5fae\u89c2\u4e0b\u7684\u975e\u4e92\u6613\u6027\uff0c\u4e0e\u5b8f\u89c2\u4e16\u754c\u955c\u50cf\u5fc5\u7136\u5bf9\u79f0\u76f8\u6bd4\u662f\u4e00\u4e2a\u5de8\u5927\u7684\u53cd\u5e38\u8bc6\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u4e0d\u8fc7\uff0c\u5c31\u50cf\u524d\u9762\u5f15\u529b\u7684\u6545\u4e8b\u4e00\u6837\uff0c\u5728\u91cf\u5b50\u529b\u5b66\u5728\u590d\u6570\u57df\u7684\u63a8\u5e7f\u4e2d\uff0c\u53c8\u6709\u4e00\u7c7b\u300c\u5b87\u79f0-\u65f6\u95f4\u300d\u5bf9\u79f0\u6027<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08Parity-Time\uff0cPT\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff1a\u7c92\u5b50\u6216\u7cfb\u7edf\u5728\u7a7a\u95f4\u955c\u50cf\u548c\u65f6\u95f4\u53cd\u6f14\u53d8\u6362\u4e0b\u7684\u4e0d\u53d8\u6027\u3002\u5bf9\u4e00\u4e2a\u4e0e\u5916\u754c\u65e0\u80fd\u91cf\u4ea4\u6362\u7684<strong>\u4fdd\u5b88\u7cfb\u7edf<\/strong><\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u52a8\u80fd\u548c\u52bf\u80fd\u4e4b\u548c\u4e3a\u5b9a\u503c\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u6765\u8bf4\uff0c\u5176\u54c8\u5bc6\u987f\u91cf\u5171\u8f6d\u4e0d\u53d8\u4e14\u5177\u6709\u5b9e\u6570\u7279\u5f81\u503c\u3002\u540c\u6837\u8fd8\u6709PT\u5bf9\u79f0\u6027\u7834\u7f3a\uff0c\u5bf9\u4e00\u4e2a\u6709\u80fd\u91cf\u6d41\u5165\u4e0e\u6d41\u51fa\u7684<strong>\u975e\u5e73\u8861\u5f00\u653e\u7cfb\u7edf<\/strong><\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u589e\u76ca-\u635f\u8017\u7cfb\u7edf\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u4f1a\u4f34\u968f\u7740\u590d\u6570\u7279\u5f81\u503c\u51fa\u73b0\uff0c\u6b64\u65f6PT\u4e0d\u518d\u5b88\u6052\uff0c\u4e14\u5728\u76f8\u53d8\u8fc7\u7a0b\u4e2d\u4f1a\u51fa\u73b0<strong>\u5947\u5f02\u70b9<\/strong><\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08exceptional points\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u7269\u7406\u7cfb\u7edf\u67d0\u4e2a\u5bf9\u79f0\u88ab\u7834\u574f\u540e\u5f80\u5f80\u53ef\u4ee5\u901a\u8fc7\u53e6\u4e00\u4e2a\u5bf9\u79f0\u6765\u5f25\u8865\uff0c\u8fd9\u4e24\u4e2a\u5bf9\u79f0\u7684\u4e58\u79ef\u4f9d\u7136\u5b88\u6052\u3002\u9664\u4e86PT\u5bf9\u79f0\u6027\u5916\uff0c\u8fd8\u6709CP\u5bf9\u79f0\u53ca\u7834\u7f3a\u7b49\u7b49\u3002\u5bf9\u7c92\u5b50\u7cfb\u7edf\u800c\u8a00\uff0c\u53ea\u6709\u52a0\u4e0a\u7535\u8377\u7684CPT\u8054\u5408\u5bf9\u79f0\u53d8\u6362\u624d\u662f\u9002\u5408\u6240\u6709\u8303\u56f4\u5b88\u6052\u7684\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;text-align: center;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-ratio=\"0.2484375\"  data-type=\"png\" data-w=\"1920\" height=\"auto\" width=\"2600\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-185d3edf59a028b0d2abf75f4a8a449c.png\"  \/><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;text-align: center;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">\u56fe2\uff1a\u589e\u76ca-\u635f\u8017\u7cfb\u7edf\u7684PT\u5bf9\u79f0\u6027\u548c\u7834\u7f3a[24]<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u53ef\u89c1\u6240\u6709\u7269\u7406\u7cfb\u7edf\uff0c\u65e0\u8bba\u5168\u5c40\u8fd8\u662f\u5c40\u57df\u3001\u8fde\u7eed\u8fd8\u662f\u79bb\u6563\uff0c\u5728\u5b88\u6052\u4e0e\u4e0d\u5b88\u6052\uff0c\u5bf9\u79f0\u4e0e\u5bf9\u79f0\u6027\u7834\u7f3a\uff0c\u5e73\u8861\u4e0e\u975e\u5e73\u8861\u4e4b\u95f4\uff0c\u4e92\u6613\u4e0e\u975e\u4e92\u6613\u4e4b\u95f4\uff0c\u4eff\u4f5b\u603b\u662f\u4ea4\u7ec7\u7740\u4e00\u9996\u4e8c\u91cd\u594f\u9e23\u66f2\uff0c\u5bfc\u81f4\u79cd\u79cd\u5947\u5999\u7684\u7269\u6001\u6d8c\u73b0\u548c\u7cfb\u7edf\u76f8\u53d8\u3002\u4e92\u6613\u6027\u4e0e\u975e\u4e92\u6613\u6027\u4e00\u8d77\u51fa\u73b0\u5728\u7269\u7406\u5b66\u7684\u6240\u6709\u5206\u652f\u4e2d\uff0c\u4ece\u529b\u5b66\u3001\u70ed\u529b\u5b66\u3001\u51dd\u805a\u6001\u7269\u7406\u3001\u7535\u78c1\u5b66\u548c\u5149\u5b66\u3001\u76f8\u5bf9\u8bba\u3001\u91cf\u5b50\u529b\u5b66\u3001\u7c92\u5b50\u548c\u7eb3\u7c73\u7269\u7406\u5b66\u5230\u5b87\u5b99\u5b66\u4e2d\uff0c\u652f\u6491\u7740\u4e16\u754c\u65e0\u6570\u7684\u73b0\u8c61\u548c\u5e94\u7528\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u90a3\u4e48\u95ee\u9898\u6765\u4e86\uff1a\u8fd9\u4e9b\u7269\u7406\u7cfb\u7edf\u7684\u975e\u4e92\u6613\u6027\u4f5c\u7528\u548c\u76f8\u53d8\uff0c\u80fd\u5426\u63a8\u5e7f\u5230\u66f4\u590d\u6742\u7684\u5b8f\u89c2\u4e16\u754c\u4e2d\u53bb\uff1f<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u6700\u8fd1 <em>Non-reciprocal phase transitions<\/em> \u7684\u7814\u7a76\u5de5\u4f5c\uff0c\u901a\u8fc7<strong>\u5e8f\u53c2\u91cf<\/strong>\u7684\u573a\u8bba\u65b9\u6cd5\uff0c\u7ed3\u5408\u5206\u5c94\u7406\u8bba\u7684\u5947\u5f02\u70b9\u7814\u7a76\uff0c\u6355\u6349\u5230\u4e86\u4e09\u79cd\u5178\u578b\u7684\u8fdc\u79bb\u5e73\u8861\u6001\u7684\u81ea\u7ec4\u7ec7\u975e\u4e92\u6613\u6027\uff1a<strong>\u7ed3\u7fa4\u3001\u540c\u6b65\u5316<\/strong>\u4e0e<strong>\u6591\u56fe\u5f62\u6210<\/strong>\uff0c\u5e76\u533a\u5206\u4e86<strong>\u624b\u5f81\u76f8\u3001\u4ea4\u6362\u76f8<\/strong>\u4e0e<strong>\u6df7\u5408\u76f8<\/strong>\u4e09\u79cd\u4e00\u822c\u7269\u76f8\uff0c\u4e3a\u8fd9\u4e00\u5927\u7c7b\u975e\u4e92\u6613\u4e34\u754c\u73b0\u8c61\u7684\u4e00\u822c\u7406\u8bba\u5960\u5b9a\u4e86\u57fa\u7840\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;text-align: center;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-backh=\"305\" data-backw=\"562\" data-ratio=\"0.5427083333333333\"  data-type=\"png\" data-w=\"1920\" height=\"auto\" style=\"width: 100%;height: auto;\" width=\"2384\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-d345e5e93cb1d093b432f3d384e5ac7c.png\"  \/><\/section>\n<p style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.5em;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">\u56fe3\uff1a\u6253\u7834\u725b\u987f\u7b2c\u4e09\u5b9a\u5f8b\u7684\u300c\u975e\u4e92\u6613\u4e16\u754c\u300d\uff1a(a) \u73af\u5883\u6d41\u4e2d\u590d\u6742\u7b49\u79bb\u5b50\u4f53\u548c\u80f6\u4f53\u60ac\u6d6e\u6db2 (b) \u83cc\u7fa4 (c) \u9e1f\u7fa4 (d) \u6606\u866b\u7fa4 (e) \u9c7c\u7fa4 (f) \u5404\u79cd\u6355\u98df\u8005\u2014\u98df\u9975\u7cfb\u7edf (g) \u884c\u4eba\u548c\u4eba\u7fa4 (h) \u7f51\u7edc\u3001\u91d1\u878d\u5e02\u573a\u3001\u6d41\u884c\u75c5\u4f20\u64ad\u3001\u795e\u7ecf\u7cfb\u7edf\u3001\u8206\u60c5\u52a8\u6001\u7b49[25]<\/span><\/p>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<h3 style=\"outline: 0px;white-space: normal;letter-spacing: 0.544px;font-family: -apple-system, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;background-color: rgb(255, 255, 255);\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;font-family: PingFangSC-light;text-align: right;font-size: 13px;\">\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;margin-bottom: 10px;outline: 0px;letter-spacing: 0.544px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;text-align: center;\">\n<section style=\"outline: 0px;display: inline-block;vertical-align: middle;\">\n<section style=\"margin-bottom: -2px;outline: 0px;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;clear: both;line-height: 0;\">\n<section style=\"outline: 0px;line-height: 0;width: 0px;\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align:top;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;outline: 0px;border-left: 3px solid rgb(33, 166, 210);border-right: 3px solid rgb(33, 166, 210);border-top-color: rgb(33, 166, 210);border-bottom-color: rgb(33, 166, 210);font-size: 16px;color: rgb(0, 0, 0);line-height: 1.4;\">\n<p style=\"outline: 0px;\"><strong style=\"outline: 0px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;\">\u4e8c\u3001\u975e\u4e92\u6613\u6027\u7684\u5e8f\u53c2\u91cf\u63cf\u8ff0<\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-size: 16px;white-space: normal;line-height: 1.75em;\"><br style=\"outline: 0px;font-family: -apple-system, &quot;system-ui&quot;, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;background-color: rgb(255, 255, 255);\"  \/><\/p>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5e8f\u53c2\u91cf<\/span><\/strong><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08order parameter\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u662f\u4e00\u79cd\u523b\u753b\u7269\u7406\u7cfb\u7edf\u76f8\u53d8\u8fc7\u7a0b\u4e2d\u6709\u5e8f\u5316\u7a0b\u5ea6\u548c\u5bf9\u79f0\u6027\u7684\u6307\u6807<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u6807\u91cf\u6216\u77e2\u91cf\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u3002\u5728\u8fde\u7eed\u76f8\u53d8\u4e2d\uff0c\u5b83\u4e3b\u8981\u5ea6\u91cf\u76f8\u53d8\u70b9\u4ece\u96f6<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u65e0\u5e8f\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5230\u975e\u96f6<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u6709\u5e8f\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u4e4b\u95f4\u7684\u53d8\u5316\uff0c\u6570\u503c<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u6a21\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8d8a\u5927\uff0c\u5219\u7cfb\u7edf\u6709\u5e8f\u5ea6\u8d8a\u9ad8\uff0c\u5bf9\u79f0\u6027\u8d8a\u5dee\u3002\u534f\u540c\u6027\u63d0\u51fa\u8005\u8d6b\u5c14\u66fc\u00b7\u54c8\u80af<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08Hermann Haken\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8bf4\uff1a<\/span><br  \/><\/section>\n<blockquote style=\"white-space: normal;\">\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(136, 136, 136);\">\u5e8f\u53c2\u91cf\u5c31\u50cf\u4e00\u4e2a\u6728\u5076\u620f\u7684\u7275\u7ebf\u4eba\uff0c\u4ed6\u8ba9\u6728\u5076\u4eec\u8df3\u8d77\u821e\u6765\uff0c\u800c\u6728\u5076\u4eec\u53cd\u8fc7\u6765\u4e5f\u5bf9\u5b83\u8d77\u5f71\u54cd\u3001\u5236\u7ea6\u7740\u5b83[26]\u3002<\/span><\/section>\n<\/blockquote>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u4f8b\u5982\u5728\u6676\u683c\u4e2d\uff0c\u6700\u91cd\u8981\u7684\u53d8\u91cf\u662f\u539f\u5b50\u8fdc\u79bb\u6676\u683c\u4f4d\u7f6e\u7684\u8fd0\u52a8\uff0c\u78c1\u4f53\u4e2d\u5219\u662f\u5ffd\u7565\u5927\u91cf\u7ec6\u8282\u540e\u7535\u5b50\u95f4\u590d\u6742\u76f8\u4e92\u4f5c\u7528\u5bfc\u81f4\u7684\u5c40\u90e8\u78c1\u5316\u65b9\u5411\u3002\u5b83\u4eec\u90fd\u53ef\u4ee5\u7528\u5e8f\u53c2\u91cf\u6765\u8868\u793a\uff1a\u5bf9\u7a7a\u95f4\u6bcf\u4e2a\u70b9 <strong>x<\/strong>=(x,y,z)\uff0c\u90fd\u6709\u4e00\u4e2a\u5c40\u90e8\u8fd0\u52a8\u6216\u78c1\u5316 M(x) \u7684\u65b9\u5411\uff0c\u6807\u660e\u6253\u7834\u5411\u67d0\u4e2a\u65b9\u5411\u7684\u5bf9\u79f0\u6027\u3002\u8fd9\u79cd\u4ece\u771f\u5b9e\u7a7a\u95f4\u5230\u5e8f\u53c2\u91cf\u7a7a\u95f4\u7684\u6620\u5c04\u5c31\u6784\u6210\u4e86<strong>\u5e8f\u53c2\u91cf\u573a<\/strong>\uff1a\u5b83\u628a\u78c1\u4f53\u4e2d\u4e0d\u540c\u70b9\u5e26\u5230\u4e00\u4e2a\u5305\u542b\u5927\u5c0f\u548c\u65b9\u5411\u7684\u4e8c\u7ef4\u7403\u4f53\u8868\u9762\u4e0a\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;text-align: center;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-ratio=\"0.5871559633027523\"  data-type=\"png\" data-w=\"654\" height=\"auto\" width=\"654\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-503da02b7d3d14b9a3d578063702bfcc.png\"  \/><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;text-align: center;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">\u56fe4\uff1a\u4ece\u771f\u5b9e\u7a7a\u95f4\u7684\u70b9\u5230\u5e8f\u53c2\u91cf\u7a7a\u95f4\u7684\u8fd0\u52a8\u77e2\u91cf[27]<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5728\u975e\u4e92\u6613\u6027\u4f5c\u7528\u4e2d\u7531\u4e8e\u7cfb\u7edf\u968f\u65f6\u95f4\u5728\u6f14\u5316\uff0c\u6545\u5bf9\u7269\u79cd\u7fa4\u6216\u573a\u4e2d\u7684\u6bcf\u4e2a\u7269\u79cd a\uff0c\u53ef\u4ee5\u7528<strong>\u5e8f\u53c2\u91cf\u5411\u91cf<\/strong> v<sub>a<\/sub>(t,x) \u6765\u6a21\u62df\uff1a\u5373 a \u5728\u65f6\u95f4 t \u4f4d\u7f6e x \u7684\u77e2\u91cf\u3002\u90a3\u4e48\u8003\u8651\u4e24\u4e2a\u4e3b\u4f53 a\u3001b\uff0c\u5f88\u5bb9\u6613\u5f97\u5230\u4e24\u4e2a\u5e8f\u53c2\u91cf\u5173\u7cfb\u5728\u65f6\u95f4\u4e0b\u7684\u5bfc\u6570\uff1a<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-ratio=\"0.28052805280528054\"  data-type=\"png\" data-w=\"606\" height=\"66px\" width=\"237px\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-612379042b15d9e2e0f332561350e981.png\"  \/><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5176\u4e2d A<sub>ab<\/sub> \u548c B<sub>ba<\/sub> \u5206\u522b\u662f a \u2192 b\uff0c\u548c b \u2192 a \u7684\u8026\u5408\u53c2\u6570\u77e9\u9635\uff0c\u4ee3\u8868\u5bf9\u5bf9\u65b9\u7684\u5f71\u54cd\u5f3a\u5ea6\uff0cO(\u2207) \u5219\u662f\u88ab\u7701\u7565\u7684\u975e\u7ebf\u6027\u7a7a\u95f4\u5bfc\u6570\u9879\u3002\u90a3\u4e48\u8003\u8651\u4e00\u4e2a\u4e00\u822c\u7684\u591a\u4f53\u7cfb\u7edf<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u5982\u56db\u4f53\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u5373\u53ef\u5f97\u5230\u8868\u793a\u52a8\u529b\u7cfb\u7edf\u5e8f\u53c2\u91cf\u6f14\u5316\u7684\u4e00\u822c\u65b9\u7a0b\uff1a<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;text-align: center;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-ratio=\"0.07598784194528875\"  data-type=\"png\" data-w=\"1316\" height=\"37px\" style=\"width: 466px;height: 35px;\" width=\"497px\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-739df2db278984c4f0eef99f0212635a.png\"  \/><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u65b9\u7a0b\uff081\uff09\u8868\u793a\u5e8f\u53c2\u91cf v<sub>a<\/sub> \u5728 b\u3001c\u3001d \u5f71\u54cd\u4e0b\u968f\u65f6\u95f4\u7684\u53d8\u5316\u7387\uff1a\u5b83\u4e0e v<sub>b<\/sub> \u3001A<sub>ab<\/sub>\uff0c v<sub>b<\/sub>\u3001v<sub>c<\/sub>\u3001v<sub>d<\/sub> \u548c a \u4e0e bcd \u7684\u8026\u5408\u53c2\u6570\u77e9\u9635 B<sub>abcd<\/sub> \u90fd\u6709\u5173<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u8fd9\u91cc\u9690\u5f0f\u5bf9\u591a\u4f53\u95f4\u4f5c\u7528\u8fdb\u884c\u4e86\u5408\u5e76\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u7531\u4e8e\u5411\u91cf v<sub>a<\/sub>(t,x) \u5305\u542b\u4e86\u65b9\u5411\u548c\u5927\u5c0f\uff0c\u6545\u5728\u4e8c\u8005\u6709\u4e0d\u540c\u6539\u53d8\u65f6\uff0c\u4f1a\u5f62\u6210\u4e0d\u540c\u7684\u76f8\u53d8\u6a21\u5f0f\uff1a\u65b9\u5411\u6539\u53d8\u65f6\u5f62\u6210<strong>\u7ed3\u7fa4<\/strong><\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08flocking\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u5468\u671f\u6027\u8fd0\u52a8\u5bfc\u81f4<strong>\u540c\u6b65\u5316<\/strong><\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08synchronization\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u7eaf\u7cb9\u505a\u7a7a\u95f4\u5e73\u79fb\u8fd0\u52a8\u5219\u662f<strong>\u6591\u56fe\u5f62\u6210<\/strong><\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08pattern formation\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5bf9\u5e73\u8861\u7cfb\u7edf\u76f8\u53d8\uff0c\u7531\u4e8e\u5bf9\u80fd\u91cf<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u81ea\u7531\u80fd\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"> F \u6709&nbsp;<\/span><img loading=\"lazy\" data-ratio=\"0.26605504587155965\"  data-type=\"png\" data-w=\"436\" height=\"20px\" width=\"75.17241379310344px\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-96057cdac71988308862371dd7b9b2f5.png\"  \/><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u591a\u4f53\u4e4b\u95f4\u7684\u8026\u5408\u7cfb\u6570\u5b8c\u5168\u5bf9\u79f0\uff1b\u6545\u8fd9\u91cc\u53ea\u8981\u5141\u8bb8 &nbsp;A<sub>ab<\/sub> \u2260 B<sub>ba<\/sub>\uff0c\u5373\u53ef\u5c06\u4e92\u6613\u7cfb\u7edf\u7684\u4e34\u754c\u73b0\u8c61[28]\u7406\u8bba\u6269\u5c55\u5230\u7ed3\u7fa4\u3001\u540c\u6b65\u5316\u548c\u6591\u56fe\u5f62\u6210\u5728\u5185\u5404\u79cd\u5f62\u5f0f\u7684\u975e\u4e92\u6613\u7cfb\u7edf\uff0c\u5305\u62ec\u8bf8\u5982\u7f16\u7801\u81ea\u63a8\u8fdb\u7c92\u5b50\u7684\u5e73\u5747\u901f\u5ea6\u3001\u8026\u5408\u632f\u8361\u5668\u7684\u5e73\u5747\u76f8\u4f4d\u6216\u5468\u671f\u56fe\u6848\u7684\u632f\u5e45\u548c\u4f4d\u7f6e\u7b49\u7b49\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5bf9\u4e8e\u5176\u4e2d\u7684\u540c\u6b65\u5316\u8fc7\u7a0b\uff0c\u4f5c\u8005\u901a\u8fc7\u7f16\u7a0b\u4e3a<strong>\u975e\u4e92\u6613\u4f5c\u7528\u7684\u540c\u6b65\u673a\u5668\u4eba<\/strong>\u8fdb\u884c\u4e86\u5b9e\u9a8c\u3002\u79cd\u7fa4\u4e2d\u6709\u84dd\u7ea2\u4e24\u79cd\u673a\u5668\u4ebaAB\uff0c\u540c\u79cd\u4e3a\u4e92\u6613\u4f5c\u7528\uff0c\u5bf9\u5404\u81ea\u7684\u8026\u5408\u53c2\u6570\u5219 J<sub>AB<\/sub> \u2260 J<sub>BA<\/sub>\uff1a\u5f53 J<sub>AB<\/sub>&gt;0 \u65f6\uff0c\u84dd\u8272\u8bd5\u56fe\u4e0e\u7ea2\u8272\u5bf9\u9f50<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u540c\u5411\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0cJ<sub>AB<\/sub>&lt;0 \u65f6\uff0c\u5219\u8bd5\u56fe\u53cd\u5bf9\u9f50<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08antialign\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u3002\u5b9e\u9a8c\u524d\u8fd9\u4e9b\u673a\u5668\u4eba\u6309\u7167\u76f4\u5217<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08Alignment\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u6216\u53cd\u76f4\u5217\u5bf9\u9f50\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;text-align: center;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-backh=\"337\" data-backw=\"562\" data-ratio=\"0.5996732026143791\"  data-type=\"png\" data-w=\"612\" height=\"auto\" style=\"width: 100%;height: auto;\" width=\"612\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-14a9c69d67ebda321263b8bbe4302b34.png\"  \/><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;text-align: center;\"><span style=\"font-size: 13px;color: rgb(136, 136, 136);\">\u56fe5\uff1a\u975e\u4e92\u6613\u65cb\u8f6c\u7684\u673a\u5668\u4eba<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<p style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5b9e\u9a8c\u5f00\u59cb\uff0c\u8fd9\u4e9b\u673a\u5668\u4eba\u5373\u6309\u7167\u521d\u59cb\u53c2\u6570\uff0c\u6ca1\u6709\u4efb\u4f55\u5916\u90e8\u8c03\u8282\u4e0b\u81ea\u53d1\u5730\u987a\u65f6\u9488\u6216\u9006\u65f6\u9488\u65cb\u8f6c\uff0c\u6253\u7834\u4e86\u4e00\u5f00\u59cb\u7684\u5b87\u79f0\u5bf9\u79f0\u6027\u3002\u5373\u4f34\u968f\u5e8f\u53c2\u91cf v<sub>A<\/sub> \u548c v<sub>B<\/sub> \u4ece0\u5230\u975e\u96f6\u7684\u53d8\u5316\uff0c\u673a\u5668\u4eba\u7fa4\u5448\u73b0\u51fa\u4e86<strong>\u4ece\u9759\u6001\u76f4\u5217\u5230\u5b87\u79f0\u81ea\u53d1\u7834\u7f3a\u7684\u624b\u5f81\u8fd0\u52a8\u76f8<\/strong>\uff0c\u5e76\u5728\u7a33\u5b9a\u4e0b\u6765\u540e\u4f7f\u5e8f\u53c2\u91cf\u91cd\u65b0\u8d8b\u4e8e\u96f6\u3002\u8be6\u89c1\u4e0b\u9762\u89c6\u9891\uff1a<\/span><\/p>\n<p style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<p style=\"line-height: 1.75em;text-align: center;\"><iframe class=\"video_iframe rich_pages\" data-vidtype=\"2\" data-mpvid=\"wxv_2239861753931153408\" data-cover=\"http%3A%2F%2Fmmbiz.qpic.cn%2Fmmbiz_jpg%2FwibWV1DB7tWLYHuP9ibeHOPvqp796DkLXlsHibvhWmZ5uzQfkNr8QCRJ85reUjNbeJY5pfSP2IgVHp3JK7uicg9iaibw%2F0%3Fwx_fmt%3Djpeg\" allowfullscreen=\"\" frameborder=\"0\" data-ratio=\"1.7777777777777777\" data-w=\"1920\"  src=\"https:\/\/mp.weixin.qq.com\/mp\/readtemplate?t=pages\/video_player_tmpl&amp;action=mpvideo&amp;auto=0&amp;vid=wxv_2239861753931153408\" width=\"100%\" height=\"1080\"><\/iframe><\/p>\n<p style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><br  \/><\/p>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u6b63\u5982\u7b2c\u4e00\u8282\u56fe2\u3001\u56fe3\u6240\u793a\uff0c\u7f16\u7a0b\u673a\u5668\u4eba\u7684\u8fd0\u52a8\u8fc7\u7a0b\u975e\u5e38\u7c7b\u4f3c\u589e\u76ca-\u635f\u8017\u7cfb\u7edf\u548c\u6253\u7834PT\u5bf9\u79f0\u6027\u7684\u975e\u5e73\u8861\u76f8\u53d8\uff0c\u5b83\u4eec\u5728\u672c\u8d28\u4e0a\u662f\u540c\u4e00\u7c7b\u975e\u4e92\u6613\u7cfb\u7edf\u76f8\u53d8\u3002\u4f46\u5728\u8fd0\u52a8\u8868\u73b0\u6a21\u5f0f\u4e0a\u53c8\u6709\u6240\u4e0d\u540c\uff0c\u5177\u4f53\u800c\u8a00\u5bf9\u5e94\u7740\u4e0d\u540c\u5bf9\u79f0\u6027\u7684\u6253\u7834\u3002<\/span><\/section>\n<section style=\"white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<h2 data-foldable-wrapper=\"\" style=\"white-space: normal;\">\n<section style=\"line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\">&nbsp;<\/span><br  \/><\/section>\n<\/h2>\n<h3 style=\"outline: 0px;white-space: normal;letter-spacing: 0.544px;font-family: -apple-system, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;background-color: rgb(255, 255, 255);\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;font-family: PingFangSC-light;text-align: right;font-size: 13px;\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;outline: 0px;letter-spacing: 0.544px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;text-align: center;line-height: 1.75em;\">\n<section style=\"outline: 0px;display: inline-block;vertical-align: middle;\">\n<section style=\"margin-bottom: -2px;outline: 0px;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;clear: both;line-height: 0;\">\n<section style=\"outline: 0px;line-height: 0;width: 0px;\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align:top;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;outline: 0px;border-left: 3px solid rgb(33, 166, 210);border-right: 3px solid rgb(33, 166, 210);border-top-color: rgb(33, 166, 210);border-bottom-color: rgb(33, 166, 210);font-size: 16px;color: rgb(0, 0, 0);line-height: 1.4;\">\n<p style=\"outline: 0px;\"><strong style=\"outline: 0px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;\">\u4e09\u3001\u8fd0\u52a8\u6a21\u5f0f\uff1a<\/strong><\/strong><\/p>\n<p style=\"outline: 0px;\"><strong style=\"outline: 0px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;\">\u7ed3\u7fa4\u3001\u540c\u6b65\u5316\u4e0e\u73ed\u56fe\u5f62\u6210<\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-size: 16px;white-space: normal;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8bfa\u7279\u5b9a\u7406\u8868\u660e\uff0c\u6bcf\u4e00\u79cd\u8fde\u7eed\u5bf9\u79f0\u6027\u90fd\u4ee3\u8868\u4e00\u79cd\u5b88\u6052\u91cf\uff0c\u76f8\u5e94\u7684\u7834\u7f3a\u5219\u8ba9\u5176\u4e0d\u518d\u5b88\u6052\u3002\u5bf9\u65b9\u7a0b\uff081\uff09\u800c\u8a00\uff0c\u7531\u4e8e\u5e8f\u53c2\u91cf\u77e2\u91cf v<sub>a<\/sub>(t,x) \u5305\u542b\u4e86\u65b9\u5411\u548c\u5927\u5c0f\uff0c\u56e0\u6b64\u53ef\u4ee5\u4ee3\u8868\u4e3b\u4f53\u4e4b\u95f4\u65b9\u5411\u548c\u4f4d\u79fb\u53ef\u80fd\u540c\u65f6\u6539\u53d8\u7684<strong>\u65cb\u8f6c\u8fd0\u52a8<\/strong>\u3001\u6ca1\u6709\u4f4d\u79fb\u5728\u65f6\u95f4\u5185\u7684<strong>\u5468\u671f\u8fd0\u52a8<\/strong>\u4ee5\u53ca\u7eaf\u7cb9\u5728\u7a7a\u95f4\u4e2d\u7684<strong>\u5e73\u79fb\u8fd0\u52a8<\/strong>\u3002<\/span><br  \/><\/section>\n<section style=\"white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<ul class=\"list-paddingleft-2\" style=\"list-style-type: disc;\">\n<li>\n<section style=\"margin-bottom: 10px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u65cb\u8f6c\u5f62\u6210\u901a\u8fc7\u4e92\u76f8\u7ed5\u5708\u63a5\u8fd1\u7684<strong>\u7ed3\u7fa4<\/strong><span style=\"color: rgb(136, 136, 136);\">\uff08flocking\uff09<\/span>\uff0c\u5b83\u6e90\u81ea\u7a7a\u95f4\u5404\u5411\u540c\u6027<span style=\"color: rgb(136, 136, 136);\">\uff08isotropy\uff0c\u65e0\u6cd5\u533a\u5206\u7edd\u5bf9\u65b9\u5411\u3001\u65e0\u65b9\u5411\u7279\u6b8a\u7684\uff09<\/span>\u800c\u4fdd\u6301\u7684\u65cb\u8f6c\u4e0d\u53d8\u6027\uff0c\u5bf9\u5e94\u89d2\u52a8\u91cf\u5b88\u6052\u5b9a\u5f8b\u3002<\/span><\/section>\n<\/li>\n<li>\n<section style=\"margin-bottom: 10px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u5468\u671f\u8fd0\u52a8\u5bfc\u81f4\u4e3b\u4f53\u4e4b\u95f4\u7684<strong>\u540c\u6b65\u5316<\/strong><span style=\"color: rgb(136, 136, 136);\">\uff08synchronization\uff09<\/span>\uff0c\u5b83\u6e90\u81ea\u65f6\u95f4\u5e73\u79fb\u4e0d\u53d8\u6027<span style=\"color: rgb(136, 136, 136);\">\uff08\u5373\u7269\u7406\u5b9a\u5f8b\u9002\u7528\u4e8e\u6240\u6709\u65f6\u95f4\uff09<\/span>\uff0c\u5bf9\u5e94\u80fd\u91cf\u5b88\u6052\u5b9a\u5f8b\u3002<\/span><\/section>\n<\/li>\n<li>\n<section style=\"line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u5e73\u79fb\u8fd0\u52a8\u5219\u5bfc\u81f4<strong>\u6591\u56fe\u5f62\u6210<\/strong><span style=\"color: rgb(136, 136, 136);\">\uff08pattern formation\uff09<\/span>\uff0c\u5b83\u6e90\u81ea\u7a7a\u95f4\u5e73\u79fb\u4e0d\u53d8\u6027<span style=\"color: rgb(136, 136, 136);\">\uff08\u7a7a\u95f4\u5747\u5300\u6027\uff09<\/span>\uff0c\u5bf9\u5e94\u52a8\u91cf\u5b88\u6052\u5b9a\u5f8b\u3002<\/span><\/section>\n<\/li>\n<\/ul>\n<section style=\"margin-bottom: 10px;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u4ee5\u4e0a\u4e09\u79cd\u6a21\u5f0f\uff0c\u4e0e\u5fae\u89c2\u7c92\u5b50\u7c7b\u4f3c\uff0c\u90fd\u4f1a\u5728\u8de8\u8d8a\u5947\u5f02\u70b9\u540e\u6253\u7834\u5b87\u79f0\uff0c\u5f62\u6210\u4e00\u79cd<strong>\u81ea\u53d1\u5bf9\u79f0\u6027\u7834\u7f3a\u7684\u624b\u5f81\u76f8<\/strong>\u3002\u5982\u56fe6\u6240\u793a\uff1a<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/section>\n<section style=\"white-space: normal;text-align: center;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-ratio=\"1.4380453752181501\"  data-type=\"png\" data-w=\"1146\" height=\"762px\" width=\"530px\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-d9518b94ede0f1d58974b563412f8caa.png\"  \/><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(136, 136, 136);font-size: 14px;\">\u56fe6\uff1a\u975e\u4e92\u6613\u4f5c\u7528\u5947\u5f02\u70b9\u76f8\u53d8\u7684\u673a\u5236\u548c\u4f8b\u5b50\uff0c\u5e8f\u53c2\u91cf\u8026\u5408\u53c2\u6570 J<sub>AB<\/sub>\u2260J<sub>BA<\/sub> \uff0c\u5bfc\u81f4\u4e86\u4ece\u9759\u6001\u76f4\u5217\u5230\u81ea\u53d1\u6253\u7834\u5b87\u79f0\u624b\u5f81\u8fd0\u52a8\u7684\u76f8\u53d8\u3002<\/span><span style=\"color: rgb(136, 136, 136);font-size: 14px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\">(a,b\uff09\u975e\u4e92\u6613\u540c\u6b65\u3002\u88ab\u7f16\u7a0b\u4e3a\u975e\u4e92\u6613\u81ea\u65cb\u7684\u673a\u5668\u4eba\uff0c\u81ea\u53d1\u5730\u987a\u65f6\u6216\u9006\u65f6\u9488\u65cb\u8f6c\u3002<\/span><span style=\"color: rgb(136, 136, 136);font-size: 14px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\">(c,d\uff09\u975e\u4e92\u6613\u7ed3\u7fa4\u3002\u5c3d\u7ba1\u6ca1\u6709\u5916\u90e8\u626d\u77e9\uff0c\u81ea\u63a8\u8fdb\u7c92\u5b50\u4ecd\u7ed5\u5708\u8fd0\u884c\u3002<\/span><span style=\"color: rgb(136, 136, 136);font-size: 14px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\">(e,f\uff09\u975e\u4e92\u6613\u6591\u56fe\u5f62\u6210\u3002\u5728\u6cb9-\u6c14\u754c\u9762\u4e0a\u89c2\u5bdf\u9ecf\u6027\u6307\u8fdb<\/span><span style=\"color: rgb(136, 136, 136);font-size: 14px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\">\uff08viscous fingering\uff09<\/span><span style=\"color: rgb(136, 136, 136);font-size: 14px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\">[15] \u5b9e\u9a8c\u7684\u4e00\u7ef4\u6591\u56fe\u79fb\u52a8\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(136, 136, 136);font-size: 14px;\">&nbsp;<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><iframe class=\"video_iframe rich_pages\" data-vidtype=\"2\" data-mpvid=\"wxv_2239862472079884298\" data-cover=\"http%3A%2F%2Fmmbiz.qpic.cn%2Fmmbiz_jpg%2FwibWV1DB7tWLYHuP9ibeHOPvqp796DkLXlKe3XY1A91HcZyGRkrvWEkoskEZNklmsguqNRGNLGXZnnhCncYFhBDQ%2F0%3Fwx_fmt%3Djpeg\" allowfullscreen=\"\" frameborder=\"0\" data-ratio=\"2.6666666666666665\" data-w=\"1200\"  src=\"https:\/\/mp.weixin.qq.com\/mp\/readtemplate?t=pages\/video_player_tmpl&amp;action=mpvideo&amp;auto=0&amp;vid=wxv_2239862472079884298\" width=\"100%\" height=\"450\"><\/iframe><\/section>\n<section style=\"white-space: normal;text-align: center;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">\u89c6\u98911\uff1a\u975e\u4e92\u6613\u7ed3\u7fa4\u7684\u5206\u5b50\u52a8\u529b\u5b66\u6a21\u62df\u3002\u5e95\u90e8\u662f\u81ea\u63a8\u8fdb\u7c92\u5b50\u5404\u4e2a\u65b9\u5411\u5e73\u5747\u7684\u77ac\u65f6\u5e8f\u53c2\u91cf\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<h2 data-foldable-wrapper=\"\" style=\"white-space: normal;\"><\/h2>\n<h3 style=\"outline: 0px;white-space: normal;letter-spacing: 0.544px;font-family: -apple-system, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;background-color: rgb(255, 255, 255);\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;font-family: PingFangSC-light;text-align: right;font-size: 13px;\">\n<section style=\"margin: 10px 8px;outline: 0px;letter-spacing: 0.544px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;text-align: center;line-height: 1.75em;\">\n<section style=\"outline: 0px;display: inline-block;vertical-align: middle;\">\n<section style=\"margin-bottom: -2px;outline: 0px;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;clear: both;line-height: 0;\">\n<section style=\"outline: 0px;line-height: 0;width: 0px;\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align:top;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;outline: 0px;border-left: 3px solid rgb(33, 166, 210);border-right: 3px solid rgb(33, 166, 210);border-top-color: rgb(33, 166, 210);border-bottom-color: rgb(33, 166, 210);font-size: 16px;color: rgb(0, 0, 0);line-height: 1.4;\">\n<p style=\"outline: 0px;\"><strong style=\"outline: 0px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;\">\u56db\u3001\u975e\u4e92\u6613\u76f8\u53d8\uff1a<\/strong><\/strong><\/p>\n<p style=\"outline: 0px;\"><strong style=\"outline: 0px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;\">\u624b\u5f81\u76f8\u3001\u4ea4\u6362\u76f8\u4e0e\u6df7\u5408\u76f8<\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<section style=\"outline: 0px;font-size: 16px;white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;font-size: 15px;color: rgb(33, 166, 210);\">1. \u81ea\u53d1\u5bf9\u79f0\u6027\u7834\u7f3a\u4e0e\u5b8f\u89c2\u624b\u5f81\u76f8<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8fd9\u4e9b\u5b8f\u89c2\u975e\u4e92\u6613\u4f5c\u7528\u4e0b\u5b87\u79f0\u81ea\u53d1\u7834\u7f3a\u7684\u624b\u5f81\u76f8\u662f\u5982\u4f55\u5f62\u6210\u7684\uff1f<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u81ea\u53d1\u5bf9\u79f0\u6027\u7834\u7f3a<\/span><\/strong><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08spontaneous symmetry breaking\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u548c\u663e\u6027\u5bf9\u79f0\u6027\u7834\u7f3a<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08explicitly\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u4e0d\u540c\uff0c\u5b83\u7684\u8fd0\u52a8\u65b9\u7a0b\u548c\u57fa\u6001\u4fdd\u6301\u4e0d\u53d8\uff0c\u662f\u7cfb\u7edf\u5728\u65f6\u7a7a\u80cc\u666f<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u771f\u7a7a\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5b9e\u9645\u8fd0\u884c\u65f6\u7531\u4e8e\u5b58\u5728\u591a\u4e2a\u6700\u4f4e\u80fd\u91cf\u6001<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u65b9\u7a0b\u7684\u89e3\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u800c\u6253\u7834\u4e86\u4e0d\u53d8\u6027\u53d1\u751f\u76f8\u53d8\u3002\u81ea\u53d1\u5bf9\u79f0\u6027\u7834\u7f3a\u6700\u521d\u6765\u81ea\u56fa\u4f53\u7269\u7406\u4e2d\u7684\u8d85\u5bfc\u7535\u6027\uff0c\u540e\u88ab\u7c92\u5b50\u7269\u7406\u7528\u6765\u89e3\u91ca\u89c4\u8303\u73bb\u8272\u5b50\u5982\u4f55\u83b7\u5f97\u8d28\u91cf\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u6839\u636e\u6768-\u7c73\u5c14\u65af\u7406\u8bba<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08Yang\u2013Mills theory\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u6ee1\u8db3\u5c40\u57df\u89c4\u8303\u4e0d\u53d8\u6027<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08Gauge invariance\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">[39]\u7684W\u73bb\u8272\u5b50\u3001Z\u73bb\u8272\u5b50\u5e94\u5f53\u4e0e\u5149\u5b50\u3001\u80f6\u5b50\u4e00\u6837\u8d28\u91cf\u4e3a\u96f6\uff0c\u4f46\u5b9e\u9645\u6d4b\u91cf\u5374\u5e76\u975e\u5982\u6b64\u3002\u4e3a\u6b64\u7269\u7406\u5b66\u5bb6\u63d0\u51fa\u8457\u540d\u7684<strong>\u5e0c\u683c\u65af\u673a\u5236<\/strong><\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08Higgs mechanism\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff1a\u5b58\u5728\u4e00\u79cd\u5f25\u6f2b\u5168\u7a7a\u95f4\u7684\u91cf\u5b50\u573a\u5373\u5e0c\u683c\u65af\u573a\uff0c\u5728\u5f31\u76f8\u4e92\u4f5c\u7528\u4e0b\u4f1a\u4e0e\u89c4\u8303\u573a\u4f5c\u7528\uff0c\u5bfc\u81f4\u81ea\u53d1\u5bf9\u79f0\u6027\u7834\u7f3a\uff0c\u4f7f\u89c4\u8303\u4ecb\u5b50\u4ea7\u751f\u4e00\u79cd\u7eb5\u5411\u4f4e\u80fd\u6001\u7684\u81ea\u7531\u5ea6\uff0c\u5e76\u4f7f\u5f97 W-\u3001W+\u548cZ\u4e09\u79cd\u73bb\u8272\u5b50\u83b7\u5f97\u8d28\u91cf\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8fd9\u4e2a\u8fc7\u7a0b\u88ab\u79f0\u4e3a <strong>Goldstone \u6a21\u5f0f<\/strong><\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08Goldstone mode\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u5b83\u7684\u52bf\u51fd\u6570\u88ab\u5f62\u8c61\u5730\u8868\u793a\u4e3a\u4e00\u4e2a\u300c\u8349\u5e3d\u56fe\u300d\uff1a<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;text-align: center;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-ratio=\"0.7124183006535948\"  data-type=\"png\" data-w=\"612\" height=\"auto\" width=\"612\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-46523573010995a496637d18f1d293ab.png\"  \/><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">\u56fe7\uff1aGoldstone \u6a21\u5f0f\u7684\u81ea\u53d1\u5bf9\u79f0\u6027\u7834\u7f3a[41]\u3002\u539f\u672c\u5904\u5728\u9614\u8fb9\u8349\u5e3d\u5706\u9876\u3001\u4fdd\u6301\u5bf9\u79f0\u6027\u7684\u7403\uff0c\u4f1a\u4e0d\u65ad\u5730\u88ab\u566a\u58f0\u8e22\u5411\u5e95\u90e8\u4e00\u79cd\u7eb5\u5411\u81ea\u7531\u5ea6\u7684\u4f4e\u80fd\u6fc0\u53d1\u6001\uff0c\u4ece\u800c\u6253\u7834\u539f\u6709\u7684\u6574\u4f53\u5bf9\u79f0\u6027\u3002\u4e0d\u8fc7\u5728\u975e\u4e92\u6613\u7cfb\u7edf\u4e2d\uff0c\u81ea\u53d1\u5bf9\u79f0\u6027\u7834\u7f3a\u8fc7\u7a0b\u8fd8\u53d7\u5230\u6a2a\u5411\u7ea2\u8272\u65b9\u5411\u505a\u529f\u4e0e\u8def\u5f84\u6709\u5173\u7684\u975e\u4fdd\u5b88\u529b\u4f5c\u7528\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5728\u7406\u89e3\u4e86\u81ea\u53d1\u5bf9\u79f0\u6027\u7834\u7f3a\u548c Goldstone \u6a21\u5f0f\u540e\uff0c\u8ba9\u6211\u4eec\u8003\u8651\u4e24\u4e2a\u5b87\u79f0\u672a\u663e\u6027\u7834\u7f3a\u7684\u4e3b\u4f53 A \u548c B\u3002\u5bf9\u8026\u5408\u53c2\u6570J<sub>AB<\/sub> \u548c J<sub>BA<\/sub>\uff0c\u4ee4\uff1a<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/section>\n<section style=\"white-space: normal;text-align: center;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-ratio=\"0.26053639846743293\"  data-type=\"png\" data-w=\"522\" height=\"71px\" style=\"width: 205px;height: 53px;\" width=\"272px\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-3b4e3852917ce221a79b888668020ee1.png\"  \/><\/section>\n<section style=\"white-space: normal;text-align: center;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5219J+\u548cJ-\u5206\u522b\u4ee3\u8868\u523b\u753b\u975e\u4e92\u6613\u6027\u4f5c\u7528\u7a0b\u5ea6\u7684\u4e24\u4e2a\u5206\u91cf\u3002\u5bf9\u4e92\u6613\u4f5c\u7528<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08J+=0\u6216J-=0\u65f6\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u5e8f\u53c2\u91cf v<sub>A<\/sub> \u548c v<sub>B<\/sub> \u4f1a\u5904\u5728\u540c\u5411\u6216\u53cd\u5411\u7684\u4e24\u4e2a\u9759\u6001\u9636\u6bb5<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u56fe8g\u4e0a\u5de6\u53f3\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u3002\u4f46\u5f53\u975e\u4e92\u6613\u4f5c\u7528\uff08J<sub>AB<\/sub>\u2260J<sub>BA<\/sub>\uff09\u4e14\u4f7fJ+\u4e0d\u65ad\u589e\u5927\u65f6\uff0cv<sub>A<\/sub> \u548c v<sub>B<\/sub> \u5c31\u4f1a\u5448\u4e00\u4e2a\u56fa\u5b9a\u5939\u89d2\u7684\u6052\u5b9a\u89d2\u901f\u5ea6 \u03a9<sub>SS<\/sub> \u987a\u6216\u9006\u65f6\u9488\u65cb\u8f6c\u3002\u5373\u5728\u4e24\u4e2a \u03a9<sub>ss<\/sub>=0 \u7684\u9759\u6001\u76f8\u4e4b\u95f4\uff0c\u6d8c\u73b0\u51fa\u4e86\u4e00\u79cd\u7c7b\u4f3c\u94c1\u78c1\u53d8\u5316\u7684\u65f6\u95f4\u4f9d\u8d56\u6027\u7684\u975e\u5e73\u8861<strong>\u624b\u5f81\u76f8<\/strong>\uff0c\u5982\u56fe8g\u4e0a\u7ea2\u84dd\u7bad\u5934\u6240\u793a\uff1a<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;text-align: center;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-ratio=\"1.1545319465081723\"  data-type=\"png\" data-w=\"1346\" height=\"568px\" width=\"492px\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-7c8ba74e90536c7703de4c89f8a71f43.png\"  \/><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">\u56fe8\uff1a\u975e\u4e92\u6613\u76f8\u53d8\u4e0b\uff0c\u5947\u5f02\u70b9\uff08\u7ea2\u70b9\uff09\u5206\u5c94\u7684\u624b\u5f81\u76f8\u81ea\u53d1\u5bf9\u79f0\u6027\u7834\u7f3a\u4e0e\u4e24\u79cd\u4f5c\u7528\u6a21\u5f0f\u3002\u8fd9\u79cd\u975e\u4e92\u6613\u300c\u76f4\u5217-\u624b\u5f81\u300d\u76f8\u53d8\u8fc7\u7a0b\uff0c\u540c\u6837\u88ab\u770b\u4f5c\u662fPT\u81ea\u53d1\u5bf9\u79f0\u6027\u7834\u574f\u7684\u8868\u73b0\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-bottom: 10px;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5982\u56fe 8h \u6240\u793a\uff0c\u624b\u5f81\u76f8\u662f\u7531\u963b\u5c3c\u6a21\u5f0f<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08damped mode\uff0c\u6a2a\u5411\u975e\u4fdd\u5b88\u529b\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u548c Goldstone \u6a21\u5f0f\u8fd9\u4e24\u79cd\u8fc7\u7a0b\u5728\u67d0\u4e2a\u5947\u5f02\u70b9\u51dd\u805a\u53d1\u751f\u7684<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u7eb5\u8f74\u4e3a\u5e8f\u53c2\u91cf\u589e\u957f\u7387 \u03c3\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff1a<\/span><\/section>\n<ul class=\"list-paddingleft-2\" style=\"list-style-type: disc;\">\n<li style=\"font-size: 15px;\">\n<p style=\"margin-bottom: 10px;line-height: 1.75em;margin-left: 8px;margin-right: 8px;\"><span style=\"font-size: 15px;\">\u5728\u963b\u5c3c\u6a21\u5f0f<span style=\"color: rgb(136, 136, 136);\">\uff08\u6a59\u8272\uff09<\/span>\uff0c\u03c3 &lt; 0\uff0c\u4e3b\u4f53\u56e0\u6469\u64e6\u7b49\u4ecb\u8d28\u963b\u529b\u8fc7\u5927\u800c\u9759\u6b62\uff0c\u4f46\u963b\u529b\u968f\u7740 J+ \u589e\u5927\u800c\u51cf\u5c0f\uff1b<\/span><\/p>\n<\/li>\n<li style=\"font-size: 15px;\">\n<p style=\"margin-bottom: 10px;line-height: 1.75em;margin-left: 8px;margin-right: 8px;\"><span style=\"font-size: 15px;\">\u5728 Goldstone \u6a21\u5f0f<span style=\"color: rgb(136, 136, 136);\">\uff08\u7eff\u8272\uff09<\/span>\uff0c\u7cfb\u7edf\u503e\u5411\u81ea\u53d1\u5bf9\u79f0\u6027\u7834\u7f3a\u7684\u4f4e\u80fd\u7a33\u5b9a\u6fc0\u53d1\u6001\uff0c\u5e76\u8bd5\u56fe\u6062\u590d\u5176\u5df2\u7834\u7f3a\u7684\u5bf9\u79f0\u6027\u3002\u4f46\u5f53\u963b\u5c3c\u6a21\u5f0f\u963b\u529b\u8fc7\u5927\uff0c \u03c3=0\uff08<span style=\"color: rgb(136, 136, 136);\">\u7403\u503e\u5411\u4e8e\u3001\u4f46\u4e0d\u4f1a\u6389\u4e0b\u53bb\uff09<\/span>\uff1b<\/span><\/p>\n<\/li>\n<li style=\"font-size: 15px;\">\n<p style=\"line-height: 1.75em;margin-left: 8px;margin-right: 8px;\"><span style=\"font-size: 15px;\">\u968f\u7740J+\u589e\u52a0\uff0c\u963b\u5c3c\u51cf\u5c11\uff0c\u5f53 \u03c3 \u8d8b\u4e8e\u96f6\u65f6\u4e24\u79cd\u6a21\u5f0f\u51dd\u805a\u6210\u5947\u5f02\u70b9\uff0c\u6b64\u540e Goldstone \u6a21\u5f0f\u4e3b\u5bfc\uff0c\u7cfb\u7edf\u56e0\u566a\u58f0\u81ea\u53d1\u5bf9\u79f0\u6027\u7834\u7f3a\u800c\u8fdb\u5165\u624b\u5f81\u9636\u6bb5<span style=\"color: rgb(136, 136, 136);\">\uff08\u7d2b\u8272\uff09<\/span>\u3002\u4e14 \u03c3 \u5728\u6700\u540e\u4e00\u4e2a\u5947\u5f02\u70b9\u540e\u91cd\u65b0\u4e3a0\u3002<\/span><\/p>\n<\/li>\n<\/ul>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u624b\u5f81\u76f8\u662f\u7531\u76ee\u6807\u76f8\u53cd\u7684\u4e3b\u4f53\u8fd0\u52a8\u76f8\u632b\u5f15\u8d77\u7684<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff1a\u4e3b\u4f53 A \u60f3\u4e0e\u4e3b\u4f53 B \u5bf9\u9f50\uff0c\u4f46\u53cd\u4e4b\u4e0d\u7136\uff0c\u8fd9\u5c31\u5bfc\u81f4\u4e86\u4e92\u76f8\u8ffd\u9003\u7684\u5e8f\u53c2\u91cf v<sub>A<\/sub> \u548c v<sub>B<\/sub>\u3002\u7528\u7f16\u7a0b\u7684\u7ea2\u84dd\u673a\u5668\u4eba\u4f8b\u5b50\u6765\u8bf4\uff0c\u9664\u975e\u6b63\u597d J<sub>AB<\/sub> = -J<sub>BA<\/sub>\uff0c\u5f7c\u6b64\u6700\u7ec8\u624d\u4f1a\u8ffd\u4e0a\u5bf9\u65b9\u5bf9\u9f50\u3002\u4f46\u7531\u4e8e\u81ea\u7136\u8fd0\u52a8\u4e2d\u5b58\u5728\u4e0d\u53ef\u907f\u514d\u7684\u9891\u7387\u7d0a\u4e71\u6216\u566a\u58f0<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u7c7b\u4f3c\u4e8e\u771f\u7a7a\u4f5c\u7528\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u53c8\u4f1a\u4e0d\u65ad\u91cd\u7f6e\u6fc0\u6d3b\u8bb8\u591aA\/B\u5bf9\u7684\u8fd0\u52a8\uff0c\u4f7f\u5f97\u5f7c\u6b64\u4ea4\u4e92\u4e0b\u7684\u624b\u5f81\u76f8\u53d8\u5f97\u4e0e\u5b8f\u89c2\u73b0\u8c61\u76f8\u5173\u3002\u5373<strong>\u7cfb\u7edf\u6700\u7ec8\u7a33\u6001\u624b\u5f81\u76f8\u53d6\u51b3\u4e8e\u8fd0\u52a8\u566a\u58f0\u548c\u591a\u4f53\u6548\u5e94\u4e4b\u95f4\u7684\u5fae\u5999\u76f8\u4e92\u4f5c\u7528<\/strong>\u3002\u4f5c\u8005\u7ecf\u8fc7\u5b9e\u9a8c\u9a8c\u8bc1\uff0c\u968f\u7740\u4e3b\u4f53\u6570\u589e\u5927\uff0c\u5e8f\u53c2\u91cf\u6807\u51c6\u5dee\u964d\u4f4e\uff0c\u5373\u624b\u5f81\u76f8\u4f1a\u53d8\u5f97\u66f4\u7a33\u5b9a\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u624b\u5f81\u76f8\u53ef\u4ee5\u770b\u4f5c\u662f\u4e00\u79cd<strong>\u8fde\u7eed\u5bf9\u79f0\u6027\u81ea\u53d1\u7834\u7f3a\u7684\u52a8\u6001\u6062\u590d<\/strong>\uff1aGoldstone \u6a21\u5f0f\u88ab\u566a\u58f0\u6240\u9a71\u52a8\uff0c\u5728\u76f8\u53d8\u540e\uff0c\u7cfb\u7edf\u5219\u6cbf\u7740\u9000\u5316\u57fa\u6001\u7684\u6d41\u5f62\u8fd0\u884c\u3002\u9664\u4e86\u56fe 4a\u2013f \u4f8b\u5b50\u5916\uff0c\u624b\u5f81\u76f8\u8fd8\u53d1\u751f\u5728\u6db2\u6676\u51dd\u56fa[29]\u3001\u5c42\u72b6\u5171\u6676\u751f\u957f[30]\u3001\u6ea2\u6d41\u55b7\u6cc9[31]\u7b49\u81ea\u7136\u73b0\u8c61\u4e2d\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(33, 166, 210);\"><strong><span style=\"font-size: 15px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\">2. \u65f6\u95f4\u6676\u4f53\u3001\u4ea4\u6362\u76f8\u4e0e\u6df7\u5408\u76f8<\/span><\/strong><\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u9664\u624b\u5f81\u76f8\u5916\uff0c\u8bba\u6587\u4f5c\u8005\u8fd8\u53d1\u73b0\u4e86\u4e00\u79cd\u300c<strong>\u4ea4\u6362\u76f8<\/strong>\u300d<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08swap phase\uff0c\u56fe9b\u3001c\u7eff\u8272\u533a\u57df\u30019e\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff1av<sub>A<\/sub> \u548c v<sub>B<\/sub> \u6cbf\u4e00\u4e2a\u56fa\u5b9a\u65b9\u5411\u5468\u671f\u632f\u8361\uff1b\u4ee5\u53ca\u4e00\u79cd\u300c<strong>\u624b\u5f81-\u4ea4\u6362\u6df7\u5408\u76f8<\/strong>\u300d<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08mixed chiral+swap phase\uff0c\u56fe9b\u3001c\u6df1\u7eff\u533a\u57df\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u5176\u4e2d\u4ea4\u6362\u548c\u624b\u5f81\u8fd0\u52a8\u540c\u65f6\u53d1\u751f\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-ratio=\"0.5880208333333333\"  data-type=\"png\" data-w=\"1920\" height=\"auto\" width=\"2234\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-b0dbeb0d640a80a7522c9f70a8bdb5ef.png\"  \/><\/section>\n<section style=\"white-space: normal;text-align: center;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">\u56fe9\uff1a\u4e0d\u540c\u8026\u5408\u53c2\u6570J+\u548cJ-\u4e0b\uff0c\u975e\u4e92\u6613\u7ed3\u7fa4\u7684\u624b\u5f81\u3001\u4ea4\u6362\u3001\u6df7\u5408\u76f8\u5206\u5e03<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u4ea4\u6362\u76f8\u901a\u8fc7\u4e27\u5931\u65f6\u95f4\u5e73\u79fb\u4e0d\u53d8\u6027\u800c\u4fdd\u6301\u4e86\u79bb\u6563\u5bf9\u79f0\u6027<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u8fd9\u548c\u6d3b\u6027<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u51c6\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u65f6\u95f4\u6676\u4f53<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08active time (quasi) crystal\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"> [32,33] \u7684\u7279\u6027\u975e\u5e38\u7c7b\u4f3c\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u6676\u4f53\u662f\u6709\u5e8f\u7684\u7269\u8d28\u6001\uff0c\u5176\u5185\u90e8\u7684\u539f\u5b50\u6216\u5206\u5b50\u6309\u7167\u89c4\u5219\u7684\u7a7a\u95f4\u7ed3\u6784\u6392\u5217\u3002\u6676\u4f53\u5f62\u6210\u5c31\u662f\u7a7a\u95f4\u5e73\u79fb\u7684\u81ea\u53d1\u5bf9\u79f0\u6027\u7834\u7f3a\uff1a\u4f8b\u5982\u5728\u6c34\u51dd\u7ed3\u6210\u51b0\u7684\u8fc7\u7a0b\u4e2d\uff0c\u51b0\u5757\u6574\u4f53\u4fdd\u6301\u7a7a\u95f4\u5e73\u79fb\u4e0d\u53d8\u6027\uff0c\u4f46\u5206\u5b50\u5374\u79fb\u5411\u4f4e\u80fd\u6001\u5f62\u6210\u4e86\u4ee5d\u4e3a\u8ddd\u79bb\u5355\u4f4d\u7684\u79bb\u6563\u4e0d\u53d8\u6027\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u65f6\u95f4\u6676\u4f53\u5219\u662f\u4e00\u79cd\u65b0\u7684\u975e\u5e73\u8861\u6001\u7269\u6001\uff0c\u5b83\u662f\u4e8b\u4ef6\u5728\u65f6\u7a7a\u4e2d\u7684\u6709\u5e8f\u6392\u5217\uff0c\u72b6\u6001\u4f1a\u968f\u7740\u65f6\u95f4\u81ea\u53d1\u5468\u671f\u91cd\u590d\u3002\u8fde\u7eed\u72b6\u6001\u91cd\u590d\u610f\u5473\u7740\u6253\u7834\u4e86\u8fde\u7eed\u65f6\u95f4\u5e73\u79fb\u4e0d\u53d8\u6027\uff0c\u4f46\u7531\u8bfa\u7279\u5b9a\u7406\u53ef\u77e5\u80fd\u91cf\u5c06\u4e0d\u518d\u5b88\u6052\uff0c\u800c\u8fd9\u662f\u4e0d\u53ef\u80fd\u7684\u3002\u4f46\u5b83\u4f9d\u7136\u53ef\u4ee5\u901a\u8fc7\u7c7b\u4f3c Goldstone \u6a21\u5f0f\uff0c\u51cf\u5c11\u8fde\u7eed\u5bf9\u79f0\u6027\u5b9e\u73b0\u79bb\u6563<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u51c6\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u65f6\u95f4\u6676\u4f53\uff1a\u5c31\u50cf\u7a7a\u95f4\u6676\u4f53\u9075\u5faa\u52a8\u91cf\u5b88\u6052\uff0c\u5185\u90e8\u81ea\u53d1\u5bf9\u79f0\u6027\u7834\u7f3a\u6210\u4e86\u4ee5 d \u4e3a\u8ddd\u79bb\u5355\u4f4d\u7684\u79bb\u6563\u7a7a\u95f4\u4e0d\u53d8\u6027\u4e00\u6837\uff0c\u65f6\u95f4\u6676\u4f53\u901a\u8fc7\u7ea6\u745f\u592b\u68ee\u6548\u5e94<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08Josephson effect\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">[34]\uff0c\u5728\u4fdd\u8bc1\u80fd\u91cf\u5b88\u6052\u4e0b\uff0c\u7531\u5b8c\u6574\u65f6\u95f4\u5e73\u79fb\u5bf9\u79f0\u53d8\u6210\u5468\u671f\u4e3a 2eV\/h \u7684\u6574\u6570\u500d\u7684\u5bf9\u79f0\uff0c\u4f7f\u5185\u90e8\u6709\u9650\u72b6\u6001\u4e0d\u65ad\u81ea\u53d1\u5468\u671f\u6027\u91cd\u590d\u3002\u2014\u2014\u8fd9\u79cd\u4e27\u5931\u8fde\u7eed\u65f6\u95f4\u4e0d\u53d8\u6027\uff0c\u53d8\u6210\u79bb\u6563\u5bf9\u79f0\u6027\u7684\u5b8f\u89c2\u7269\u6001\u76f8\u5373\u6240\u8c13\u7684\u4ea4\u6362\u76f8\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-backh=\"244\" data-backw=\"578\" data-ratio=\"0.42239583333333336\"  data-type=\"png\" data-w=\"1920\" height=\"auto\" style=\"width: 100%;height: auto;\" width=\"2352\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-f424f0d61454b4c7a805d621798116c8.png\"  \/><\/section>\n<section style=\"white-space: normal;text-align: center;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">\u56fe10\uff1a\u6d3b\u6027\u51c6\u65f6\u95f4\u6676\u4f53\u7684\u76f8\u53d8\uff0c\u901a\u8fc7\u4e27\u5931\u65f6\u95f4\u5e73\u79fb\u5bf9\u79f0\u6027\u6062\u590d\u79bb\u6563\u5bf9\u79f0\u6027\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u4e0e\u624b\u5f81\u76f8\u4e00\u6837\uff0c\u4ea4\u6362\u76f8\u548c\u6df7\u5408\u76f8\u8d85\u8d8a\u4e86\u7279\u5b9a\u5c3a\u5ea6\u548c\u9886\u57df\u6a21\u578b\uff0c\u5728\u975e\u4e92\u6613\u6027\u540c\u6b65\u548c\u6591\u56fe\u5f62\u6210\u4e2d\u4e5f\u80fd\u89c2\u5bdf\u5230\u5b83\u4eec\u3002\u4f8b\u5982\u56fe11d\u3001e\u4e2d\u663e\u793a\u4e86\u6da1\u6d41<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u53cd\u6da1\u6d41\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u4e2d\u7684\u5e8f\u53c2\u91cf v<sub>A<\/sub> \u548c v<sub>B<\/sub> \u5728\u56fa\u5b9a\u65b9\u5411\u89d2\u5ea6\u62d3\u6251\u7f3a\u53d8<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08topological defects\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u7684\u5feb\u7167\u3002\u7531\u4e8e v<sub>A<\/sub> \u548c v<sub>B<\/sub> \u4e0d\u540c\u7684\u81ea\u63a8\u8fdb\u901f\u5ea6\uff0c\u4f1a\u5bfc\u81f4\u6da1\u65cb\u5bf9\u4e0d\u65ad\u89e3\u5f00\u548c\u6e6e\u706d\u7684\u5bc6\u5ea6\u4e0d\u540c\uff0c\u4ece\u800c\u5f62\u6210\u8c03\u5236\u6001\u548c\u8c03\u5236\u884c\u8fdb<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08traveling modulated\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u6001\u6591\u56fe\uff1a<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;text-align: center;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-ratio=\"0.7781531531531531\"  data-type=\"png\" data-w=\"1776\" height=\"414px\" style=\"width: 470px;height: 366px;\" width=\"533px\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-f2acb8f0094cfa4e03a413c20b0b5284.png\"  \/><\/section>\n<section style=\"white-space: normal;text-align: center;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">\u56fe11\uff1a\u6da1\u6d41\u548c\u53cd\u6da1\u6d41\u5728\u4e0d\u540c\u5e8f\u53c2\u91cf\u4e0b\u62d3\u6251\u7f3a\u53d8<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u4ee5\u4e0a\u6d41\u4f53\u529b\u5b66\u8fc7\u7a0b\u4e0a\u5747\u53ef\u4ee5\u7528\u65b9\u7a0b\uff088\uff09\u6765\u6a21\u62df\uff1a<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/section>\n<section style=\"white-space: normal;text-align: center;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-ratio=\"0.10901749663526245\"  data-type=\"png\" data-w=\"1486\" height=\"auto\" style=\"width: 391px;height: 43px;\" width=\"1486\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-bc7236e51db8cdf4403246925cdfe759.png\"  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5176\u4e2d\u5947\u5f02\u77e9\u9635 L<sub>EP<\/sub> \u4ee3\u8868\u4e86\u5947\u5f02\u70b9\uff0cM(v<sub>ss<\/sub>\u22c5\u2207) \u548c D\u2207<sup>2<\/sup> \u5206\u522b\u6a21\u62df\u4e86\u6d41\u4f53\u7684\u5bf9\u6d41\u9879<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08Convective term\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u548c\u6269\u6563\u9879<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08Diffusive term\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u4e0b\u9762\u603b\u7ed3\u4e0b\u57fa\u4e8ePT\u5bf9\u79f0\u6027\u7834\u7f3a\u4e09\u79cd\u4e0d\u540c\u8fd0\u52a8\u6a21\u5f0f\u4e0b\u4e09\u79cd\u76f8\u53d8\u7684\u5173\u7cfb\uff1a<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<ul class=\"list-paddingleft-2\" style=\"list-style-type: disc;\">\n<li>\n<p><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u624b\u5f81\u3001\u4ea4\u6362\u3001\u6df7\u5408\u4e09\u79cd\u4e0d\u540c\u76f8\u5bf9\u6bd4\u89c1\u89c6\u9891\uff1a<\/span><\/p>\n<p><br  \/><\/p>\n<\/li>\n<\/ul>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><iframe class=\"video_iframe rich_pages\" data-vidtype=\"2\" data-mpvid=\"wxv_2241022692164419585\" data-cover=\"http%3A%2F%2Fmmbiz.qpic.cn%2Fmmbiz_jpg%2FwibWV1DB7tWIoHHUC2ABrxSibYTHCbQib6HAn5L4b7q64WbY58XX0ibsoPnWGlzT68HD4ODOSHtURsrQup9poIF1NQ%2F0%3Fwx_fmt%3Djpeg\" allowfullscreen=\"\" frameborder=\"0\" data-ratio=\"3\" data-w=\"1728\"  src=\"https:\/\/mp.weixin.qq.com\/mp\/readtemplate?t=pages\/video_player_tmpl&amp;action=mpvideo&amp;auto=0&amp;vid=wxv_2241022692164419585\" width=\"100%\" height=\"576\"><\/iframe><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<ul class=\"list-paddingleft-2\" style=\"list-style-type: disc;\">\n<li>\n<p><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u4e09\u79cd\u4e0d\u540c\u8fd0\u52a8\u6a21\u5f0f\u5728\u4e09\u79cd\u76f8\u53d8\u7684\u7279\u5f81\u548c\u4f8b\u5b50\uff0c\u89c1\u5bf9\u6bd4\u8868\u683c\uff1a<\/span><\/p>\n<\/li>\n<\/ul>\n<section style=\"text-align: center;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"text-align: center;margin-left: 8px;margin-right: 8px;\"><img class=\"rich_pages wxw-img\" data-backh=\"270\" data-backw=\"562\" data-galleryid=\"\" data-ratio=\"0.48034188034188036\" data-s=\"300,640\"  data-type=\"png\" data-w=\"1170\" style=\"width: 100%;height: auto;\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-d4aad7eb74a0907e4d359c7e8a30d243.png\"  \/><\/section>\n<p style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.5em;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">*\u6ce8\u91ca\uff1a\u884c\u6ce2\u6001\uff08traveling wave state\uff09\/ \u884c\u8fdb\u6001\uff08traveling\uff09\/ \u5468\u671f\u540c\u6b65\uff08periodic synchronization\uff09\/<\/span><span style=\"color: rgb(136, 136, 136);font-size: 13px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\">\u8c03\u5236\u6001\uff08modulated\uff09\/ \u8c03\u5236\u884c\u8fdb\uff08traveling modulated\uff09\/ \u884c\u6ce2\u540c\u6b65\uff08PS+TW\uff09<\/span><\/p>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<h3 style=\"outline: 0px;white-space: normal;letter-spacing: 0.544px;font-family: -apple-system, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;background-color: rgb(255, 255, 255);\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;font-family: PingFangSC-light;text-align: right;font-size: 13px;\">\n<section style=\"margin: 10px 8px;outline: 0px;letter-spacing: 0.544px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;text-align: center;line-height: 1.75em;\">\n<section style=\"outline: 0px;display: inline-block;vertical-align: middle;\">\n<section style=\"margin-bottom: -2px;outline: 0px;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;clear: both;line-height: 0;\">\n<section style=\"outline: 0px;line-height: 0;width: 0px;\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align:top;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;outline: 0px;border-left: 3px solid rgb(33, 166, 210);border-right: 3px solid rgb(33, 166, 210);border-top-color: rgb(33, 166, 210);border-bottom-color: rgb(33, 166, 210);font-size: 16px;color: rgb(0, 0, 0);line-height: 1.4;\">\n<p style=\"outline: 0px;\"><strong style=\"outline: 0px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;\">\u4e94\u3001\u8bc6\u522b\u5e76\u5206\u6790\u975e\u4e92\u6613\u7cfb\u7edf\u5947\u5f02\u70b9<\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<section style=\"outline: 0px;font-size: 16px;white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u90a3\u4e48\u5982\u4f55\u8bc6\u522b\u4e00\u4e2a\u5177\u6709\u8fde\u7eed\u5bf9\u79f0\u6027\u7684\u5b8f\u89c2\u975e\u4e92\u6613\u7cfb\u7edf\u5462\uff1f\u56fe12\u901a\u8fc7\u56fe\u793a\u5c55\u793a\u4e86\u8fd9\u4e2a\u8fc7\u7a0b\u3002\u5173\u952e\u6210\u5206\u662f\uff1a\uff08i\uff09\u975e\u4e92\u6613\u6027\uff0c\u8868\u73b0\u4e3a\u4e0d\u5bf9\u79f0\u7684\u5b8f\u89c2\u8026\u5408\uff0c\u548c\uff08ii\uff09\u81ea\u53d1\u7684\u8fde\u7eed\u5bf9\u79f0\u6027\u7834\u7f3a<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u81ea\u53d1\u5bf9\u79f0\u6027\u7834\u7f3a\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"margin-right: 2px;margin-left: 2px;\"><br  \/><\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-ratio=\"0.9881796690307328\"  data-type=\"png\" data-w=\"1692\" height=\"auto\" width=\"1692\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-7e9a0abac0e156ff371e9aaaa6da03bb.png\"  \/><\/section>\n<p style=\"white-space: normal;text-align: center;margin-left: 8px;margin-right: 8px;line-height: 1.5em;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">\u56fe12\uff1a\u8bc6\u522b\u548c\u5206\u6790\u5947\u5f02\u70b9\u7684\u53ef\u89c6\u8fc7\u7a0b<\/span><\/p>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;line-height: 1.75em;margin-left: 8px;margin-right: 8px;\"><span style=\"font-size: 15px;\"><span style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\">\uff081\uff09\u9996\u5148\u786e\u5b9a\u4e00\u4e2a\u7cfb\u7edf\u662f\u5426\u662f\u975e\u4e92\u6613\u4f5c\u7528\u7684\u8fde\u7eed\u5bf9\u79f0\u6027\u7cfb\u7edf\u3002\u5199\u4e0b\u52a8\u529b\u7cfb\u7edf\u7684\u5e8f\u53c2\u91cf V\u3002\u7136\u540e\u627e\u5230\u4e00\u4e2a\u80fd\u591f\u81ea\u53d1\u5bf9\u79f0\u6027\u7834\u7f3a<\/span><span style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;color: rgb(136, 136, 136);\">\uff08\u7eff\u8272\u533a\u57df\uff09<\/span><span style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\">\u3001\u4e0e\u65f6\u95f4\u65e0\u5173\u7684\u7a33\u6001 V<\/span><sub style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\">ss<\/sub><span style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;color: rgb(136, 136, 136);\">\uff08\u57fa\u6001\uff09<\/span><span style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\">\uff0c\u5e76\u5bf9\u5176\u7ebf\u6027\u5316\u3002\u82e5\u5176\u96c5\u5404\u5e03\u77e9\u9635\u7ebf\u6027\u7b97\u5b50L(V) \u5728 Goldstone \u6a21\u5f0f\u6709\u4e00\u4e2a\u96f6\u7279\u5f81\u503c\uff0c\u6b64\u65f6\u7684\u5947\u5f02\u70b9<\/span><span style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;color: rgb(136, 136, 136);\">\uff08\u7ea2\u70b9\u53ca\u8fde\u7eed\u7ea2\u7ebf\uff09<\/span><span style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\">\u5373\u6807\u5fd7\u7740\u76f8\u53d8\u3002<\/span><\/span><\/section>\n<section style=\"white-space: normal;line-height: 1.75em;margin-left: 8px;margin-right: 8px;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;line-height: 1.75em;margin-left: 8px;margin-right: 8px;\"><span style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;font-size: 15px;\">\uff082\uff09\u5728\u8026\u5408\u53c2\u6570 j \u4e2d\u533a\u5206\u51fa\u663e\u6027\u6253\u7834PT\u7684 j*\uff0c\u5e76\u8ba1\u7b97\u523b\u753b\u975e\u4e92\u6613\u6027\u7684 j- \u548c j+\uff1a<\/span><\/section>\n<ul class=\"list-paddingleft-2\" style=\"list-style-type: disc;\">\n<li>\n<section style=\"margin: 10px 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u5f53 j* = 0 \u65f6<span style=\"color: rgb(136, 136, 136);\">\uff08\u56fe12\u5de6\uff09<\/span>\uff0c\u4eceL\u4e2d\u627e\u5230\u7f16\u7801\u7ef4\u4e3a1\u7684\u5947\u5f02\u70b9<span style=\"color: rgb(136, 136, 136);\">\uff08\u4e8c\u7ef4\u53c2\u6570\u7a7a\u95f4\uff09<\/span>\u3002\u5728\u76f8\u53d8\u5904 Goldstone \u6a21\u5f0f\u4e0e\u4e00\u4e2a\u963b\u5c3c\u6a21\u5f0f\u76f8\u649e\uff0c\u8fd9\u5bfc\u81f4\u4e86\u4ee5\u635f\u5931\u65f6\u95f4\u5e73\u79fb\u4e0d\u53d8\u6027\u4e3a\u4ee3\u4ef7\u7684\u5bf9\u79f0\u6027\u7684\u81ea\u53d1\u52a8\u6001\u6062\u590d\u3002\u5728\u7d2b\u8272\u7684\u624b\u5f81\u9636\u6bb5\uff0c\u5bf9\u5e94\u88ab\u6253\u7834\u7684\u5bf9\u79f0\u6027\u7684\u7b49\u6548\u7684\u4e24\u4e2a\u7a33\u6001\u7a7a\u95f4\uff0c\u4ee5\u4e00\u4e2a\u968f\u673a\u9009\u62e9\u7684\u65b9\u5411<span style=\"color: rgb(136, 136, 136);\">\uff08\u987a\u65f6\u6216\u9006\u65f6\u9488\uff09<\/span>\u884c\u8fdb\u3002<\/span><\/section>\n<\/li>\n<li>\n<section style=\"line-height: 1.75em;margin-left: 8px;margin-right: 8px;margin-top: 10px;\"><span style=\"font-size: 15px;\">\u5f53 j* \u2260 0 \u65f6<span style=\"color: rgb(136, 136, 136);\">\uff08\u4e0b\u53f3\u56fe\uff09<\/span>\uff0c\u5947\u5f02\u70b9\u7f16\u7801\u7ef4\u4e3a2<span style=\"color: rgb(136, 136, 136);\">\uff08\u4e09\u7ef4\u53c2\u6570\u7a7a\u95f4\uff09<\/span>\uff0c\u4ee5\u4e0a\u673a\u5236\u4f1a\u4e0e\u7531 j* \u8bbe\u5b9a\u5e8f\u53c2\u91cf\u7684\u660e\u786e\u65cb\u8f6c\u7ade\u4e89\uff0c\u5bfc\u81f4\u4ece\u4e8c\u7ef4\u5947\u5f02\u70b9\u5f00\u59cb\u6269\u5c55\u7684\u6d45\u7ea2\u8272\u533a\u57df\uff0c\u4e14\u5176\u4e2d<strong>\u987a\u9006\u65f6\u9488\u72b6\u6001\u5171\u5b58<\/strong>\uff0c\u5e76\u4ee5\u4e00\u9636\u76f8\u53d8\u548c\u6ede\u540e\u4e3a\u6807\u5fd7\uff1a\u5176\u590d\u9891\u57df\u5f62\u6210\u4e00\u4e2a\u4e86\u9ece\u66fc\u66f2\u9762<span style=\"color: rgb(136, 136, 136);\">\uff08\u56fe13\uff09<\/span>\uff1a<\/span><\/section>\n<\/li>\n<\/ul>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;text-align: center;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-ratio=\"0.8805668016194332\"  data-type=\"png\" data-w=\"988\" height=\"auto\" style=\"width: 465px;height: 409px;\" width=\"988\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-8f2eb541c46481e38b83836e956b255f.png\"  \/><\/section>\n<p style=\"white-space: normal;text-align: center;margin-left: 8px;margin-right: 8px;line-height: 1.5em;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">\u56fe13\uff1a\u624b\u5f81 Kuramoto \u6a21\u578b\u7684\u4e00\u9636\u76f8\u53d8\u548c\u6ede\u540e\u5f62\u6210\u7684\u9ece\u66fc\u66f2\u9762[41]<\/span><\/p>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<h3 style=\"outline: 0px;white-space: normal;letter-spacing: 0.544px;font-family: -apple-system, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;background-color: rgb(255, 255, 255);\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;font-family: PingFangSC-light;text-align: right;font-size: 13px;\">\n<section style=\"margin: 10px 8px;outline: 0px;letter-spacing: 0.544px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;text-align: center;line-height: 1.75em;\">\n<section style=\"outline: 0px;display: inline-block;vertical-align: middle;\">\n<section style=\"margin-bottom: -2px;outline: 0px;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;clear: both;line-height: 0;\">\n<section style=\"outline: 0px;line-height: 0;width: 0px;\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align:top;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;outline: 0px;border-left: 3px solid rgb(33, 166, 210);border-right: 3px solid rgb(33, 166, 210);border-top-color: rgb(33, 166, 210);border-bottom-color: rgb(33, 166, 210);font-size: 16px;color: rgb(0, 0, 0);line-height: 1.4;\">\n<p style=\"outline: 0px;\"><strong style=\"outline: 0px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;\">\u516d\u3001\u603b\u7ed3\uff1a<\/strong><\/strong><strong style=\"letter-spacing: 0.544px;outline: 0px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;\">\u89c2\u6d4b\u91cf\u3001<\/strong><\/strong><\/p>\n<p style=\"outline: 0px;\"><strong style=\"letter-spacing: 0.544px;outline: 0px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;\">\u5b88\u6052\u6d41\u3001\u975e\u4e92\u6613\u6027\u3001\u5bf9\u79f0\u6027\u7834\u7f3a\u4e0e\u76f8\u53d8<\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<section style=\"outline: 0px;font-size: 16px;white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8fd9\u7bc7\u8bba\u6587\u7528\u5305\u542b\u65f6\u95f4\u53c2\u6570\u7684\u5e8f\u53c2\u91cf\u573a\u6765\u8ba8\u8bba\u4e00\u822c\u7684\u975e\u4e92\u6613\u6027\u4f5c\u7528\u7684\u6f14\u5316\u3002\u6b63\u5982\u8bfa\u7279\u5b9a\u7406\u6240\u793a\uff0c\u5728\u5168\u5c40\u548c\u8fde\u7eed\u7cfb\u7edf\u4e2d\uff0c\u5b88\u6052\u5f8b\u548c\u5bf9\u79f0\u6027\u6709\u7740\u4e00\u4e00\u5bf9\u5e94\u5173\u7cfb\uff0c\u8fd9\u4e5f\u5305\u62ec\u91cf\u5b50\u529b\u5b66\u4e2d\u67d0\u4e9b\u79bb\u6563\u5bf9\u79f0\u6027\u3002\u800c\u975e\u4e92\u6613\u6027\u5219\u6765\u6e90\u4e8e\u7cfb\u7edf\u5e73\u8861\u6001\u7684\u8fdc\u79bb\u548c\u5bf9\u79f0\u6027\u7834\u7f3a\u3001\u6216\u81ea\u53d1\u5bf9\u79f0\u6027\u7834\u7f3a\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5c31\u672c\u8d28\u800c\u8a00\uff0c\u6240\u6709\u7684\u5bf9\u79f0\u6027\u90fd\u6e90\u81ea\u67d0\u4e9b\u57fa\u672c\u7684\u7269\u7406\u300c\u4e0d\u53ef\u89c2\u6d4b\u91cf\u300d<\/span><\/strong><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08Non-observables\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u3002\u4f8b\u5982\uff0c\u6b63\u56e0\u4e3a\u5f31\u76f8\u4e92\u4f5c\u7528\u4e0b\u5b87\u79f0\u4e0d\u5b88\u6052\uff0c\u4eba\u7c7b\u624d\u6253\u7834\u4e86\u955c\u50cf\u5bf9\u79f0\u6027\u533a\u5206\u51fa\u4e86\u300c\u5de6-\u53f3\u300d\uff1b\u540c\u6837\u9053\u7406\uff0c\u7531\u4e8e\u7a7a\u95f4\u5747\u5300\u6027\u548c\u65f6\u95f4\u5747\u5300\u6027\uff0c\u7edd\u5bf9\u4f4d\u7f6e\u548c\u7edd\u5bf9\u65f6\u95f4\u4e0d\u53ef\u533a\u5206\uff0c\u6240\u4ee5\u5c31\u4ea7\u751f\u4e86\u52a8\u91cf\u5b88\u6052\u548c\u80fd\u91cf\u5b88\u6052\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u6709\u4e9b\u7269\u7406\u91cf\u6211\u4eec\u53ef\u80fd\u6c38\u8fdc\u65e0\u6cd5\u89c2\u6d4b\uff0c\u4f46\u6709\u4e9b\u53ef\u80fd\u9650\u4e8e\u6211\u4eec\u4eba\u7c7b\u7684\u6280\u672f\u548c\u89c2\u6d4b\u6c34\u5e73\u3002\u800c\u4e00\u65e6\u51fa\u73b0\u67d0\u4e9b\u7269\u7406\u91cf\u53ef\u89c2\u6d4b\u6216\u4e0d\u53ef\u89c2\u6d4b\uff0c\u5c31\u610f\u5473\u7740\u975e\u4e92\u6613\u548c\u4e92\u6613\u6027\u4f5c\u7528\u4e4b\u95f4\u53d1\u751f\u4e86\u8f6c\u5316\uff0c\u5c31\u4f1a\u5bfc\u81f4\u67d0\u4e9b\u5bf9\u79f0\u6027\u7834\u7f3a\u6216\u6062\u590d<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u6216\u4e3a\u4e86\u6ee1\u8db3\u6570\u5b66\u5f62\u5f0f\u4eba\u4e3a\u5f25\u8865\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u4ece\u800c\u53ef\u80fd\u5f62\u6210\u65b0\u7684\u7269\u6001\u548c\u7269\u76f8\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u6839\u636e\u674e\u653f\u9053\u7684\u603b\u7ed3[35]\uff0c\u5728\u7269\u7406\u5b66\u6709\u56db\u7ec4\u4e3b\u8981\u7684\u5bf9\u79f0\u6027\u6216\u7834\u7f3a\u7684\u5bf9\u79f0\u6027\uff1a<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><span style=\"color:#3f3f3f;\">1. <\/span><strong style=\"color: rgb(63, 63, 63);\">\u8fde\u7eed\u65f6\u7a7a\u53d8\u6362\u5bf9\u79f0\u6027<\/strong><span style=\"color:#3f3f3f;\">\uff1a\u5373\u6d1b\u4f26\u5179\u534f\u53d8\u6027\u3002\u5982\u5e73\u79fb\u3001\u8f6c\u52a8\u548c\u52a0\u901f\uff0c\u5bf9\u5e94<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u52a8\u91cf\u5b88\u6052\u3001<\/span><span style=\"font-size: 15px;\"><span style=\"color:#888888;\">\u89d2<\/span><\/span><\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u52a8\u91cf\u5b88\u6052\u3001\u80fd\u91cf\u5b88\u6052\u7b49\u3002\u8fd9\u4e9b\u90fd\u662f\u5168\u5c40\u5bf9\u79f0\u6027\uff0c\u9488\u5bf9\u662f\u5b87\u5b99\u6574\u4f53\u80cc\u666f\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">2. \u79bb\u6563\u53d8\u6362\uff1a\u5206\u7acb\u5bf9\u79f0\u6027\u3002\u5982\u7a7a\u95f4\u53cd\u5c04 P<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u955c\u50cf\u3001P\u5b87\u79f0\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u65f6\u95f4\u53cd\u6f14 T\uff0c\u6b63\u53cd\u7c92\u5b50\u5171\u8f6d C \u5b87\u79f0\u548c G \u5b87\u79f0\uff0c\u5b83\u4eec\u90fd\u662f\u5c40\u57df\u5bf9\u79f0\u6027\uff0c\u9488\u5bf9\u5c40\u57df\u65f6\u7a7a\u70b9\u7684\u5355\u72ec\u53d8\u6362\uff0c\u7ed9\u51fa\u7269\u8d28\u76f8\u4e92\u4f5c\u7528\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">3. \u4ea4\u6362\u5bf9\u79f0\u6027\uff1a\u6ee1\u8db3\u73bb\u8272\u4e00\u7231\u56e0\u65af\u5766\u7edf\u8ba1\uff0c\u6216\u6ee1\u8db3\u8d39\u7c73\u4e00\u72c4\u62c9\u514b\u7edf\u8ba1\uff0c\u5168\u540c\u7c92\u5b50\u7684\u5bf9\u79f0\u6027<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u4f8b\u5982\u6240\u6709\u7535\u5b50\u7684\u5168\u540c\u6027\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u3002\u5373\u4ea4\u6362\u4efb\u4f55\u4e24\u4e2a\u7535\u5b50\uff0c\u7269\u7406\u4e16\u754c\u5fc5\u5b9a\u4fdd\u6301\u76f8\u540c\u3002\u7531\u8fd9\u4e2a\u5bf9\u79f0\u6027\u53ef\u4ee5\u81ea\u7136\u5f97\u51fa\u6ce1\u5229\u4e0d\u76f8\u5bb9\u539f\u7406\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-bottom: 10px;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">4. <strong>\u89c4\u8303\u53d8\u6362\u6027<\/strong>\u3002\u4efb\u4f55\u7c92\u5b50\u96c6\u5408\u7684\u7269\u7406\u72b6\u6001\u53ef\u4ee5\u7528\u4e00\u7ec4\u590d\u6570\u6ce2\u51fd\u6570\u03c8\u6765\u63cf\u8ff0\uff0c\u5305\u62ec\u5927\u5c0f\u548c\u76f8\u4f4d\u3002\u89c4\u8303\u573a\u8bba\u8ba4\u4e3a\uff0c\u4e0d\u540c\u7535\u8377\u4e24\u4e2a\u72b6\u6001\u4e4b\u95f4\u7684\u76f8\u4f4d\u5dee\u6c38\u8fdc\u4e0d\u53ef\u80fd\u89c2\u6d4b\u5230\uff0c\u5373\u6ce2\u51fd\u6570 \u03c8 \u4e58\u4ee5\u4e00\u4e2a\u56e0\u5b50\uff0c\u7269\u7406\u4e16\u754c\u4fdd\u6301\u4e0d\u53d8\uff1a\u03c8 \u2192 \u03c8e<span style=\"font-size: 12px;\"><sup>i<span style=\"color: rgb(63, 63, 63);\">Q\u03b8<\/span><\/sup><\/span>\u3002\u5f53\u56e0\u5b50\u5206\u522b\u662f 1X1\u30012X2\u30013X3 \u7684\u5e7a\u6b63\u77e9\u9635\u65f6\uff0c\u5bf9\u5e94\u4ee5\u4e0b\u4e09\u79cd\u5bf9\u79f0\u6027\uff1a<\/span><\/section>\n<section style=\"white-space: normal;margin-bottom: 10px;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\">1\uff09U(1) \u5bf9\u79f0\u6027\u2014\u2014\u7535\u8377\u3001\u8d85\u8377\u3001\u91cd\u5b50\u6570\u548c\u8f7b\u5b50\u6570\u7684\u5b88\u6052\u5f8b\uff1b<\/span><\/section>\n<section style=\"white-space: normal;margin-bottom: 10px;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">2\uff09SU(2)<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u540c\u4f4d\u65cb\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5bf9\u79f0\u6027\uff0c\u8d28\u5b50\u548c\u4e2d\u5b50\uff1b<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">3\uff09SU(3)<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u8272\u548c\u5473\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5bf9\u79f0\u6027\uff0c\u4e0d\u540c\u989c\u8272\u7684\u5938\u514b\uff0c\u91cf\u5b50\u8272\u52a8\u529b\u5b66\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u4f46\u8fd9\u56db\u7ec4\u5bf9\u79f0\u6027\u4e2d\uff0c\u53ea\u6709\u524d\u4e24\u7ec4\u662f\u4e25\u683c\u7684\uff1b\u7b2c\u4e09\u7ec4\u4e2d\u7684 CPT \u7684\u4e58\u79ef\u662f\u4e25\u683c\u7684\uff0c\u4f46\u6bcf\u4e00\u4e2a\u5355\u72ec\u7684\u79bb\u6563\u5bf9\u79f0\u8fd0\u7b97\u548c\u7ec4\u5408\u5219\u662f\u4e0d\u4e25\u683c\u7684<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u5982PT\u548cCP\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff1b\u5728\u7b2c\u56db\u7ec4\u4e2d\uff0c\u53ea\u6709 U(1) \u5bf9\u79f0\u6027\u548c\u8272\u8377\u65b9\u9762\u7684 SU(3) \u5bf9\u79f0\u6027\uff0c\u88ab\u8ba4\u4e3a\u662f\u4e25\u683c\u7684\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8fd9\u4e9b\u5bf9\u79f0\u548c\u7834\u7f3a\u7684\u89c4\u5f8b\u4e0d\u4ec5\u4ec5\u9488\u5bf9\u57fa\u672c\u7c92\u5b50\u548c\u4f5c\u7528\u91cf\uff0c\u5728\u5b8f\u89c2\u548c\u5176\u5b83\u5c3a\u5ea6\u4e5f\u4f1a\u4ea7\u751f\u65b0\u7684\u5bf9\u79f0\u6027\u3002\u6bd4\u5982\u5bf9\u4e8e\u94c1\u78c1\uff0c\u5728\u6e29\u5ea6\u5347\u9ad8\u76f8\u53d8\u524d\u540e\u7684\u4f0a\u8f9b\u6a21\u578b\u5c31\u5177\u6709\u4e0d\u540c\u7684\u5bf9\u79f0\u6027\u3002\u76f8\u53d8\u524d\uff0c\u5177\u6709\u76f8\u540c\u78c1\u573a\u65b9\u5411\u7684\u539f\u5b50\u56e2\u7684\u5927\u5c0f\u4e0d\u540c\uff1b\u4f46\u5728\u76f8\u53d8\u540e\u5374\u662f\u76f8\u540c\u7684\u2014\u2014\u8fd9\u5f62\u6210\u4e86\u4e00\u79cd\u65b0\u7684\u5bf9\u79f0\u6027<strong>\u5171\u5f62\u4e0d\u53d8\u6027<\/strong><\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08conformal invariance\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">[36]\uff1a\u5373\u5e73\u79fb\u3001\u65cb\u8f6c\u548c\u7f29\u653e\u539f\u5b50\u7f51\u683c\uff0c\u8c03\u6574\u5fae\u89c2\u7ec6\u8282\uff0c\u7cfb\u7edf\u7684\u5168\u5c40\u884c\u4e3a\u4e5f\u4e0d\u4f1a\u6539\u53d8\u3002\u5171\u5f62\u4e0d\u53d8\u6027\u662f\u7269\u7406\u7cfb\u7edf\u76f8\u53d8\u7684\u666e\u904d\u5c5e\u6027\uff0c\u56e0\u6b64\u76f8\u53d8\u524d\u540e<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u5982\u964d\u4f4e\u6e29\u5ea6\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u5373\u53ef\u4ee5\u770b\u6210\u662f\u4e00\u79cd\u5171\u5f62\u4e0d\u53d8\u6027\u6062\u590d\u548c\u7834\u7f3a\u7684\u8fc7\u7a0b\u3002\u4e0e\u4e4b\u76f8\u5e94\u7684\u5171\u5f62\u51e0\u4f55\u7814\u7a76\u7684\u5373\u4fdd\u89d2\u53d8\u6362\u4e0b\u7684\u4e0d\u53d8\u91cf\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u800c\u8fd1\u4e9b\u5e74\u51dd\u805a\u6001\u7269\u7406\u5728\u7814\u7a76\u91cf\u5b50\u7269\u4f53\u76f8\u53d8\u65f6\uff0c\u4e5f\u53d1\u73b0\u4e00\u5927\u7c7b<strong>\u57fa\u4e8e\u91cf\u5b50\u7ea0\u7f20\u7684\u91cf\u5b50\u7269\u6001<\/strong>\u3002\u5982\u8d85\u4f4e\u6e29\u6761\u4ef6\u4e0b\u4e8c\u7ef4\u7535\u5b50\u6c14\u7684\u5206\u6570\u91cf\u5b50\u970d\u5c14\u6001<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08fractional quantum Hall state\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u548c\u91cf\u5b50\u81ea\u65cb\u6db2\u4f53<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08Quantum spin liquid\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u3002\u4f46\u7279\u6b8a\u7684\u662f\uff0c\u4e0d\u540c\u7684\u5206\u6570\u91cf\u5b50\u970d\u5c14\u6001\u5177\u6709\u76f8\u540c\u7684\u5bf9\u79f0\u6027\uff0c\u4e0d\u80fd\u7528\u4f20\u7edf\u7684\u5bf9\u79f0\u6027\u7834\u7f3a\u7406\u8bba\u6765\u63cf\u8ff0\u3002\u56e0\u6b64\u51dd\u805a\u6001\u7269\u7406\u5b66\u5bb6\u8f6c\u4e3a\u7528<strong>\u62d3\u6251\u5e8f<\/strong><\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08topological order\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u6216\u91cf\u5b50\u5e8f<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u65e0\u80fd\u9699\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5bf9\u8fd9\u4e9b\u7269\u6001\u8fdb\u884c\u5206\u7c7b\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u4e0d\u8fc7\uff0c\u82e5\u4ee5\u5168\u606f\u548c\u7ea0\u7f20\u7684\u5bf9\u79f0\u89c2\u70b9\u6765\u770b\uff0c\u8fd9\u4e9b\u62d3\u6251\u5e8f\u4f9d\u7136\u53ef\u4ee5\u770b\u6210\u4e00\u79cd\u9ad8\u9636\u4ee3\u6570\u5bf9\u79f0\u6027\u6216\u8303\u7574\u5bf9\u79f0\u6027<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08categorical symmetry\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">[37] [42]\u3002\u56e0\u6b64\u6768\u632f\u5b81\u5148\u751f\u5728\u56de\u987e20\u4e16\u7eaa\u7269\u7406\u5b66\u53d1\u5c55\u65f6\u6240\u8a00\uff1a<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\">\u201c20\u4e16\u7eaa\u7406\u8bba\u7269\u7406\u7684\u4e09\u4e2a\u4e3b\u65cb\u5f8b\uff1a\u91cf\u5b50\u5316\uff0c\u5bf9\u79f0\u6027\uff0c\u76f8\u4f4d\u56e0\u5b50\u201d\uff0c\u4ee5\u53ca\u5bf9\u79f0\u6027\u652f\u914d\u76f8\u4e92\u4f5c\u7528\u7684\u89c2\u70b9\uff0c\u5728\u6b64\u610f\u4e49\u4e0a\u7ee7\u7eed\u5728\u5f53\u4eca\u7269\u7406\u5b66\u53d1\u5c55\u4e2d\u6709\u6548[38]\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5728\u4e0b\u8868\u4e2d\u5f52\u7eb3\u4e86\u5e38\u89c1\u7684\u53ef\u89c2\u6d4b\u91cf\u3001\u5bf9\u79f0\u6027\u3001\u5b88\u6052\u5f8b\u548c\u4e0d\u53d8\u6027\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u4ee5\u4f9b\u8bfb\u8005\u53c2\u8003\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/section>\n<section style=\"text-align: center;margin-left: 8px;margin-right: 8px;\"><img class=\"rich_pages wxw-img\" data-backh=\"483\" data-backw=\"562\" data-galleryid=\"\" data-ratio=\"0.8591385331781141\" data-s=\"300,640\"  data-type=\"png\" data-w=\"859\" style=\"width: 100%;height: auto;\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-75c01522a92b2208684bee89c7815062.png\"  \/><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"text-align: center;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u6700\u540e\u603b\u7ed3\u3002\u5bf9\u57fa\u7840\u7406\u8bba\u7269\u7406\u800c\u8a00\uff0c\u4e0d\u53ef\u89c2\u6d4b\u91cf\u3001\u4e00\u5b9a\u6570\u5b66\u53d8\u6362\u4e0b\u7684\u4e0d\u53d8\u6027\u548c\u5b88\u6052\u5f8b\u3001\u4e92\u6613\u6027\u5173\u7cfb\u3001\u8d2f\u7a7f\u5728\u6bcf\u4e2a\u5bf9\u79f0\u6027\u539f\u7406\u4e2d\uff0c\u76f8\u5bf9\u7684\u5219\u662f\u975e\u4e92\u6613\u6027\u4f5c\u7528\u3001\u5bf9\u79f0\u6027\u7834\u7f3a\u6216\u5f62\u6210\u67d0\u79cd\u65b0\u7684\u5bf9\u79f0\u6027<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u6062\u590d\uff09<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5bfc\u81f4\u7684\u76f8\u53d8\u3002<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/section>\n<section style=\"white-space: normal;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u6b63\u5982\u672c\u6587\u901a\u8fc7\u5e8f\u53c2\u91cf\u573a\u65b9\u6cd5\u7ed9\u51fa\u4e86\u57fa\u4e8ePT\u5bf9\u79f0\u6027\u7834\u7f3a\u53ca\u81ea\u53d1\u5bf9\u79f0\u6027\u7834\u7f3a\u5728\u975e\u4e92\u6613\u4f5c\u7528\u4e0b\u5b8f\u89c2\u7cfb\u7edf\u7684\u63a8\u5e7f\uff0c\u6253\u901a\u4e86\u4ece\u91cf\u5b50\u51dd\u805a\u6001\u5230\u751f\u7269\u3001\u793e\u4f1a\u96c6\u7fa4\u3001\u795e\u7ecf\u7f51\u7edc\u7b49\u5fae\u89c2\u7c92\u5b50\u548c\u5b8f\u89c2\u591a\u4f53\u4e4b\u95f4\u7684\u6865\u6881\u4e00\u6837\uff0c\u5176\u4f59\u6240\u6709\u57fa\u672c\u7269\u7406\u4f5c\u7528\u5173\u7cfb\u90fd\u53ef\u80fd\u4ee5\u67d0\u79cd\u65b9\u5f0f<strong>\u63a8\u5e7f\u5230\u66f4\u666e\u904d\u7684\u5b8f\u89c2\u7cfb\u7edf<\/strong>\u4e2d\u53bb\u3002\u65e0\u8bba\u662f\u57fa\u4e8e\u4f20\u7edf\u5bf9\u79f0\u6027\u81ea\u53d1\u7834\u7f3a\u601d\u60f3\uff0c\u8fd8\u662f\u57fa\u4e8e\u91cf\u5b50\u7ea0\u7f20\u7684\u91cf\u5b50\u7269\u4f53\u7684\u62d3\u6251\u76f8\u53d8\uff0c\u90fd\u53ef\u4ee5\u81ea\u89c9\u8fd0\u7528\u7c7b\u4f3c\u601d\u60f3\uff0c\u4ece\u800c\u6355\u6349\u5230\u548c\u63cf\u8ff0\u66f4\u591a\u65b0\u7684\u5b8f\u89c2\u7269\u6001\u548c\u76f8\u53d8\u3002<\/span><\/section>\n<p ql-global-para=\"true\" line=\"4pxz\" ql-global=\"true\" style=\"white-space: normal;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/p>\n<p ql-global-para=\"true\" line=\"OhV5\" ql-global=\"true\" style=\"white-space: normal;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">&nbsp;<\/span><\/p>\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;color: rgb(63, 63, 63);font-family: PingFangSC-light;font-size: 15px;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);\">\n<section style=\"padding-right: 6px;padding-left: 6px;outline: 0px;display: inline-block;width: 661px;vertical-align: top;border-left: 5px solid rgb(33, 166, 210);border-bottom-left-radius: 0px;\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;color: rgb(0, 0, 0);line-height: 1.4;\">\n<p style=\"outline: 0px;\"><strong style=\"outline: 0px;\">\u53c2\u8003\u6587\u732e<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;color: rgb(63, 63, 63);font-family: PingFangSC-light;font-size: 15px;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);text-align: center;width: 661px;\">\n<section style=\"padding-left: 4px;outline: 0px;display: inline-block;width: 661px;height: 360px;vertical-align: top;overflow-y: auto;\">\n<section style=\"outline: 0px;overflow-x: hidden;\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;text-align: justify;font-size: 13px;color: rgb(136, 136, 136);\">\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[1] Shankar, S., Souslov, A., Bowick, M. 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Phys. 21, 063006 (2019).<\/span><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[4] Nagy, M., \u00c1kos, Z., Biro, D. &amp; Vicsek, T. Hierarchical group dynamics in pigeon flocks.<\/span><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">Nature 464, 890\u2013893 (2010).<\/span><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[5] Yllanes, D., Leoni, M. &amp; Marchetti, M. C. How many dissenters does it take to disorder a flock? New J. 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Perturbation Theory for Linear Operators 2nd edn (Springer, 1984).<\/span><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[22] https:\/\/www.cantorsparadise.com\/noethers-theorem-how-symmetry-shapes-physics-53c416c1f19c<\/span><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[23]&nbsp;https:\/\/blogs.scientificamerican.com\/observations\/emmy-noethers-mathematics-as-hotel-decor\/<\/span><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[24 ] Parity\u2013Time Symmetry Synthetic Lasers: Physics and Devices<\/span><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[25]&nbsp;https:\/\/www.researchgate.net\/publication\/329807675_Dissipative_spinodal_decomposition_in_systems_with_nonreciprocal_effective_interactions<\/span><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[26] \u8de8\u5b66\u79d1\u7814\u7a76\u4e0e\u975e\u7ebf\u6027\u601d\u7ef4\uff08\u7b2c\u4e8c\u7248\uff09(Interdisciplinary Research and Nonlinear)<\/span><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[27] Order Parameters, Broken Symmetry, and Topology\uff0chttps:\/\/arxiv.org\/pdf\/cond-mat\/9204009.pdf<\/span><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[28] Hohenberg, P. C. &amp; Halperin, B. I. Theory of dynamic critical phenomena. Rev. Mod. Phys.<\/span><span style=\"font-size: 13px;letter-spacing: 0.544px;\">49, 435\u2013479 (1977).<\/span><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[29] Oswald, P., Bechhoefer, J. &amp; Libchaber, A. Instabilities of a moving nematic\u2013isotropic interface. Phys. Rev. Lett. 58, 2318\u20132321 (1987).<\/span><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[30] Faivre, G., de Cheveigne, S., Guthmann, C. &amp; Kurowski, P. Solitary tilt waves in thin lamellar eutectics. Europhys. Lett. 9, 779\u2013784 (1989).<\/span><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[31] Brunet, P., Flesselles, J.-M. &amp; Limat, L. Parity breaking in a one-dimensional pattern: a quantitative study with controlled wavelength. Europhys. Lett. 56, 221\u2013227 (2001).<\/span><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[32] Winfree, A. T. The Geometry of Biological Time (Springer, 2001).<\/span><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[33] Khemani, V., Moessner, R. &amp; Sondhi, S. L. A brief history of time crystals.&nbsp;https:\/\/arxiv.org\/abs\/1910.10745&nbsp;(2019).<\/span><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[34]&nbsp;https:\/\/en.wikipedia.org\/wiki\/Josephson_effect<\/span><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[35] \u674e\u653f\u9053\u300a\u5bf9\u79f0\u4e0e\u4e0d\u5bf9\u79f0\u300b<\/span><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[35] \u300a\u6570\u5b66\u5bb6\u8bc1\u660e\u76f8\u53d8\u7684\u5bf9\u79f0\u6027\uff1a\u4ece\u65cb\u8f6c\u5bf9\u79f0\u6027\u5230\u6807\u5ea6\u4e0d\u53d8\u6027\u300b<\/span><a href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247569567&amp;idx=1&amp;sn=d0738ef5bb731c8495a5bf921ed50cd2&amp;scene=21#wechat_redirect\" target=\"_blank\" rel=\"noopener noreferrer nofollow\" ql-global=\"true\" data-linktype=\"2\" style=\"color: rgb(136, 136, 136);font-size: 13px;\">https:\/\/mp.weixin.qq.com\/s\/Pt-mJJ8t8QHm2kz1xuWUgA<\/a><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[37] Algebraic higher symmetry and categorical symmetry &#8211; a holographic and entanglement view of symmetry&nbsp;https:\/\/arxiv.org\/abs\/2005.14178<\/span><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[38] \u300a\u6768\u632f\u5b81\uff1a\u4e8c\u5341\u4e16\u7eaa\u7406\u8bba\u7269\u7406\u5b66\u7684\u4e3b\u9898\u65cb\u5f8b\u300b<\/span><a href=\"https:\/\/mp.weixin.qq.com\/s?__biz=Mzg2NTIwOTYyNA==&amp;mid=2247484364&amp;idx=1&amp;sn=ef132d98b28e007cc7cdc98098829a5e&amp;scene=21#wechat_redirect\" target=\"_blank\" rel=\"noopener noreferrer nofollow\" ql-global=\"true\" data-linktype=\"2\" style=\"color: rgb(136, 136, 136);font-size: 13px;\">https:\/\/mp.weixin.qq.com\/s\/pB-xeH7qlcy-rcbNfhueQQ<\/a><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[39]&nbsp;http:\/\/www.scholarpedia.org\/article\/Gauge_invariance<\/span><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[40] What is Nonreciprocity?&nbsp;10.1103\/PhysRevApplied.10.047001<\/span><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[41] Non-reciprocal phase transitions\uff0cSupplementary Information section XI.<\/span><\/p>\n<p style=\"margin-bottom: 10px;font-size: 16px;white-space: normal;text-align: left;line-height: normal;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">[42] Thidjin Tzoh\uff0c\u62d3\u6251\u5e8f\u4e0e\u91cf\u5b50\u5e8f<\/span><\/p>\n<p style=\"outline: 0px;\"><br  \/><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section powered-by=\"xiumi.us\" style=\"margin-top: 3px;outline: 0px;color: rgb(63, 63, 63);font-family: PingFangSC-light;font-size: 15px;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);\">\n<section style=\"outline: 0px;font-size: 14px;color: rgb(136, 136, 136);letter-spacing: 1px;\">\n<p style=\"outline: 0px;text-align: center;\">\uff08\u53c2\u8003\u6587\u732e\u53ef<strong style=\"outline: 0px;\">\u4e0a\u4e0b\u6ed1\u52a8<\/strong>\u67e5\u770b\uff09<\/p>\n<p style=\"outline: 0px;\"><br  \/><\/p>\n<p style=\"outline: 0px;\"><br  \/><\/p>\n<\/section>\n<\/section>\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;outline: 0px;letter-spacing: 0.544px;white-space: normal;color: rgb(136, 136, 136);font-size: 14px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;background-color: rgb(255, 255, 255);text-align: center;justify-content: center;\">\n<section style=\"outline: 0px;display: inline-block;width: auto;vertical-align: top;min-width: 10%;height: auto;box-shadow: rgb(0, 0, 0) 0px 0px 0px;border-bottom: 9px solid rgb(169, 215, 227);border-bottom-right-radius: 0px;\">\n<section powered-by=\"xiumi.us\" style=\"margin-bottom: -15px;outline: 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normal;color: rgb(136, 136, 136);font-size: 14px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><span style=\"outline: 0px;font-size: 15px;\">\u96c6\u667a\u6591\u56fe\u9876\u520a\u8bba\u6587\u901f\u9012\u680f\u76ee\u4e0a\u7ebf\u4ee5\u6765\uff0c\u6301\u7eed\u6536\u5f55\u6765\u81ea<span style=\"outline: 0px;font-style: 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noreferrer\">\u5947\u5f02\u70b9\u2014\u2014\u63cf\u8ff0\u975e\u5e73\u8861\u7cfb\u7edf\u76f8\u53d8\u7684\u6570\u5b66\u8bed\u8a00<\/a><\/section>\n<\/li>\n<li style=\"outline: 0px;font-weight: bold;\">\n<section style=\"margin-right: 8px;margin-bottom: 10px;margin-left: 8px;outline: 0px;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247502122&amp;idx=1&amp;sn=aa634135b9235d14af4097331fb56ed0&amp;chksm=e89793a7dfe01ab16a39bfcd8cca45d0ebe4bf034a6514ffff14cdbab4df61e2fb7227c25ddf&amp;scene=21#wechat_redirect\" textvalue=\"Nature\u7269\u7406\uff1a\u600e\u6837\u8ba9\u4fe1\u606f\u4f20\u904d\u5168\u7f51\uff1f\u7a81\u7834\u793e\u533a\u7684\u4e34\u754c\u76f8\u53d8\u70b9\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" style=\"text-decoration: underline;\" data-linktype=\"2\" rel=\"noopener noreferrer\">Nature\u7269\u7406\uff1a\u600e\u6837\u8ba9\u4fe1\u606f\u4f20\u904d\u5168\u7f51\uff1f\u7a81\u7834\u793e\u533a\u7684\u4e34\u754c\u76f8\u53d8\u70b9<\/a><br  \/><\/section>\n<\/li>\n<li style=\"outline: 0px;font-weight: bold;\">\n<section style=\"margin-right: 8px;margin-bottom: 10px;margin-left: 8px;outline: 0px;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247576923&amp;idx=2&amp;sn=57f0d320812c01ff6f5ea97c09fc9623&amp;chksm=e896f7d6dfe17ec038e8d238dae313119fca8c62aabd4730896bc99398db981dd5d9d3e0b927&amp;scene=21#wechat_redirect\" textvalue=\"\u300a\u5f20\u6c5f\u00b7\u590d\u6742\u79d1\u5b66\u524d\u6cbf27\u8bb2\u300b\u5b8c\u6574\u4e0a\u7ebf\uff01\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" style=\"text-decoration: underline;\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u300a\u5f20\u6c5f\u00b7\u590d\u6742\u79d1\u5b66\u524d\u6cbf27\u8bb2\u300b\u5b8c\u6574\u4e0a\u7ebf\uff01<\/a><\/section>\n<\/li>\n<li style=\"outline: 0px;font-weight: bold;\">\n<section style=\"margin-right: 8px;margin-bottom: 10px;margin-left: 8px;outline: 0px;\"><span style=\"outline: 0px;letter-spacing: 0.544px;text-decoration: underline;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247555842&amp;idx=1&amp;sn=383e07df94e429aa66628a22471b37dc&amp;chksm=e897418fdfe0c899169c672f35d92217a17a558ea929f85aef402b1ec074ed2e1176472a3cc7&amp;scene=21#wechat_redirect\" textvalue=\"\u96c6\u667a\u5b66\u56ed\u5e74\u8d39VIP\u8ba1\u5212\u5f00\u542f\uff0c\u4e00\u8d77\u63a2\u7d22\u590d\u6742\u6027\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" wah-hotarea=\"click\" hasload=\"1\" style=\"outline: 0px;-webkit-tap-highlight-color: rgba(0, 0, 0, 0);cursor: pointer;\" rel=\"noopener noreferrer\">\u6210\u4e3a\u96c6\u667aVIP\uff0c\u89e3\u9501\u5168\u7ad9\u8bfe\u7a0b\uff0f\u8bfb\u4e66\u4f1a<\/a><\/span><\/section>\n<\/li>\n<li style=\"outline: 0px;\">\n<section style=\"margin-right: 8px;margin-bottom: 10px;margin-left: 8px;outline: 0px;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247571346&amp;idx=2&amp;sn=bbaa3da959582bf7575e7c32089e155e&amp;chksm=e8968d1fdfe1040999b2716ea642129064c032a3b84227f51cdc055b82be97682be43d490dd8&amp;scene=21#wechat_redirect\" textvalue=\"\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" wah-hotarea=\"click\" hasload=\"1\" style=\"outline: 0px;text-decoration: underline;-webkit-tap-highlight-color: rgba(0, 0, 0, 0);cursor: pointer;\" rel=\"noopener noreferrer\"><strong style=\"outline: 0px;\">\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/strong><\/a><br style=\"outline: 0px;\"  \/><\/section>\n<\/li>\n<\/ul>\n<p style=\"margin-right: 8px;margin-bottom: 5px;margin-left: 8px;outline: 0px;\"><br style=\"outline: 0px;\"  \/><\/p>\n<\/section>\n<p style=\"outline: 0px;letter-spacing: 0.544px;white-space: normal;color: rgb(136, 136, 136);font-size: 14px;background-color: rgb(255, 255, 255);font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\"><br style=\"outline: 0px;\"  \/><\/p>\n<p style=\"outline: currentcolor none 0px;letter-spacing: 0.544px;white-space: normal;color: rgb(136, 136, 136);font-size: 14px;background-color: rgb(255, 255, 255);font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;font-size: 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