{"id":43460,"date":"2023-07-03T18:01:35","date_gmt":"2023-07-03T10:01:35","guid":{"rendered":"https:\/\/swarma.org\/?p=43460"},"modified":"2023-07-03T18:01:35","modified_gmt":"2023-07-03T10:01:35","slug":"prx%e9%80%9f%e9%80%92%ef%bc%9a%e5%a4%8d%e6%9d%82%e7%bd%91%e7%bb%9c%e4%b8%ad%e6%b6%8c%e7%8e%b0%e5%87%ba%e5%87%a0%e4%bd%95%e5%9b%be%e7%81%b5%e6%96%91%e5%9b%be","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=43460","title":{"rendered":"PRX\u901f\u9012\uff1a\u590d\u6742\u7f51\u7edc\u4e2d\u6d8c\u73b0\u51fa\u51e0\u4f55\u56fe\u7075\u6591\u56fe"},"content":{"rendered":"
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\u5173\u952e\u8bcd\uff1a\u590d\u6742\u7f51\u7edc\uff0c\u52a8\u529b\u7cfb\u7edf\uff0c\u5c0f\u4e16\u754c\u7f51\u7edc\uff0c\u53cd\u5e94\u6269\u6563\u65b9\u7a0b\uff0c\u56fe\u7075\u6591\u56fe<\/span><\/strong><\/span><\/strong><\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/strong><\/span><\/p>\n<\/section>\n

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\u8bba\u6587\u9898\u76ee\uff1aEmergence of Geometric Turing Patterns in Complex Networks<\/span><\/section>\n
\u671f\u520a\u6765\u6e90\uff1aPhysical Review X<\/em><\/span><\/section>\n
\u6591\u56fe\u94fe\u63a5\uff1ahttps:\/\/pattern.swarma.org\/paper\/54f03d06-1158-11ee-a1a8-0242ac17000d<\/span><\/section>\n
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1952\u5e74\uff0c\u56fe\u7075\u521b\u9020\u6027\u5730\u4f7f\u7528\u53cd\u5e94-\u6269\u6563\u7cfb\u7edf\u7684\u6570\u5b66\u6a21\u578b\u6765\u63cf\u8ff0\u81ea\u7136\u754c\u4e2d\u7684\u6591\u56fe\uff0c\u6bd4\u5982\u864e\u7eb9\u3001\u8c79\u6591\u3001\u80da\u80ce\u5f62\u6001\u53d1\u751f\u3002\u8fd9\u7c7b\u53ef\u4ee5\u7528\u53cd\u5e94-\u6269\u6563\u65b9\u7a0b\u63cf\u8ff0\u7684\u6591\u56fe\uff0c\u88ab\u540e\u4eba\u79f0\u4e3a\u56fe\u7075\u6591\u56fe<\/span>\uff08Turing Pattern\uff09<\/span>\u3002\u56fe\u7075\u6591\u56fe\u4ea7\u751f\u4e8e\u76f8\u4e92\u7ade\u4e89\u7684\u6269\u6563\u7c92\u5b50\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\uff0c\u957f\u671f\u4ee5\u6765\u4e00\u76f4\u662f\u63cf\u8ff0\u81ea\u7136\u754c\u975e\u5e73\u8861\u81ea\u7ec4\u7ec7\u7684\u4e00\u4e2a\u91cd\u8981\u6982\u5ff5\uff0c\u5e76\u5728\u8bb8\u591a\u5316\u5b66\u548c\u751f\u7269\u7cfb\u7edf\u4e2d\u5f97\u5230\u4e86\u5e7f\u6cdb\u7814\u7a76\u3002<\/span><\/section>\n

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\u53cd\u5e94\u6269\u6563\u7cfb\u7edf\uff1a\u5728\u6587\u4e2d\u6307\u7531\u4e24\u79cd\u5143\u7d20\u7ec4\u6210\uff0c\u5b83\u4eec\u4e4b\u95f4\u5177\u6709\u5316\u5b66\u53cd\u5e94\uff0c\u800c\u6bcf\u4e00\u79cd\u5143\u7d20\u4e5f\u540c\u65f6\u5b58\u5728\u968f\u673a\u6269\u6563\u7684\u7cfb\u7edf\uff0c\u6570\u5b66\u4e0a\u901a\u5e38\u4f7f\u7528\u504f\u5fae\u5206\u65b9\u7a0b\u63cf\u8ff0\u3002<\/span><\/p>\n

\u81ea\u7ec4\u7ec7\u7406\u8bba\uff1a\u901a\u8fc7\u8d77\u6e90\u4e8e\u521d\u59cb\u65e0\u5e8f\u7cfb\u7edf\u7684\u90e8\u5206\u5143\u7d20\u4e4b\u95f4\u7684\u5c40\u90e8\u53d1\u751f\u76f8\u4e92\u4f5c\u7528\uff0c\u4f7f\u67d0\u79cd\u5f62\u5f0f\u7684\u6574\u4f53\u79e9\u5e8f\u5f62\u6210\u7684\u8fc7\u7a0b\u3002\u5f53\u6709\u8db3\u591f\u7684\u80fd\u91cf\u53ef\u7528\u65f6\uff0c\u8be5\u8fc7\u7a0b\u53ef\u4ee5\u662f\u81ea\u53d1\u7684\uff0c\u4e0d\u9700\u8981\u4efb\u4f55\u5916\u90e8\u4e3b\u4f53\u8fdb\u884c\u63a7\u5236\u3002\u6df7\u6c8c\u7406\u8bba\u4e2d\u8ba8\u8bba\u7684\u81ea\u7ec4\u7ec7\uff0c\u5c31\u5982\u540c\u4e0d\u53ef\u9884\u6d4b\u7684\u5927\u6d77\u4e2d\u7684\u786e\u5b9a\u6027\u5b64\u5c9b\u3002<\/span><\/p>\n<\/blockquote>\n

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\u5386\u53f2\u4e0a\uff0c\u4eba\u4eec\u66fe\u5728\u62d3\u5c55\u7cfb\u7edf<\/span>\uff08extended systems\uff09<\/span>\u548c\u6676\u683c<\/span>\uff08lattices\uff09<\/span>\u4e2d\u7814\u7a76\u8fc7\u56fe\u7075\u6591\u56fe\u3002\u4f46\u4e9b\u7814\u7a76\u4e2d\u63cf\u8ff0\u7684\u7f51\u7edc\u6a21\u578b\u5e76\u4e0d\u9002\u5408\u63cf\u8ff0\u771f\u5b9e\u7684\u7cfb\u7edf\u3002\u5f88\u591a\u56fe\u7075\u6591\u56fe\uff08\u5982\u80da\u80ce\u5f62\u6001\u53d1\u751f\uff09\u5e94\u5728\u591a\u7ec6\u80de\u7f51\u7edc<\/span>\uff08multicellular network\uff09<\/span>\u800c\u975e\u8fde\u7eed\u4ecb\u8d28<\/span>\uff08continuous medium\uff09<\/span>\u4e2d\u7814\u7a76\u3002\u8fd9\u79cd\u590d\u6742\u7684\u7f51\u7edc\u7ed3\u6784\u8ba9\u56fe\u7075\u6591\u56fe\u7684\u52a8\u529b\u5b66\u7814\u7a76\u53d8\u5f97\u56f0\u96be\uff0c\u5e38\u5c40\u9650\u5728\u5c0f\u578b\u7f51\u7edc\u3002<\/span><\/section>\n

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Nakao\u548cMikhailov\u5728\u7f51\u7edc\u79d1\u5b66\u7684\u80cc\u666f\u4e0b\u8bc1\u660e\uff1a\u5728\u968f\u673a\u56fe\u4e2d\uff0c\u6fc0\u6d3b-\u6291\u5236\u7c7b\u6269\u6563\u7cfb\u7edf\u4e2d\u5b58\u5728\u56fe\u7075\u4e0d\u7a33\u5b9a\u6027<\/span>\uff08Turing instability\uff09<\/span>\u3002\u800c\u56fe\u7075\u4e0d\u7a33\u5b9a\u6027\u4ee5\u53ca\u76f8\u5e94\u7684\u6d8c\u73b0\u6591\u56fe\u540c\u5b9e\u9645\u7f51\u7edc\u4e2d\u7684\u5ea6\u5f02\u8d28\u6027\u5bc6\u5207\u76f8\u5173\uff0c\u672c\u8d28\u4e0a\u662f\u7eaf\u62d3\u6251\u7684\u3002\u73b0\u5728\uff0c\u4eba\u4eec\u53d1\u73b0\uff0c\u5373\u4f7f\u5728\u7f3a\u4e4f\u660e\u663e\u51e0\u4f55\u7ec4\u7ec7\u7684\u65e0\u6807\u5ea6\/\u5c0f\u4e16\u754c\u7f51\u7edc\u4e2d\uff0c\u56fe\u7075\u4e0d\u7a33\u5b9a\u6027\u4e5f\u4f1a\u4ea7\u751f\u62d3\u6251\u6591\u56fe\u3002<\/strong><\/span><\/section>\n

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\u867d\u7136\u5728\u7b80\u5355\u7684\u7f51\u7edc\u6a21\u578b<\/span>\uff08\u5982WS\u7f51\u7edc\uff09<\/span>\u4e2d\u5df2\u7ecf\u53d1\u73b0\u4e86\u660e\u786e\u7684\u51e0\u4f55\u6591\u56fe\u7684\u7ebf\u7d22\uff0c\u4f46\u5728\u5f02\u6784\u590d\u6742\u7f51\u7edc\u4e2d\u51e0\u4f55\u56fe\u7075\u6591\u56fe\u7684\u786e\u5207\u6027\u8d28\u548c\u5f62\u6001\u95ee\u9898\u4ecd\u672a\u89e3\u51b3\u3002<\/span><\/section>\n

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\u8fd1\u671f\u53d1\u8868\u4e8ePHYSICAL REVIEW X<\/em>\u7684\u8fd9\u9879\u5de5\u4f5c\u7814\u7a76\u4e86\u51e0\u4f55\u968f\u673a\u56fe\u6a21\u578b<\/span>\uff08geometric random graph models\uff09<\/span>\u6846\u67b6\u4e2d\u7684\u56fe\u7075\u4e0d\u7a33\u5b9a\u6027\uff0c\u7528\u4e00\u4e2a\u5e95\u5c42\u7684\u51e0\u4f55\u7a7a\u95f4\u6765\u89e3\u91ca\u7f51\u7edc\u62d3\u6251\u3002\u6b64\u6846\u67b6\u901a\u8fc7\u7814\u7a76\u9000\u706b\u56fe\u62c9\u666e\u62c9\u65af\u77e9\u9635<\/span>\uff08annealed graph Laplacian\uff09<\/span>\u7684\u7279\u5f81\u5411\u91cf\uff0c\u4e0d\u4ec5\u53ef\u4ee5\u89c2\u6d4b\u5230\u51e0\u4f55\u6591\u56fe\uff0c\u800c\u4e14\u53ef\u4ee5\u4f30\u8ba1\u51fa\u5b83\u4eec\u7684\u6ce2\u957f\u3002<\/span><\/section>\n

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\u6700\u540e\uff0c\u4ed6\u4eec\u8fd8\u8bc1\u660e\u4e86\u53ef\u4ee5\u5728\u771f\u5b9e\u7f51\u7edc\u7684\u51e0\u4f55\u5d4c\u5165\u4e2d\u627e\u5230\u56fe\u7075\u6591\u56fe\u3002\u8fd9\u4e9b\u7ed3\u679c\u8868\u660e\uff1a\u7f51\u7edc\u7684\u529f\u80fd\u4e0e\u5176\u9690\u85cf\u7684\u51e0\u4f55\u7ed3\u6784\u4e4b\u95f4\u5b58\u5728\u7740\u6df1\u523b\u7684\u8054\u7cfb\uff0c\u5373\u4f7f\u76f8\u5173\u7684\u52a8\u529b\u5b66\u8fc7\u7a0b\u5b8c\u5168\u7531\u7f51\u7edc\u62d3\u6251\u51b3\u5b9a\u3002<\/span><\/section>\n

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\u56fe1. \u7f51\u7edc\u4e2d\u56fe\u7075\u6591\u56fe\u7684\u4f8b\u5b50\uff1b\u7b2c\u4e00\u5217\uff1a\u5c0f\u9f20\u8fde\u63a5\u7ec4\u7f51\u7edc\uff1b\u7b2c\u4e8c\u5217\uff1a\u5f3a\u5f02\u6784\u7684S1H2\u6a21\u578b\uff08\u4e00\u79cd\u51e0\u4f55\u8f6f\u914d\u7f6e\u6a21\u578b\uff09\uff1b\u7b2c\u4e09\u5217\uff1a\u5f31\u5f02\u6784\u7684S1H2\u6a21\u578b\u3002\u7b2c\u4e00\u884c\uff1a\u8282\u70b9\u5728\u53cc\u66f2\u7a7a\u95f4\u7684\u5b9a\u4f4d\uff1b\u7b2c\u4e8c\u884c\uff1a\u6fc0\u6d3b\u7269\u5bc6\u5ea6\u4f5c\u4e3a\u8282\u70b9\u89d2\u5750\u6807\u7684\u51fd\u6570\uff1b\u7b2c\u4e09\u884c\uff1ai(\u8282\u70b9\u5ea6\u6392\u540d)\uff0cu(\u03b8)\u6fc0\u6d3b\u7269\u5bc6\u5ea6\uff1b<\/span><\/p>\n


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\u56fe2. \u9000\u706b\u8fd1\u4f3c\u548c\u5ea6\u6b63\u5219\u4e00\u7ef4\u6676\u683c\u7684\u8272\u6563\u5173\u7cfb\u3002<\/span><\/section>\n
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\u56e0\u679c\u6d8c\u73b0\u8bfb\u4e66\u4f1a\u7b2c\u4e09\u5b63\u542f\u52a8<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


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\u56e0\u679c\u6d8c\u73b0\u8bfb\u4e66\u4f1a\u7b2c\u4e09\u5b63\u542f\u52a8\uff1a\u6df1\u5165\u591a\u5c3a\u5ea6\u590d\u6742\u7cfb\u7edf\u6838\u5fc3\uff0c\u63a2\u7d22\u56e0\u679c\u6d8c\u73b0\u7406\u8bba\u5e94\u7528<\/a><\/span>
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\u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/strong><\/p>\n

\u200d<\/span>1. <\/strong>Nat. Commun. \u901f\u9012\uff1a\u78c1\u6781\u5316\u5b50\u7684\u52a8\u529b\u5b66\u81ea\u7ec4\u7ec7\u4e0e\u6591\u56fe\u5f62\u6210<\/a><\/strong><\/span><\/strong><\/section>\n
2.<\/strong> \u6307\u7eb9\u4e3a\u4f55\u72ec\u4e00\u65e0\u4e8c\uff1fCell \u65b0\u7814\u7a76\u63ed\u793a\u6307\u7eb9\u5f62\u6210\u7684\u56fe\u7075\u6591\u56fe\u673a\u5236<\/a><\/strong><\/span><\/strong><\/section>\n
3. <\/strong><\/strong>PRL \u901f\u9012\uff1a\u52a8\u6001\u6e90\u57df\u7cfb\u7edf\u4e2d\u6591\u56fe\u751f\u6210\u7684\u7a33\u5b9a\u6027<\/a><\/strong><\/strong><\/span><\/strong><\/strong><\/section>\n
4. \u300a\u5f20\u6c5f\u00b7\u590d\u6742\u79d1\u5b66\u524d\u6cbf27\u8bb2\u300b\u5b8c\u6574\u4e0a\u7ebf\uff01<\/strong><\/a><\/strong><\/strong><\/strong><\/section>\n
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5. \u6210\u4e3a\u96c6\u667aVIP\uff0c\u89e3\u9501\u5168\u7ad9\u8bfe\u7a0b\uff0f\u8bfb\u4e66\u4f1a<\/span><\/strong><\/a><\/strong><\/strong><\/strong><\/strong><\/section>\n
6.<\/strong><\/strong><\/strong> <\/strong><\/strong><\/strong>\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/strong><\/a><\/strong><\/strong><\/strong><\/span><\/section>\n

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\u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u62a5\u540d\u8bfb\u4e66\u4f1a<\/strong><\/span><\/strong><\/strong><\/span><\/strong><\/section>\n

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\u5173\u952e\u8bcd\uff1a\u590d\u6742\u7f51\u7edc\uff0c\u52a8\u529b\u7cfb\u7edf\uff0c\u5c0f\u4e16\u754c\u7f51\u7edc\uff0c\u53cd\u5e94\u6269\u6563\u65b9\u7a0b\uff0c\u56fe\u7075\u6591\u56fe \u8bba\u6587\u9898\u76ee\uff1aEmergence of Geometric Turing Patterns in Complex Networks \u671f\u520a\u6765\u6e90\uff1aPhysical Review X \u6591\u56fe\u94fe\u63a5\uff1ahttps:\/\/pattern.swarma.org…<\/p>\n","protected":false},"author":0,"featured_media":43455,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"special":[],"_links":{"self":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/43460"}],"collection":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"replies":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=43460"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/43460\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/43455"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=43460"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=43460"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=43460"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=43460"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}