{"id":55282,"date":"2025-01-24T17:18:26","date_gmt":"2025-01-24T09:18:26","guid":{"rendered":"https:\/\/swarma.org\/?p=55282"},"modified":"2025-01-24T17:18:26","modified_gmt":"2025-01-24T09:18:26","slug":"nature-physics-%e7%bb%8f%e5%85%b8%e7%bb%bc%e8%bf%b0%ef%bc%9a%e7%83%ad%e5%8a%9b%e5%ad%a6%e4%b8%8d%e7%a1%ae%e5%ae%9a%e6%80%a7%e5%8e%9f%e7%90%86%e7%ba%a6%e6%9d%9f%e9%9d%9e%e5%b9%b3%e8%a1%a1%e6%b6%a8","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=55282","title":{"rendered":"Nature Physics \u7ecf\u5178\u7efc\u8ff0\uff1a\u70ed\u529b\u5b66\u4e0d\u786e\u5b9a\u6027\u539f\u7406\u7ea6\u675f\u975e\u5e73\u8861\u6da8\u843d"},"content":{"rendered":"
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Jordan M. Horowitz & Todd R. Gingrich<\/span> <\/span>| \u4f5c\u8005<\/span><\/p>\n

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\u60f3\u8c61\u4e00\u4e2a\u975e\u5e73\u8861\u7cfb\u7edf\u4e0e\u73af\u5883\u76f8\u4e92\u8026\u5408\uff0c\u53ef\u4ee5\u4ea4\u6362\u7c92\u5b50\u3001\u70ed\u91cf\u3001\u7535\u8377\u7b49\uff0c\u5982\u56fe1a\u6240\u793a\u3002\u7cfb\u7edf\u7684\u6784\u578b\u53d8\u5316\u4e0e\u8fd9\u4e9b\u4ea4\u6362\u8fc7\u7a0b\u672c\u8d28\u4e0a\u76f8\u4e92\u5173\u8054\u3002\u4f8b\u5982\uff0c\u5982\u679c\u7cfb\u7edf\u7684\u8f6c\u53d8\u9700\u8981\u80fd\u91cf\u589e\u52a0\uff0c\u90a3\u4e48\u8fd9\u90e8\u5206\u80fd\u91cf\u5fc5\u987b\u4ee5\u70ed\u7684\u5f62\u5f0f\u7531\u73af\u5883\u63d0\u4f9b\u3002\u968f\u673a\u70ed\u529b\u5b66<\/strong><\/span>\uff08stochastic thermodynamics\uff09<\/span>\u7684\u7406\u8bba\u6846\u67b6\u5c06\u7cfb\u7edf\u7684\u52a8\u529b\u5b66\u63cf\u8ff0\u4e0e\u73af\u5883\u7684\u70ed\u529b\u5b66\u8054\u7cfb\u8d77\u6765[1-3]\uff0c\u4f7f\u6211\u4eec\u80fd\u591f\u4e00\u81f4\u5730\u7814\u7a76\u975e\u5e73\u8861\u7cfb\u7edf\u5728\u80fd\u91cf\u548c\u70ed\u529b\u5b66\u65b9\u9762\u7684\u6da8\u843d\u3002<\/span><\/strong><\/section>\n

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\u8fd9\u79cd\u5206\u6790\u7684\u7b2c\u4e00\u6b65\u662f\u5efa\u7acb\u4e00\u4e2a\u63cf\u8ff0\u6da8\u843d\u52a8\u529b\u5b66\u7684\u968f\u673a\u6a21\u578b\u3002\u901a\u5e38\uff0c\u8fd9\u4e9b\u52a8\u529b\u5b66\u53ef\u4ee5\u5f88\u597d\u5730\u5efa\u6a21\u4e3a\u7cfb\u7edf\u5728\u4e00\u7ec4\u79bb\u6563\u72b6\u6001\u6216\u6784\u578b<\/span>\uff08\u5982x\u3001y\u3001z\u7b49\uff09<\/span>\u4e4b\u95f4\u7684\u968f\u673a\u8df3\u8dc3\u3002\u4f8b\u5982\uff0c\u5bf9\u4e8e\u4ee5\u79bb\u6563\u6b65\u9aa4\u524d\u8fdb\u7684\u5206\u5b50\u9a6c\u8fbe\uff0c\u6216\u8005\u901a\u8fc7\u91cf\u5b50\u70b9\u4f20\u8f93\u5355\u4e2a\u7535\u5b50\u4ee5\u4ea7\u751f\u7535\u6d41\u7684\u8fc7\u7a0b\u3002\u8fd9\u79cd\u8df3\u8dc3\u8fc7\u7a0b\u7684\u7269\u7406\u52a8\u529b\u5b66\u53ef\u4ee5\u7f16\u7801\u5728\u4e00\u7cfb\u5217\u8f6c\u79fb\u6982\u7387 r(x, y) \u4e2d\uff0c\u8fd9\u4e9b\u8f6c\u79fb\u6982\u7387\u6307\u5b9a\u4e86\u4ece\u72b6\u6001 y \u8df3\u5230\u72b6\u6001 x \u7684\u5355\u4f4d\u65f6\u95f4\u6982\u7387\u3002\u7136\u540e\uff0c\u5728\u9002\u5f53\u7684\u5047\u8bbe\u4e0b\uff0c\u7cfb\u7edf\u7684\u6982\u7387\u5bc6\u5ea6\u5728\u957f\u65f6\u95f4\u6781\u9650\u4e0b\u4f1a\u5f1b\u8c6b\u5230\u4e00\u4e2a\u552f\u4e00\u7684\u7a33\u6001 \u03c0(x)\u3002<\/span><\/section>\n

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\u56fe1. \u7c92\u5b50\u6d41\u6da8\u843d\u7684\u70ed\u529b\u5b66\u7ea6\u675f<\/span><\/section>\n
a. \u7528\u4e8e\u63cf\u8ff0\u4e24\u4e2a\u7c92\u5b50\u5e93\u4e4b\u95f4\u975e\u5e73\u8861\u8f93\u8fd0\u7684\u73a9\u5177\u6a21\u578b\uff0c\u4e24\u4e2a\u7c92\u5b50\u5e93\u7684\u5316\u5b66\u52bf\u5206\u522b\u4e3a \u03bc<\/span>left<\/sub> \u548c \u03bc<\/span>right<\/sub>\uff0c\u6e29\u5ea6\u4e3a T\u3002\u8be5\u7cfb\u7edf\u7531\u4e24\u4e2a\u76f8\u90bb\u7684\u4f4d\u70b9\u7ec4\u6210\uff0c\u5176\u80fd\u91cf\u5dee\u4e3a \u0394E\u3002\u6bcf\u4e2a\u4f4d\u70b9\u53ef\u4ee5\u662f\u7a7a\u7684\u6216\u88ab\u5355\u4e2a\u7c92\u5b50\u5360\u636e\u3002\u7c92\u5b50\u4ee5\u6982\u7387 p\u3001q\u3001\u03b1\u3001\u03b2\u3001\u03b3\u3001\u03b4 \u8fdb\u5165\/\u8df3\u51fa\u7c92\u5b50\u5e93\u6216\u5728\u4f4d\u70b9\u4e4b\u95f4\u8df3\u8dc3\u3002\u968f\u673a\u70ed\u529b\u5b66\u6839\u636e\u7c92\u5b50\u5e93\u7684\u5e73\u8861\u6027\u8d28\uff08T\u3001\u03bcleft<\/sub>\u3001\u03bcright<\/sub>\uff09\u5bf9\u8fd9\u4e9b\u6982\u7387\u8fdb\u884c\u7ea6\u675f\uff0c\u8be6\u89c1\u65b9\u68461\u3002<\/span><\/section>\n
b. \u8fd9\u662f\u901a\u8fc7\u8bbe\u5b9a \u03b1 = 2\uff0c\u03b2 = \u03b3 = \u03b4 = q = 1\uff0c\u7136\u540e\u8c03\u6574\u6982\u7387 p \u6765\u6539\u53d8\u4e0d\u53ef\u9006\u6027\uff08\u4ee5\u5e73\u5747\u8017\u6563 \u03a3\u03c4<\/sub> \u8861\u91cf\uff0c\u989c\u8272\u4ece\u7d2b\u8272\u5230\u7ea2\u8272\uff09\u751f\u6210\u7684\u7cfb\u7edf\u7c92\u5b50\u6d41\u65f6\u95f4\u8f68\u8ff9\u7684\u4ee3\u8868\u6027\u793a\u4f8b\u3002\u566a\u58f0\u5bfc\u81f4\u6d41 J\u03c4<\/sub> \u7684\u79ef\u7d2f\u968f\u65f6\u95f4\u548c\u5728\u4e0d\u540c\u5b9e\u73b0\u4e4b\u95f4\u6da8\u843d\u3002\u5728\u4f4e\u8017\u6563\u60c5\u51b5\u4e0b\uff08\u7d2b\u8272\uff09\uff0c\u5e73\u5747\u6d41\u4ee5\u901f\u7387 \u27e8j\u27e9 \u7f13\u6162\u589e\u957f\uff0c\u540c\u65f6\u5176\u5206\u5e03\uff08\u6216\u65b9\u5dee\uff09\u4e5f\u968f\u4e4b\u589e\u52a0\uff0c\u4f46\u65b9\u5dee\u76f8\u5bf9\u4e8e\u5e73\u5747\u6d41\u8f83\u5927\u3002\u5728\u9ad8\u8017\u6563\u60c5\u51b5\u4e0b\uff08\u6a59\u8272\uff09\uff0c\u5e73\u5747\u6d41\u589e\u52a0\u7684\u540c\u65f6\uff0c\u65b9\u5dee\u4e5f\u76f8\u5e94\u589e\u52a0\uff08\u5185\u63d2\u56fe\uff09\uff0c\u4f46\u6d41\u7684\u4e0d\u786e\u5b9a\u6027\u51cf\u5c0f\u3002<\/span><\/section>\n
c. \u6709\u9650\u65f6\u95f4\uff08\u03c4 = 1\uff09\u5185\u7c92\u5b50\u6d41\u7684\u4e0d\u786e\u5b9a\u6027\u59cb\u7ec8\u8d85\u8fc7\u4e09\u79cd\u5f62\u5f0f\u7684\u70ed\u529b\u5b66\u4e0d\u786e\u5b9a\u6027\u5173\u7cfb\uff08TUR\uff09\u3002\u5728\u4f4e\u8017\u6563\u6781\u9650\u4e0b\uff0c\u4e09\u79cd\u754c\u9650\u5b8c\u5168\u4e00\u81f4\u4e14\u7d27\u5bc6\u3002\u5728\u9ad8\u8017\u6563\u6781\u9650\u4e0b\uff0cTUR \u754c\u9650\u53d8\u5f31\uff0c\u56e0\u4e3a\u6da8\u843d\u7684\u6700\u7ec8\u7ea6\u675f\u662f\u52a8\u529b\u5b66\u7684\uff0c\u8fd9\u53ef\u4ee5\u7528\u52a8\u529b\u5b66\u6d3b\u52a8\u7684\u4e0d\u786e\u5b9a\u6027\u5173\u7cfb\u6765\u91cf\u5316\u3002\u901a\u8fc7\u5728\u76f8\u5bf9\u8f83\u77ed\u7684\u65f6\u95f4\uff08\u03c4 = 1\uff09\u5185\u7ed8\u5236\u4e09\u79cd TUR \u754c\u9650\uff0c\u6211\u4eec\u786e\u4fdd\u8017\u6563\u9002\u4e2d\u4e14\u754c\u9650\u5927\u5c0f\u76f8\u4f3c\uff0c\u4f46\u968f\u7740\u89c2\u5bdf\u65f6\u95f4\u589e\u52a0\uff0c\u53cc\u66f2\u548c\u6307\u6570\u754c\u9650\u53d8\u5f31\uff0c\u5e76\u5728 \u03c4 \u2192 \u221e \u6781\u9650\u4e0b\u8d8b\u4e8e\u96f6\uff08\u5185\u63d2\u56fe\uff09\u3002<\/span><\/section>\n

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\u4e0d\u8fc7\u4ec5\u51ed\u52a8\u529b\u5b66\u672c\u8eab\u8fd8\u4e0d\u8db3\u4ee5\u8fdb\u884c\u4efb\u4f55\u70ed\u529b\u5b66\u63a8\u65ad\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u63d0\u51fa\u968f\u673a\u70ed\u529b\u5b66\u7684\u6838\u5fc3\u5047\u8bbe\uff0c\u5e76\u5bf9\u8f6c\u79fb\u6982\u7387\u7684\u5f62\u5f0f\u65bd\u52a0\u7269\u7406\u7ea6\u675f\u3002\u7cfb\u7edf\u72b6\u6001\u4e4b\u95f4\u7684\u8f6c\u53d8\u662f\u901a\u8fc7\u4e0e\u5177\u6709\u660e\u786e<\/span>\uff08\u5e73\u8861\uff09<\/span>\u70ed\u529b\u5b66\u6027\u8d28<\/span>\uff08\u5982\u6e29\u5ea6\u548c\u5316\u5b66\u52bf\uff09<\/span>\u7684\u5355\u4e2a\u70ed\u5e93\u76f8\u4e92\u4f5c\u7528\u6765\u5b9e\u73b0\u3002\u8fd9\u91cc\u7684\u566a\u58f0\u52a8\u529b\u5b66\u7531\u8bb8\u591a\u5e73\u8861\u70ed\u5e93\u7684\u5f71\u54cd\u4ea7\u751f\uff0c\u8fd9\u4e00\u4e8b\u5b9e\u5bf9\u7cfb\u7edf\u7684\u8f6c\u79fb\u6982\u7387\u65bd\u52a0\u4e86\u7279\u5b9a\u7684\u7269\u7406\u7ea6\u675f\uff0c\u79f0\u4e3a\u5c40\u90e8\u7ec6\u81f4\u5e73\u8861<\/strong><\/span>\uff08local detailed balence\uff09<\/span>\u3002\u8fd9\u4e00\u7ea6\u675f\u8981\u6c42\uff0c\u4efb\u4f55\u4e00\u5bf9\u72b6\u6001\u4e4b\u95f4\u8f6c\u79fb\u6982\u7387\u7684\u4e0d\u5bf9\u79f0\u6027\u5fc5\u987b\u7531\u4ecb\u5bfc\u70ed\u5e93\u7684\u65e0\u91cf\u7eb2\u71b5\u53d8\u5316\u6765\u5e73\u8861\u3002<\/span><\/section>\n<\/section>\n
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\u56fe1a\u7684\u7269\u7406\u793a\u4f8b\u5728\u65b9\u68461\u4e2d\u8fdb\u884c\u4e86\u5206\u6790\uff0c\u4ee5\u660e\u786e\u8bf4\u660e\u52a8\u529b\u5b66\u4e0e\u70ed\u529b\u5b66\u4e4b\u95f4\u7684\u8fd9\u79cd\u8054\u7cfb\u3002\u7c97\u7565\u5730\u8bf4\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u8fd9\u79cd\u71b5\u4ea7\u751f\u89c6\u4e3a\u8f6c\u53d8\u8fc7\u7a0b\u4e2d\u8017\u6563\u5230\u5468\u56f4\u73af\u5883\u7684\u80fd\u91cf\u3002\u56e0\u6b64\uff0c\u8981\u65bd\u52a0\u66f4\u4e0d\u5bf9\u79f0\u7684\u6982\u7387\uff0c\u70ed\u529b\u5b66\u9700\u8981\u66f4\u9661\u5ced\u7684\u80fd\u91cf\u4ee3\u4ef7\u3002<\/span><\/section>\n

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\u968f\u7740\u7cfb\u7edf\u5728\u72b6\u6001\u4e4b\u95f4\u8df3\u8dc3\u6f14\u5316\uff0c\u5b83\u5c06\u4e0e\u5468\u56f4\u73af\u5883\u4ea4\u6362\u80fd\u91cf<\/span>\uff08\u6709\u65f6\u662f\u7269\u8d28\uff09<\/span>\uff0c\u5bfc\u81f4\u6839\u636e\u65b9\u7a0b\uff081\uff09\u71b5\u4ea7\u751f\u3002\u6700\u7ec8\uff0c\u7cfb\u7edf\u5c06\u6536\u655b\u5230\u5176\u975e\u5e73\u8861\u7a33\u6001 \u03c0(x<\/em>)\uff0c\u800c\u5728\u65f6\u95f4\u7a97\u53e3\u03c4\u5185\u4ea7\u751f\u7684\u5e73\u5747\u71b5\u03a3\u03c4<\/sub>\u5c06\u4ee5\u6052\u5b9a\u901f\u7387\u7d2f\u79ef\uff0c<\/span><\/section>\n

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\u8fd9\u4e2a\u6052\u5b9a\u7684\u71b5\u4ea7\u751f\u7387\u5728\u67d0\u79cd\u610f\u4e49\u4e0a\u4ee3\u8868\u4e86\u7ef4\u6301\u975e\u5e73\u8861\u72b6\u6001\u7684\u70ed\u529b\u5b66\u4ee3\u4ef7\u3002<\/span><\/strong><\/section>\n

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Box 1 \u5173\u4e8e\u5c40\u90e8\u7ec6\u81f4\u5e73\u8861\u548c\u968f\u673a\u70ed\u529b\u5b66\u7684\u7b80\u8981\u5165\u95e8\u6307\u5357<\/span><\/strong><\/span><\/p>\n


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\u8003\u8651\u56fe1a\u4e2d\u63cf\u7ed8\u7684\u975e\u5e73\u8861\u7cfb\u7edf\u3002\u6211\u4eec\u53ef\u4ee5\u5c06\u8fd9\u4e2a\u6a21\u578b\u7684\u52a8\u529b\u5b66\u60f3\u8c61\u4e3a\u56fe\u4e0a\u7684\u968f\u673a\u6e38\u8d70\uff0c\u5176\u4e2d\u9876\u70b9\u4ee3\u8868\u6784\u578b\uff0c\u8fb9\u4ee3\u8868\u5141\u8bb8\u7684\u72b6\u6001\u8f6c\u53d8\uff1a<\/span><\/p>\n


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\u6ce8\u610f\u9876\u70b9\u4e4b\u95f4\u7684\u8f6c\u53d8\u4e0d\u9700\u8981\u7c92\u5b50\u6570\u6216\u80fd\u91cf\u5b88\u6052\u3002\u56e0\u6b64\uff0c\u5f00\u653e\u7cfb\u7edf\u7684\u6bcf\u4e00\u6b21\u8f6c\u6362\u90fd\u9700\u8981\u4e0e\u5916\u90e8\u5e93\u4ea4\u6362\u7c92\u5b50\u6216\u80fd\u91cf\u3002\u5c40\u90e8\u7ec6\u81f4\u5e73\u8861\u6761\u4ef6\u5047\u8bbe\u8fd9\u79cd\u4ea4\u6362\u662f\u4e0e\u4e00\u4e2a\u5927\u578b\u5e73\u8861\u5e93\u8fdb\u884c\u3002<\/span><\/p>\n


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3. \u8017\u6563\u6291\u5236\u6d41\u6da8\u843d<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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<\/em><\/span><\/section>\n
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\u5176\u4e2d kB<\/sub> \u662f\u73bb\u5c14\u5179\u66fc\u5e38\u6570[4,7,8]\u3002\u8fd9\u4e00\u89c2\u5bdf\u7ed3\u679c\u5728\u8df3\u8dc3\u8fc7\u7a0b\u7684\u5927\u504f\u5dee\u7406\u8bba\u6846\u67b6\u5185\u901a\u8fc7\u53d8\u5206\u65b9\u6cd5\u5f97\u5230\u4e86\u8bc1\u660e\uff0c\u8be5\u65b9\u6cd5\u5229\u7528\u4e86\u8df3\u8dc3\u8fc7\u7a0b\u7684\u7edf\u8ba1\u7279\u6027[5,9,10]\uff0c\u5e76\u4e14\u5df2\u88ab\u6269\u5c55\u4ee5\u5305\u62ec\u6d41\u7684\u8054\u5408\u6da8\u843d[11]\u3002\u968f\u540e\uff0c\u4eba\u4eec\u901a\u8fc7\u4fe1\u606f\u8bba\u6982\u5ff5[15]<\/span>\uff08\u5982 Cramer\u2013Rao \u4e0d\u7b49\u5f0f[16,17]\u6216\u9785\u7406\u8bba[18]\uff09<\/span>\uff0c\u53d1\u5c55\u4e86\u8fdb\u4e00\u6b65\u7684\u5206\u6790[12,13]\u548c\u66ff\u4ee3\u63a8\u5bfc\u65b9\u6cd5[14]\uff0c\u8fd9\u4e9b\u65b9\u6cd5\u81ea\u7136\u5730\u6269\u5c55\u5230\u591a\u6d41\u6269\u6563\u52a8\u529b\u5b66\u3002<\/span><\/section>\n

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\u53e6\u4e00\u7c7b\u566a\u58f0\u4e0e\u71b5\u4ea7\u751f\u65e0\u5173\uff0c\u800c\u662f\u4e0e\u8f6c\u53d8\u65f6\u95f4\u7684\u7edf\u8ba1\u7279\u6027\u76f8\u5173\u3002\u5373\u4f7f\u8df3\u8dc3\u5e8f\u5217\u662f\u56fa\u5b9a\u7684\uff0c\u8df3\u8dc3\u4e4b\u95f4\u7684\u65f6\u95f4\u4e5f\u662f\u968f\u673a\u7684\u3002\u8df3\u8dc3\u65f6\u95f4\u7684\u6da8\u843d\u662f\u8fde\u7eed\u65f6\u95f4\u52a8\u529b\u5b66\u7684\u56fa\u6709\u7279\u6027\uff0c\u65e0\u6cd5\u901a\u8fc7\u589e\u52a0\u8017\u6563\u6765\u907f\u514d[19\u221221]\u3002\u4e8b\u5b9e\u4e0a\uff0c\u79bb\u6563\u65f6\u95f4\u968f\u673a\u8fc7\u7a0b\u4e2d\u7684\u6d41\u6da8\u843d\u53ef\u80fd\u6bd4\u8fde\u7eed\u65f6\u95f4\u8fc7\u7a0b\u66f4\u5c0f\uff0c\u56e0\u4e3a\u79bb\u6563\u65f6\u95f4\u52a8\u529b\u5b66\u4e0d\u5b58\u5728\u8df3\u8dc3\u65f6\u95f4\u7684\u566a\u58f0[20,22,23]\u3002<\/span><\/section>\n

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4. \u5b9e\u8df5\u5e94\u7528<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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\u4e0d\u786e\u5b9a\u6027\u5173\u7cfb\u5df2\u5728\u591a\u79cd\u573a\u666f\u4e2d\u5f97\u5230\u9a8c\u8bc1\uff0c\u65e0\u8bba\u662f\u5728\u7279\u5b9a\u6a21\u578b[24-32]\u8fd8\u662f\u5728\u5b9e\u9a8c\u4e2d[7]\u3002\u7136\u800c\uff0c\u6700\u6709\u8da3\u7684\u5e94\u7528\u4e0d\u4ec5\u9650\u4e8e\u9a8c\u8bc1\u4e0d\u7b49\u5f0f\u672c\u8eab\uff0c\u800c\u662f\u5c06\u5176\u4f5c\u4e3a\u63a8\u65ad\u7684\u57fa\u7840[8,33]\u3002\u4e00\u4e2a\u5f88\u597d\u7684\u5e94\u7528\u793a\u4f8b\u6765\u81ea\u6587\u732e[34]\u4e2d\u5bf9\u4e00\u79cd\u884c\u8fdb\u6027\u5206\u5b50\u9a6c\u8fbe\u70ed\u529b\u5b66\u6548\u7387\u7684\u5206\u6790\u3002\u8fd9\u79cd\u5206\u5b50\u9a6c\u8fbe\u7531 ATP \u6c34\u89e3\u7684\u5316\u5b66\u52bf\u68af\u5ea6 \u0394\u03bc \u9a71\u52a8\uff0c\u4ee5\u901f\u5ea6 v \u5bf9\u6297\u673a\u68b0\u529b f \u62c9\u52a8\u8d27\u7269\uff0c\u540c\u65f6\u4ee5\u901f\u7387 <\/sub> \u6d88\u8017 ATP*\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u70ed\u529b\u5b66\u6548\u7387\u662f\u5bf9\u6297\u673a\u68b0\u529b\u6240\u505a\u7684\u529f vf <\/em>\u4e0eATP\u63d0\u4f9b\u7684\u5316\u5b66\u529f<\/sub>\u0394\u03bc\u4e4b\u6bd4\uff1a\u03b7 = vf\/(<\/sub>\u0394\u03bc)\u3002\u5206\u5b50\u9a6c\u8fbe\u5c06\u5316\u5b66\u529f\u8f6c\u5316\u4e3a\u673a\u68b0\u529f\uff0c\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u7b2c\u4e8c\u5b9a\u5f8b\u4ec5\u5c06\u6548\u7387\u9650\u5236\u4e3a \u03b7 <\/em>\u2264 1\uff0c\u8fd9\u5e76\u6ca1\u6709\u63d0\u4f9b\u592a\u591a\u4fe1\u606f\u3002\u5c06\u9a6c\u8fbe\u901f\u5ea6\u4f5c\u4e3a\u6d41\uff0c\u4e0d\u786e\u5b9a\u6027\u5173\u7cfb\u5728\u5df2\u77e5\u9a6c\u8fbe\u901f\u5ea6\u6da8\u843d\u7684\u60c5\u51b5\u4e0b\uff0c\u7ed9\u51fa\u4e00\u4e2a\u66f4\u4e3a\u4e25\u683c\u7684\u6548\u7387\u9650\u5236\uff1a<\/span><\/section>\n

<\/span><\/section>\n
<\/section>\n

<\/section>\n
\n
*\u8bd1\u6ce8\uff1aATP \u662f\u4e09\u78f7\u9178\u817a\u82f7 Adenosine Triphosphate \u7684\u7f29\u5199\uff0c\u662f\u7ec6\u80de\u5185\u6700\u76f4\u63a5\u7684\u80fd\u91cf\u6765\u6e90\uff0c\u5176\u6c34\u89e3\u53cd\u5e94\u80fd\u591f\u91ca\u653e\u80fd\u91cf\uff0c\u4fc3\u8fdb\u751f\u7269\u4f53\u5185\u7684\u4e00\u7cfb\u5217\u751f\u5316\u53cd\u5e94\u3002<\/span><\/section>\n<\/blockquote>\n

<\/section>\n
\u5982\u6587\u732e[34]\u6240\u8ff0\uff0c\u8fd9\u4e2a\u4e0d\u7b49\u5f0f\u4f7f\u5f97\u6211\u4eec\u80fd\u591f\u5355\u7eaf\u901a\u8fc7\u9a6c\u8fbe\u8fd0\u52a8\u7684\u52a8\u529b\u5b66\u6d4b\u91cf\u6765\u83b7\u53d6\u70ed\u529b\u5b66\u4fe1\u606f\u2014\u2014\u5373\u6548\u7387\u7684\u754c\u9650\uff0c\u8fd9\u6bd4\u76f4\u63a5\u6d4b\u91cf ATP \u6d88\u8017\u901f\u7387\u5728\u5b9e\u9a8c\u4e0a\u66f4\u4e3a\u7b80\u4fbf\u3002\u6587\u732e[35]\u7814\u7a76\u4e86\u9a71\u52a8\u86cb\u767d\u9a6c\u8fbe\u5728\u4e0d\u540c\u8d1f\u8f7d\u529b\u4f5c\u7528\u4e0b\u7684\u6548\u7387\u754c\u9650\u3002<\/span><\/section>\n

<\/span><\/section>\n

<\/span><\/section>\n

\n
\n
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<\/svg><\/section>\n<\/section>\n<\/section>\n
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5. \u6269\u5c55\u5230\u65b0\u7684\u52a8\u529b\u5b66\u7c7b\u522b<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


<\/p>\n

\u65b9\u7a0b\uff084\uff09\u4e2d\u7684\u70ed\u529b\u5b66\u4e0d\u786e\u5b9a\u6027\u5173\u7cfb<\/span>\uff08TUR\uff09<\/span>\u9002\u7528\u4e8e\u5728\u8fde\u7eed\u65f6\u95f4\u5185\u6f14\u5316\u7684\u8df3\u8dc3\u6216\u6269\u6563\u8fc7\u7a0b\uff0c\u5176\u975e\u5e73\u8861\u9a71\u52a8\u529b\u4e0e\u65f6\u95f4\u65e0\u5173\u4e14\u5728\u65f6\u95f4\u53cd\u6f14\u4e0b\u4e0d\u6539\u53d8\u7b26\u53f7\u3002\u8fd9\u4e9b\u6761\u4ef6\u6392\u9664\u4e86\u4e00\u4e9b\u91cd\u8981\u7684\u52a8\u529b\u5b66\u7c7b\u522b\uff1a\u53d7\u5230\u542b\u65f6\u7ea6\u675f\u5f71\u54cd\u7684\u9a71\u52a8\u7cfb\u7edf[36]\u3001\u91cf\u5b50\u975e\u5e73\u8861\u52a8\u529b\u5b66[37-39]\uff0c\u4ee5\u53ca\u6d89\u53ca\u52a8\u91cf\u6216\u78c1\u573a\u7b49\u91cf\u7684\u8fd0\u52a8 [40-43]\u3002\u4eba\u4eec\u5f88\u5feb\u610f\u8bc6\u5230\uff0c\u653e\u5bbd\u8fd9\u4e9b\u5047\u8bbe\u4e2d\u7684\u4efb\u4f55\u4e00\u4e2a\u90fd\u53ef\u80fd\u5bfc\u81f4\u65b9\u7a0b\uff084\uff09\u4e0d\u518d\u6210\u7acb\u3002\u7136\u800c\uff0c\u8fd9\u79cd\u5c40\u9650\u6027\u53cd\u800c\u6fc0\u53d1\u4eba\u4eec\u53d1\u5c55\u4e86\u70ed\u529b\u5b66\u4e0d\u786e\u5b9a\u6027\u5173\u7cfb\u7684<\/strong>\u6269\u5c55\u5f62\u5f0f<\/strong>\uff1a<\/span><\/section>\n

<\/span><\/section>\n
<\/section>\n

<\/span><\/section>\n
\u5176\u4e2d f \u662f\u4ec5\u4f9d\u8d56\u4e8e\u8017\u6563\u7684\u51fd\u6570\u3002\u521d\u59cb\u7684 TUR \u65b9\u7a0b\uff084\uff09\u4e2d\uff0c\u91c7\u7528\u7684\u662f f(x) = 2\/x\uff1b\u6269\u5c55\u5f62\u5f0f\u4e2d\u7684\u51fd\u6570 f \u76f8\u5bf9\u66f4\u5f31\uff0c\u4f46\u6709\u66f4\u5e7f\u6cdb\u7684\u9002\u7528\u6027\u3002<\/span><\/section>\n

<\/span><\/section>\n

\uff081\uff09\u4ece\u6709\u9650\u65f6\u95f4\u6da8\u843d\u5b9a\u7406\u51fa\u53d1<\/span><\/strong><\/span><\/h3>\n


<\/span><\/p>\n

\u4e0e\u5176\u9488\u5bf9\u4e0d\u540c\u7c7b\u578b\u52a8\u529b\u5b66\u9010\u4e00\u7814\u7a76\uff0c\u4e0d\u5982\u8003\u8651\u5bf9\u79f0\u6027\u5bf9\u6d41\u6da8\u843d\u7684\u5f71\u54cd\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5bf9\u4e8e\u8bb8\u591a\u7c7b\u578b\u7684\u975e\u5e73\u8861\u6a21\u578b\uff0c\u5305\u62ec\u91cf\u5b50\u52a8\u529b\u5b66\u3001\u65f6\u95f4\u5bf9\u79f0\u5468\u671f\u6027\u9a71\u52a8\u548c\u6b20\u963b\u5c3c\u5e03\u6717\u8fd0\u52a8\uff0c\u4efb\u4f55\u6d41\u4e0e\u71b5\u4ea7\u751f\u7684\u8054\u5408\u6da8\u843d\u90fd\u6ee1\u8db3\u6da8\u843d\u5b9a\u7406\u3002\u57fa\u4e8e\u8fd9\u6837\u7684\u6da8\u843d\u5b9a\u7406\uff0c\u6587\u732e[44]\u8bc1\u660e\u6d41\u6da8\u843d\u53ef\u4ee5\u901a\u8fc7\u5f62\u5f0f\u4e3a<\/sub>\u7684\u6307\u6570\u754c\u9650\u6765\u9650\u5236\u3002\u6b64\u540e\u4e0d\u4e45\uff0c\u5728\u51e0\u4e4e\u76f8\u540c\u7684\u6761\u4ef6\u4e0b\uff0c\u6da8\u843d\u5b9a\u7406\u5bf9\u79f0\u6027\u6240\u9690\u542b\u7684\u6700\u4e25\u683c\u754c\u9650\u88ab\u8bc1\u660e\u5177\u6709\u53cc\u66f2\u5f62\u5f0ffh<\/sub>(x) = csch2<\/sup>(g-1<\/sup>(x\/2)\uff09\uff0c\u5176\u4e2d g(y)=y\u00b7tanh(y)[45]\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u7531\u4e8e\u53cc\u66f2\u754c\u9650\u9002\u7528\u4e8e\u5e7f\u6cdb\u7684\u6709\u9650\u65f6\u95f4\u8f68\u8ff9\uff0c\u4eba\u4eec\u53ef\u80fd\u4f1a\u671f\u5f85\u5b83\u53d6\u4ee3\u521d\u59cb\u7684 TUR\uff0c\u5176\u4e2d f(x)=2\/x\u3002\u7136\u800c\uff0c\u53cc\u66f2\u4e0d\u7b49\u5f0f\u8f83\u5f31\uff1b\u8df3\u8dc3\u8fc7\u7a0b\u6d41\u6da8\u843d\u6bd4\u6da8\u843d\u5b9a\u7406\u5bf9\u79f0\u6027\u5355\u72ec\u6240\u80fd\u9884\u6d4b\u7684\u66f4\u4e3a\u4e25\u683c\u3002\u5982\u679c\u76ee\u6807\u662f\u4f7f\u7528 TUR \u4e3a\u57fa\u7840\u4ece\u6d41\u6da8\u843d\u63a8\u65ad\u51fa\u71b5\u4ea7\u751f\uff0c\u8fd9\u79cd\u5f31\u70b9\u53ef\u80fd\u5c24\u5176\u4e0d\u5229\uff1a\u8f83\u5f31\u7684\u754c\u9650\u4f1a\u5bfc\u81f4\u8f83\u5dee\u7684\u63a8\u65ad\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u5173\u952e\u5728\u4e8e\uff0c\u4e0d\u786e\u5b9a\u6027\u5173\u7cfb\u4e4b\u95f4\u7684\u5dee\u5f02\u5728\u957f\u8f68\u8ff9\u6781\u9650\u4e0b\u53d8\u5f97\u5c24\u4e3a\u660e\u663e\uff0c\u53cc\u66f2\u548c\u6307\u6570\u4e0d\u7b49\u5f0f\u5728\u8fd9\u4e00\u6781\u9650\u4e0b\u5931\u53bb\u6548\u529b\uff0c\u5982\u56fe1c\u6240\u793a\u3002<\/span><\/section>\n

<\/span><\/section>\n

\uff082\uff09\u957f\u65f6\u95f4\u6781\u9650<\/span><\/strong><\/span><\/h3>\n


<\/span><\/p>\n

\u4e3a\u4e86\u89c2\u5bdf\u4e0d\u540c\u7684\u957f\u65f6\u95f4\u884c\u4e3a\uff0c\u9996\u5148\u8003\u8651\u6709\u9650\u65f6\u95f4 TUR\uff0c\u5373\u65b9\u7a0b\uff084\uff09\u5728 \u03c4<\/em>\u2192\u221e \u65f6\u7684\u6781\u9650\u3002\u5b9e\u9645\u4e0a\uff0c\u4eba\u4eec\u5728\u77e5\u9053\u6709\u9650\u65f6\u95f4\u7ed3\u679c\u4e4b\u524d\uff0c\u5df2\u7ecf\u89c2\u5bdf\u5e76\u8bc1\u660e\u4e86\u8fd9\u4e2a\u957f\u65f6\u95f4\u6781\u9650\uff0c\u4f46\u6211\u4eec\u5728\u6b64\u98a0\u5012\u4e86\u65f6\u95f4\u987a\u5e8f\uff0c\u4ee5\u7a81\u51fa\u4e00\u4e2a\u7ed3\u679c\u5982\u4f55\u4ece\u53e6\u4e00\u4e2a\u7ed3\u679c\u4e2d\u5f97\u51fa\u3002\u5728\u957f\u65f6\u95f4\u4e0b\uff0c\u5904\u4e8e\u975e\u5e73\u8861\u7a33\u6001\u7684\u7cfb\u7edf\u4f1a\u4ee5\u901f\u7387\u03c3 <\/em>= lim\u03c4<\/em>\u2192\u221e<\/sub> \u03a3\u03c4<\/em><\/sub>\/\u03c4 <\/em>\u6301\u7eed\u4ea7\u751f\u71b5\u3002\u6b64\u5916\uff0c\u4efb\u4f55\u7d2f\u79ef\u6d41\u90fd\u4f1a\u4ee5\u56fa\u5b9a\u901f\u7387 \u27e8j\u27e9 =lim\u03c4<\/em>\u2192\u221e<\/sub> <j\u03c4<\/em><\/sub>>\/\u03c4 <\/em>\u589e\u957f\uff0c\u5176\u6da8\u843d\u4ee5 Var(j<\/em>) = lim\u03c4<\/em>\u2192\u221e<\/sub>Var(J\u03c4<\/sub><\/em>)\/\u03c4<\/em> <\/em>\u6269\u6563\u3002\u65b9\u7a0b\uff084\uff09\u9884\u6d4b\u4e86\u957f\u65f6\u95f4\u6da8\u843d\u7684\u4e00\u4e2a\u975e\u5e73\u51e1\u754c\u9650[4,5]\uff1a<\/span><\/section>\n

<\/span><\/section>\n
<\/section>\n

<\/span><\/section>\n
\u7c7b\u4f3c\u5730\uff0c\u4eba\u4eec\u53ef\u80fd\u5e0c\u671b\u5c06\u65b9\u7a0b\uff086\uff09\u5f62\u5f0f\u7684\u6709\u9650\u65f6\u95f4\u7ed3\u679c\u8f6c\u6362\u4e3a\u957f\u65f6\u95f4\u4e0d\u7b49\u5f0f\uff0c\u5e76\u5c06\u53f3\u4fa7\u66ff\u6362\u4e3a\u71b5\u4ea7\u751f\u7387 \u03c3 <\/em>\u7684\u67d0\u4e2a\u51fd\u6570\u3002\u76ee\u6807\u4ecd\u7136\u662f\u63ed\u793a\u4ec5\u4f9d\u8d56\u4e8e\u6da8\u843d\u5b9a\u7406\u7684\u4e0d\u7b49\u5f0f\uff0c\u8fd9\u4e9b\u4e0d\u7b49\u5f0f\u5373\u4f7f\u5728\u65b9\u7a0b\uff087\uff09\u5931\u6548\u7684\u52a8\u529b\u5b66\u8fc7\u7a0b\u4e2d\u4ecd\u7136\u6709\u6548\u3002\u81ea\u7136\u7684\u5019\u9009\u65b9\u6848\u662f\u4f7f\u7528\u6709\u9650\u65f6\u95f4\u754c\u9650 fe<\/sub> \u548c fh<\/sub> \u7684 \u03c4<\/em>\u2192\u221e \u6781\u9650\uff0c\u4f46\u4e24\u4e2a\u6781\u9650\u90fd\u53ea\u7ed9\u51fa\u4e86\u5e73\u51e1\u7684\u957f\u65f6\u95f4\u4e0d\u7b49\u5f0f Var(j)\/\u27e8j\u27e92<\/sup> \u2265 0\u3002\u5c3d\u7ba1\u6da8\u843d\u5b9a\u7406\u5bf9\u79f0\u6027\u8db3\u4ee5\u7528\u03a3\u03c4<\/sub> <\/em>\u6765\u7ea6\u675f\u6709\u9650\u65f6\u95f4\u6d41\u7684\u6da8\u843d Var(J\u03c4<\/em><\/sub>)\/\u27e8J\u03c4<\/em><\/sub>\u27e92<\/sup>\uff0c\u4f46\u5374\u6ca1\u6709\u7528\u71b5\u4ea7\u751f\u7387 \u03c3 <\/em>\u5bf9 Var(j)\/\u27e8j\u27e92<\/sup> \u4ea7\u751f\u7c7b\u4f3c\u7684\u7ea6\u675f\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u5c3d\u7ba1\u5b58\u5728\u8fd9\u79cd\u5c40\u9650\u6027\uff0c\u5bf9\u4e8e\u65f6\u95f4\u5bf9\u79f0\u5468\u671f\u6027\u9a71\u52a8\u7684\u60c5\u51b5\uff0c\u786e\u5b9e\u5b58\u5728\u4e00\u4e2a\u975e\u5e73\u51e1\u754c\u9650\uff0c\u800c\u5bf9\u4e8e\u8fd9\u79cd\u60c5\u51b5\u65b9\u7a0b\uff087\uff09\u901a\u5e38\u4e0d\u6210\u7acb\u3002\u4f7f\u7528\u5927\u504f\u5dee\u53d8\u5206\u65b9\u6cd5\uff0c\u957f\u65f6\u95f4\u6781\u9650\u4e0b\u6bcf\u4e2a\u5468\u671f \u03c4 <\/em>\u5185\u7684\u6d41\u6da8\u843d\u88ab\u4e00\u4e2a\u4fee\u6b63\u7684\u6307\u6570\u51fd\u6570\u6240\u7ea6\u675f[23]\uff1a<\/span><\/section>\n

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\u5176\u4e2d \u03c3\u03c4 <\/em>\u662f\u4e00\u4e2a\u5468\u671f\u5185\u4ea7\u751f\u7684\u5e73\u5747\u71b5\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u8fd9\u4e2a\u754c\u9650\u6d89\u53ca\u4e0e\u6709\u9650\u65f6\u95f4\u7ed3\u679c\u4e2d\u51fa\u73b0\u7684\u76f8\u540c\u6307\u6570\u51fd\u6570 fe<\/sub>\u3002\u8fd9\u79cd\u5171\u540c\u7684\u7ed3\u6784\u6697\u793a\uff0c\u56f4\u7ed5 fh<\/sub> \u6784\u5efa\u7684\u7c7b\u4f3c\u65b9\u7a0b\uff088\uff09\u7684\u5f62\u5f0f\u4e5f\u53ef\u80fd\u9002\u7528\u4e8e\u65f6\u95f4\u5bf9\u79f0\u5468\u671f\u6027\u9a71\u52a8\u3002\u4e00\u4e2a\u4ecd\u7136\u6709\u5f85\u89e3\u51b3\u7684\u95ee\u9898\u662f\uff0c\u4ec5\u901a\u8fc7\u7c7b\u4f3c\u6da8\u843d\u5b9a\u7406\u8fd9\u6837\u7684\u5bf9\u79f0\u6027\u8003\u8651\uff0c\u662f\u5426\u80fd\u591f\u53d1\u5c55\u8fd9\u4e9b\u548c\u5176\u4ed6\u957f\u65f6\u95f4\u6d41\u6da8\u843d\u7684\u754c\u9650\u3002<\/span><\/section>\n

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\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u65f6\u95f4\u53cd\u6f14\u4f5c\u7528\u4f1a\u6539\u53d8\u8fc7\u7a0b\u7684\u7269\u7406\u7279\u6027\uff0c\u4f8b\u5982\u78c1\u573a\u4f1a\u6539\u53d8\u65b9\u5411\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u540c\u65f6\u8003\u8651\u521d\u59cb\u8fc7\u7a0b\u4e2d\u7684\u6d41\u6da8\u843d<\/sub>\u548c\u65f6\u95f4\u53cd\u6f14\u8fc7\u7a0b<\/span>\uff08\u4f8b\u5982\u78c1\u573a\u65b9\u5411\u76f8\u53cd\u7684\u8fc7\u7a0b\uff09<\/span>\u4e2d\u7684\u6d41\u6da8\u843d<\/sub>\u3002\u63a5\u7740\uff0c\u5c06\u8fd9\u4e24\u4e2a\u8fc7\u7a0b\u7684\u6d41\u6da8\u843d\u76f8\u52a0\uff0c\u5f97\u5230\u65f6\u95f4\u5bf9\u79f0\u7684\u603b\u6d41\u6da8\u843d<\/sub>\uff0c\u5b83\u9075\u5faa\u76f8\u540c\u7684\u6709\u9650\u65f6\u95f4\u4e0d\u786e\u5b9a\u6027\u5173\u7cfb[47,48]\u3002\u8fd9\u79cd\u5bf9\u79f0\u5316\u7684\u8981\u6c42\u4f3c\u4e4e\u52a0\u5f3a\u4e86\u65f6\u95f4\u53cd\u6f14\u5bf9\u79f0\u6027\u4e0e TUR \u4e4b\u95f4\u7684\u8054\u7cfb\uff0c\u4f46\u8fd9\u79cd\u8054\u7cfb\u4ec5\u9650\u4e8e\u6709\u9650\u65f6\u95f4\u6da8\u843d\u3002\u5c06\u8fd9\u79cd\u5173\u7cfb\u6269\u5c55\u5230\u957f\u65f6\u95f4\u7ed3\u679c\uff0c\u4f8b\u5982\u65b9\u7a0b\uff088\uff09\uff0c\u5bf9\u4e8e\u7814\u7a76\u5468\u671f\u6027\u9a71\u52a8\u70ed\u673a\u7684\u6548\u7387\u7279\u522b\u6709\u7528\uff0c\u56e0\u4e3a\u5916\u90e8\u9a71\u52a8\u5f88\u5c11\u662f\u65f6\u95f4\u5bf9\u79f0\u7684\u3002<\/span><\/section>\n

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\u6211\u4eec\u8fd9\u91cc\u5173\u6ce8\u7684\u70ed\u529b\u5b66\u4e0d\u786e\u5b9a\u6027\u5173\u7cfb\u901a\u8fc7\u5e73\u5747\u71b5\u4ea7\u751f\u7387\u7684\u67d0\u79cd\u51fd\u6570\u6765\u7ea6\u675f\u6d41\u6da8\u843d\u3002\u7528\u4e8e\u63a8\u5bfc\u8fd9\u4e9b\u5173\u7cfb\u7684\u65b9\u6cd5\u975e\u5e38\u5f3a\u5927\u4e14\u901a\u7528\uff0c\u5141\u8bb8\u6211\u4eec\u63a8\u5bfc\u51fa\u591a\u79cd\u7c7b\u4f3c TUR \u7684\u5173\u7cfb\uff0c\u4e0d\u4ec5\u9002\u7528\u4e8e\u6d41\uff0c\u4e5f\u9002\u7528\u4e8e\u5176\u4ed6\u53d8\u91cf\u3002\u8fd9\u4e9b\u5173\u7cfb\u5df2\u7ecf\u88ab\u5e94\u7528\u4e8e\u63a8\u5bfc\u5404\u79cd\u6743\u8861<\/span>\uff08trade-off\uff09<\/span>\u5173\u7cfb\uff0c\u4f8b\u5982\u6d3b\u6027[21,49]\u3001\u9996\u6b21\u901a\u8fc7\u65f6\u95f4<\/span>\uff08first passage times\uff09<\/span>[49,50]\u548c\u5e73\u8861\u5e8f\u53c2\u91cf[51]\u3002\u867d\u7136\u5176\u4e2d\u4e00\u4e9b\u6da8\u843d\u754c\u9650\u4e5f\u6d89\u53ca\u71b5\u4ea7\u751f\u7387\uff0c\u5176\u4ed6\u754c\u9650\u5219\u901a\u8fc7\u4e0d\u540c\u65b9\u5f0f\u6765\u7ea6\u675f\u6da8\u843d\uff0c\u5305\u62ec\u901a\u8fc7\u52a8\u529b\u5b66\u7684\u8fd0\u52a8\u7279\u6027<\/span>\uff08\u5982\u5e73\u5747\u6d3b\u6027[52-54]\uff09<\/span>\u3001\u901a\u8fc7\u4f9d\u8d56\u4e8e\u72b6\u6001\u7a7a\u95f4\u62d3\u6251\u7ed3\u6784\u7684\u5ea6\u91cf[41,55]\uff0c\u6216\u901a\u8fc7\u5305\u542b\u5bf9\u9a71\u52a8\u7684\u52a8\u6001\u654f\u611f\u6027\u4ece\u800c\u80fd\u591f\u9650\u5236\u5468\u671f\u6027\u70ed\u673a\u7684\u6548\u7387[56]\u3002<\/span><\/section>\n

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\u6bcf\u4e00\u79cd\u8fd9\u6837\u7684\u4e0d\u7b49\u5f0f\u90fd\u6709\u5176\u4f18\u70b9\u548c\u7f3a\u70b9\uff0c\u65e0\u8bba\u662f\u5728\u6982\u5ff5\u6d1e\u5bdf\u8fd8\u662f\u5728\u5b9e\u9645\u5e94\u7528\u4e0a\u3002\u6839\u636e\u7cfb\u7edf\u53c2\u6570\u548c\u6d4b\u91cf\u7cbe\u5ea6\u7684\u4e0d\u540c\uff0c\u6bcf\u79cd\u754c\u9650\u5bf9\u6da8\u843d\u5927\u5c0f\u7684\u7ea6\u675f\u4e5f\u6709\u6240\u4e0d\u540c\u3002\u6211\u4eec\u8bbe\u60f3\uff0c\u901a\u8fc7\u7ed3\u5408\u9488\u5bf9\u4e0d\u540c\u53ef\u89c2\u6d4b\u91cf\u7684\u4e00\u7cfb\u5217\u6da8\u843d\u754c\u9650\uff0c\u53ef\u4ee5\u5bf9\u6a21\u578b\u53c2\u6570\u65bd\u52a0\u6709\u7528\u7684\u7ea6\u675f\uff0c\u751a\u81f3\u53ef\u80fd\u6709\u52a9\u4e8e\u6a21\u578b\u9009\u62e9\u3002\u8fd9\u79cd\u6d1e\u5bdf\u5bf9\u4e8e\u63a8\u65ad\u7cbe\u786e\u5fae\u89c2\u673a\u5236\u5177\u6709\u6311\u6218\u6027\u7684\u751f\u7269\u7cfb\u7edf\u5c24\u5176\u6709\u4ef7\u503c\u3002<\/span><\/section>\n

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\u6240\u6709\u8fd9\u4e9b\u5de5\u4f5c\u4f7f\u7528\u591a\u79cd\u6280\u672f\u63a8\u5bfc\u51fa\u4e00\u7cfb\u5217\u5173\u7cfb\uff0c\u9002\u7528\u4e8e\u5404\u79cd\u4e0d\u540c\u573a\u666f\u3002\u8fd9\u79cd\u591a\u6837\u6027\u65e2\u4ee4\u4eba\u5174\u594b\uff0c\u4e5f\u5e26\u6765\u4e86\u6311\u6218\u3002\u4e8b\u5b9e\u4e0a\uff0c\u5f53\u524d\u72b6\u51b5\u8ba9\u4eba\u8054\u60f3\u5230\u6da8\u843d\u5173\u7cfb\u53d1\u5c55\u7684\u65e9\u671f\u9636\u6bb5\uff1a\u57fa\u4e8e\u4e0d\u540c\u7684\u7269\u7406\u5047\u8bbe\uff0c\u4eba\u4eec\u5bf9\u52a8\u529b\u5b66\u63d0\u51fa\u4e86\u8bb8\u591a\u770b\u4f3c\u4e0d\u540c\u7684\u9884\u6d4b\uff0c\u6bd4\u5982\u975e\u5e73\u8861\u7a33\u6001\u6da8\u843d\u4e0e\u6709\u9650\u65f6\u95f4\u505a\u529f\u534f\u8bae\u3002\u4f46\u540e\u6765\u4eba\u4eec\u8ba4\u8bc6\u5230\uff0c\u6240\u6709\u8fd9\u4e9b\u9884\u6d4b\u90fd\u662f\u540c\u4e00\u6da8\u843d\u5173\u7cfb\u7684\u53d8\u4f53\uff0c\u53ef\u4ee5\u5728\u4e00\u4e2a\u7edf\u4e00\u6846\u67b6\u5185\u8fdb\u884c\u89e3\u91ca\u3002\u4ece\u4e2d\u6211\u4eec\u5b66\u5230\uff0c\u666e\u904d\u7684\u70ed\u529b\u5b66\u539f\u7406\u5f80\u5f80\u4e0d\u592a\u4f9d\u8d56\u4e8e\u7cbe\u786e\u7684\u5efa\u6a21\u5047\u8bbe\u3002<\/strong><\/span><\/section>\n

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\u867d\u7136\u6211\u4eec\u5e76\u4e0d\u671f\u671b\u80fd\u6709\u4e00\u4e2a\u7edf\u4e00\u7684\u70ed\u529b\u5b66\u4e0d\u786e\u5b9a\u6027\u5173\u7cfb\uff0c\u4f46\u5e0c\u671b\u5efa\u7acb\u4e00\u4e2a\u6709\u7ec4\u7ec7\u7684\u4e0d\u7b49\u5f0f\u5c42\u7ea7\u7ed3\u6784\uff0c\u5e76\u660e\u786e\u754c\u5b9a\u5176\u9002\u7528\u8303\u56f4\u3002\u8fd9\u6837\u4e00\u5e45\u5e7f\u9614\u56fe\u666f\u5bf9\u4e8e\u4ece\u5b9e\u9a8c\u6d4b\u91cf\u4e2d\u63d0\u53d6\u4fe1\u606f\u5c24\u5176\u6709\u4ef7\u503c\uff0c\u56e0\u4e3a\u5b83\u5141\u8bb8\u6211\u4eec\u6839\u636e\u5bf9\u52a8\u529b\u5b66\u7684\u4efb\u4f55\u5177\u4f53\u77e5\u8bc6\uff0c\u5c06\u5404\u79cd\u5173\u7cfb\u6709\u673a\u6574\u5408\u8d77\u6765\u3002<\/span><\/section>\n

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\u975e\u5e73\u8861\u7edf\u8ba1\u70ed\u529b\u5b66\u6b63\u8fc5\u901f\u63ed\u793a\u9690\u85cf\u5728\u975e\u5e73\u8861\u7cfb\u7edf\u6da8\u843d\u4e2d\u7684\u70ed\u529b\u5b66\u8054\u7cfb\u548c\u5bf9\u79f0\u6027<\/span><\/strong>\u3002\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u63a2\u8ba8\u4e86\u5176\u4e2d\u4e00\u7c7b\u6700\u8fd1\u7684\u9884\u6d4b\u3002\u5c3d\u7ba1\u5c55\u671b\u672a\u6765\uff0c\u6211\u4eec\u4e0d\u7981\u671f\u671b\u80fd\u53d1\u73b0\u66f4\u591a\u7c7b\u4f3c\u7684\u6743\u8861\u5173\u7cfb\uff0c\u6765\u5b9a\u91cf\u63cf\u8ff0\u70ed\u529b\u5b66\u5982\u4f55\u51b3\u5b9a\u975e\u5e73\u8861\u7ed3\u6784\u548c\u529f\u80fd\u3002\u4f8b\u5982\uff0c\u5e73\u8861\u6001\u7edf\u8ba1\u7269\u7406\u5b66\u4e2d\u7684\u4e00\u4e2a\u7ecf\u5178\u4e3b\u9898\u662f\u6da8\u843d\u4e0e\u54cd\u5e94\u4e4b\u95f4\u7684\u8054\u7cfb\u3002TUR \u6559\u4f1a\u6211\u4eec\u5173\u4e8e\u67d0\u4e9b\u52a8\u6001\u6da8\u843d\u7684\u57fa\u672c\u975e\u5e73\u8861\u9650\u5236\uff0c\u8fd9\u81ea\u7136\u5f15\u51fa\u4e86\u7c7b\u4f3c\u7684\u7ea6\u675f\u662f\u5426\u4e5f\u9002\u7528\u4e8e\u52a8\u6001\u54cd\u5e94\u7684\u95ee\u9898[15,57]\u3002\u6211\u4eec\u9884\u8ba1\uff0c\u5173\u4e8e\u8fdc\u79bb\u5e73\u8861\u7684\u6da8\u843d\u548c\u54cd\u5e94\u4e4b\u95f4\u7684\u70ed\u529b\u5b66\u8054\u7cfb\uff0c\u8fd8\u6709\u66f4\u591a\u9700\u8981\u6211\u4eec\u53bb\u63a2\u7d22\u548c\u7406\u89e3\u7684\u9886\u57df\u3002<\/span><\/section>\n

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    Van den Broeck, C. & Esposito, M. Ensemble and trajectory thermodynamics: a brief introduction. Physica A <\/em>418, 6\u201316 (2015).<\/p>\n<\/li>\n

  2. \n

    Seifert, U. Stochastic thermodynamics, fuctuation theorems and molecular machines. Rep. Prog. Phys. <\/em>75, 126001 (2012).<\/p>\n<\/li>\n

  3. \n

    Jarzynski, C. Equalities and inequalities: irreversibility and the second law of thermodynamics at the nanoscale. Ann. Rev. Condens. Matter Phys. <\/em>2, 329\u2013351 (2011).<\/p>\n<\/li>\n

  4. \n

    Gingrich, T. R., Horowitz, J. M., Perunov, N. & England, J. L. Dissipation bounds all steady-state current fuctuations. Phys. Rev. Lett. <\/em>116, 120601 (2016).<\/p>\n<\/li>\n

  5. \n

    Pietzonka, P., Barato, A. C. & Seifert, U. Universal bound on the efciency of  molecular motors. J. Stat. Mech. Teor. Exp. <\/em>2016, 124004 (2016).<\/p>\n<\/li>\n

  6. \n

    Seifert, U. Stochastic thermodynamics: from principles to the cost of precision. Physica A <\/em>504, 176\u2013191 (2018).<\/p>\n<\/li>\n

  7. \n

    Hasegawa, Y. & Van Vu, T. Fluctuation theorem uncertainty relation. Phys. Rev. Lett. <\/em>123, 110602 (2019).<\/p>\n<\/li>\n

  8. \n

    Timpanaro, A. M., Guarnieri, G., Goold, J. & Landi, G. T. Termodynamic uncertainty relations from exchange fuctuation theorems. Phys. Rev. Lett. <\/em>123, 090604 (2019).<\/p>\n<\/li>\n

  9. \n

    Barato, A. C. & Seifert, U. Termodynamic uncertainty relation for biomolecular processes. Phys. Rev. Lett. <\/em>114, 158101 (2015).<\/p>\n<\/li>\n

  10. \n

    Proesmans, K. & Horowitz, J. M. Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry. J. Stat. Mech. Teor. Exp. <\/em>2019, 054005 (2019).<\/p>\n<\/li>\n

  11. \n

    Potts, P. P. & Samuelsson, P. Termodynamic uncertainty relations including measurement and feedback. Preprint at https:\/\/arxiv.org\/abs\/1904.04913 (2019).<\/p>\n<\/li>\n

  12. \n

    Di Terlizzi, I. & Baiesi, M. Kinetic uncertainty relation. J. Phys. A <\/em>52, 02LT03 (2018).<\/p>\n<\/li>\n

  13. \n

    Garrahan, J. P. Simple bounds on fuctuations and uncertainty relations for frst-passage times of counting observables. Phys. Rev. E <\/em>95, 032134 (2017).<\/p>\n<\/li>\n

  14. \n

    Gingrich, T. R. & Horowitz, J. M. Fundamental bounds on frst passage time fuctuations for currents. Phys. Rev. Lett. <\/em>119, 170601 (2017).<\/p>\n<\/li>\n

  15. \n

    Guioth, J. & Lacoste, D. Termodynamic bounds on equilibrium fuctuations of a global or local order parameter. Europhys. Lett. <\/em>115, 60007 (2016).<\/p>\n<\/li>\n

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    Barato, A. C., Chetrite, R., Faggionato, A. & Gabrielli, D. Bounds on current fuctuations in periodically driven systems. New J. Phys. <\/em>20, 103023 (2018).<\/p>\n<\/li>\n

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    Barato, A. C., Chetrite, R., Faggionato, A. & Gabrielli, D. A unifying picture of generalized thermodynamic uncertainty relations. J. Stat. Mech. Theor. Exp. <\/em>2019, 084017 (2019).<\/p>\n<\/li>\n

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    Koyuk, T., Seifert, U. & Pietzonka, P. A generalization of the thermodynamic uncertainty relation to periodically driven systems. J. Phys. A <\/em>52, 02LT02 (2018).<\/p>\n<\/li>\n

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    Owen, J. A., Gingrich, T. R. & Horowitz, J. M. Universal thermodynamic bounds on nonequilibrium response with biochemical applications. Preprint at https:\/\/arxiv.org\/abs\/1905.07449 (2019).<\/p>\n<\/li>\n<\/ol>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

    \n
    \n

    \uff08\u53c2\u8003\u6587\u732e\u53ef\u4e0a\u4e0b\u6ed1\u52a8<\/strong>\u67e5\u770b\uff09<\/p>\n<\/section>\n<\/section>\n


    <\/p>\n


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    \u975e\u5e73\u8861\u7edf\u8ba1\u7269\u7406\u8bfb\u4e66\u4f1a\u542f\u52a8\uff01<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


    <\/section>\n

    2024\u5e74\u8bfa\u8d1d\u5c14\u7269\u7406\u5b66\u5956\u6388\u4e88\u4eba\u5de5\u795e\u7ecf\u7f51\u7edc\uff0c\u8fd9\u662f\u4e00\u573a\u7edf\u8ba1\u7269\u7406\u5f15\u53d1\u7684\u673a\u5668\u5b66\u4e60\u9769\u547d\u3002\u7edf\u8ba1\u7269\u7406\u5b66\u4e0d\u4ec5\u80fd\u89e3\u91ca\u70ed\u5b66\u73b0\u8c61\uff0c\u8fd8\u80fd\u5e2e\u52a9\u6211\u4eec\u7406\u89e3\u4ece\u5fae\u89c2\u7c92\u5b50\u5230\u5b8f\u89c2\u5b87\u5b99\u7684\u5404\u4e2a\u5c42\u7ea7\u5982\u4f55\u8054\u7cfb\u8d77\u6765\uff0c\u590d\u6742\u73b0\u8c61\u5982\u4f55\u6d8c\u73b0\u3002\u5b83\u901a\u8fc7\u7814\u7a76\u5927\u91cf\u7c92\u5b50\u7684\u96c6\u4f53\u884c\u4e3a\uff0c\u6210\u529f\u5730\u5c06\u5fae\u89c2\u4e16\u754c\u7684\u968f\u673a\u6027\u4e0e\u5b8f\u89c2\u4e16\u754c\u7684\u786e\u5b9a\u6027\u8054\u7cfb\u8d77\u6765\uff0c\u4e3a\u6211\u4eec\u7406\u89e3\u81ea\u7136\u754c\u63d0\u4f9b\u4e86\u5f3a\u5927\u7684\u5de5\u5177\uff0c\u4e5f\u4e3a\u673a\u5668\u5b66\u4e60\u548c\u4eba\u5de5\u667a\u80fd\u9886\u57df\u7684\u53d1\u5c55\u63d0\u4f9b\u4e86\u91cd\u8981\u63a8\u52a8\u529b\u3002<\/span><\/p>\n


    <\/span><\/p>\n

    \u4e3a\u4e86\u6df1\u5165\u63a2\u7d22\u7edf\u8ba1\u7269\u7406\u524d\u6cbf\u8fdb\u5c55\uff0c\u96c6\u667a\u4ff1\u4e50\u90e8\u8054\u5408\u897f\u6e56\u5927\u5b66\u7406\u5b66\u9662\u53ca\u4ea4\u53c9\u79d1\u5b66\u4e2d\u5fc3\u8bb2\u5e2d\u6559\u6388\u6c64\u96f7\u7ff0\u3001\u7ebd\u7ea6\u5dde\u7acb\u5927\u5b66\u77f3\u6eaa\u5206\u6821\u5316\u5b66\u548c\u7269\u7406\u5b66\u7cfb\u6559\u6388\u6c6a\u52b2\u3001\u5fb7\u7d2f\u65af\u987f\u7cfb\u7edf\u751f\u7269\u5b66\u4e2d\u5fc3\u535a\u58eb\u540e\u7814\u7a76\u5458\u6881\u5e08\u7fce\u3001\u9999\u6e2f\u6d78\u4f1a\u5927\u5b66\u7269\u7406\u7cfb\u52a9\u7406\u6559\u6388\u5510\u4e7e\u5143\uff0c\u4ee5\u53ca\u591a\u4f4d\u56fd\u5185\u5916\u77e5\u540d\u5b66\u8005\u5171\u540c\u53d1\u8d77\u300c\u975e\u5e73\u8861\u7edf\u8ba1\u7269\u7406\u300d\u8bfb\u4e66\u4f1a<\/a>\u3002\u8bfb\u4e66\u4f1a\u65e8\u5728\u63a2\u8ba8\u7edf\u8ba1\u7269\u7406\u5b66\u7684\u6700\u65b0\u7406\u8bba\u7a81\u7834\uff0c\u7edf\u8ba1\u7269\u7406\u5728\u590d\u6742\u7cfb\u7edf\u548c\u751f\u547d\u79d1\u5b66\u4e2d\u7684\u5e94\u7528\uff0c\u4ee5\u53ca\u4e0e\u673a\u5668\u5b66\u4e60\u7b49\u524d\u6cbf\u9886\u57df\u7684\u4ea4\u53c9\u7814\u7a76\u3002\u8bfb\u4e66\u4f1a\u4ece12\u670812\u65e5\u5f00\u59cb\uff0c\u6bcf\u5468\u56db\u665a20:00-22:00\u8fdb\u884c\uff0c\u6301\u7eed\u65f6\u95f4\u9884\u8ba112\u5468\u3002\u6211\u4eec\u8bda\u631a\u9080\u8bf7\u5404\u4f4d\u670b\u53cb\u53c2\u4e0e\u8ba8\u8bba\u4ea4\u6d41\uff0c\u4e00\u8d77\u63a2\u7d22\u7231\u56e0\u65af\u5766\u773c\u4e2d\u7684\u666e\u9002\u7406\u8bba\uff01<\/span><\/span><\/p>\n


    <\/section>\n
    <\/span><\/a><\/section>\n

    <\/span><\/section>\n

    \u8be6\u60c5\u8bf7\u89c1\uff1a<\/span>\u4ece\u70ed\u529b\u5b66\u3001\u751f\u547d\u5230\u4eba\u5de5\u667a\u80fd\u7684\u7edf\u8ba1\u7269\u7406\u4e4b\u8def\uff1a\u975e\u5e73\u8861\u7edf\u8ba1\u7269\u7406\u8bfb\u4e66\u4f1a\u542f\u52a8\uff01<\/a><\/span><\/p>\n


    <\/p>\n<\/section>\n

    \u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/strong><\/strong><\/p>\n

    <\/strong><\/section>\n
    1. <\/strong><\/strong><\/a>Nature Physics \u4fe1\u606f\u70ed\u529b\u5b66\u7ecf\u5178\u7efc\u8ff0\uff1a\u901a\u5f80\u4fe1\u606f\u7684\u7269\u7406\u672c\u8d28<\/a><\/strong><\/strong><\/span><\/section>\n
    2. <\/strong>2024\u5e74\u8bfa\u5956\u89e3\u8bfb\uff1a\u7edf\u8ba1\u7269\u7406\u3001\u4eba\u5de5\u667a\u80fd\u4e0e\u590d\u6742\u79d1\u5b66<\/a><\/strong><\/span><\/section>\n
    3. <\/strong>\u6c6a\u52b2\uff1a\u63cf\u8ff0\u751f\u7269\u7cfb\u7edf\u6d8c\u73b0\u884c\u4e3a\u7684\u666f\u89c2\u548c\u6d41\u7406\u8bba\u89c6\u89d2<\/a><\/strong><\/span><\/section>\n
    <\/span><\/section>\n
    4. <\/strong><\/span>\u5f20\u6c5f\uff1a\u7b2c\u4e09\u4ee3\u4eba\u5de5\u667a\u80fd\u6280\u672f\u57fa\u7840\u2014\u2014\u4ece\u53ef\u5fae\u5206\u7f16\u7a0b\u5230\u56e0\u679c\u63a8\u7406 | \u96c6\u667a\u5b66\u56ed\u5168\u65b0\u8bfe\u7a0b<\/a><\/strong><\/strong><\/span><\/section>\n
    <\/strong>5.<\/strong> \u9f99\u5e74\u5927\u8fd0\u8d77\uff0c\u5b66\u4e60\u6b63\u5f53\u65f6\uff01\u89e3\u9501\u96c6\u667a\u5168\u7ad9\u5185\u5bb9\uff0c\u5f00\u542f\u65b0\u5e74\u5b66\u4e60\u8ba1\u5212<\/a><\/strong><\/strong><\/strong><\/strong><\/span><\/strong><\/strong><\/section>\n

    6. <\/strong>\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/strong><\/span><\/a><\/p>\n


    <\/p>\n


    <\/p>\n

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

    <\/mp-style-type><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

    \u5bfc\u8bed \u5728\u5e73\u8861\u6001\u70ed\u529b\u5b66\u4e2d\uff0c\u6211\u4eec\u5f88\u6e05\u695a\u5730\u77e5\u9053\u7269\u7406\u7cfb\u7edf\u7684\u52a8\u6001\u6da8\u843d\u4e0e\u5176\u5230\u5468\u56f4\u73af\u5883\u7684\u80fd\u91cf\u8017\u6563\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u4f46\u662f\uff0c\u5bf9\u4e8e\u8fdc\u79bb\u5e73\u8861\u6001\u7684\u7269\u7406\u7cfb\u7edf\uff0c\u6211\u4eec\u7f3a\u4e4f\u540c\u6837\u7cbe\u786e\u7684\u5de5\u5177\u6765\u63cf\u8ff0\u8fd9\u79cd\u5173\u7cfb\u30022019\u5e74\u53d1\u8868\u5728 Nature Physics \u7684\u8fd9\u7bc7\u7ecf\u5178\u7efc\u8ff0\u5c31\u4e00\u7c7b\u65b0\u7684\u4e0d\u7b49\u5f0f\u2014\u2014\u70ed\u529b\u5b66\u4e0d\u786e\u5b9a\u6027\u5173\u7cfb\uff08Thermodynamic Unc…<\/p>\n","protected":false},"author":0,"featured_media":55260,"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\/55282"}],"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=55282"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/55282\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/55260"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=55282"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=55282"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=55282"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=55282"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}