{"id":53519,"date":"2024-11-14T21:07:58","date_gmt":"2024-11-14T13:07:58","guid":{"rendered":"https:\/\/swarma.org\/?p=53519"},"modified":"2024-11-14T21:07:58","modified_gmt":"2024-11-14T13:07:58","slug":"%e4%bb%8e%e7%83%ad%e5%8a%9b%e5%ad%a6%e3%80%81%e7%94%9f%e5%91%bd%e5%88%b0%e4%ba%ba%e5%b7%a5%e6%99%ba%e8%83%bd%e7%9a%84%e7%bb%9f%e8%ae%a1%e7%89%a9%e7%90%86%e4%b9%8b%e8%b7%af%ef%bc%9a%e9%9d%9e%e5%b9%b3","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=53519","title":{"rendered":"\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"},"content":{"rendered":"
\n
\n
\n
\n

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

\n
\n
\n
\n
\n
\n

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

\u5bfc\u8bed<\/strong><\/p>\n<\/section>\n<\/section>\n

\n

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

\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\u3002\u672c\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<\/strong><\/p>\n


<\/strong><\/p>\n

\u4e3a\u4ec0\u4e48\u795e\u7ecf\u7f51\u7edc\u80fd\u591f\u5b66\u4e60\uff1f\u4e3a\u4ec0\u4e48\u751f\u547d\u7cfb\u7edf\u80fd\u591f\u5b9e\u73b0\u81ea\u7ec4\u7ec7\u548c\u8fdb\u5316\uff1f\u4fe1\u606f\u5982\u4f55\u6210\u4e3a\u751f\u547d\u8fc7\u7a0b\u7684\u91cd\u8981\u7ec4\u6210\u90e8\u5206\uff1f\u4fe1\u606f\u548c\u80fd\u91cf\u4e4b\u95f4\u6709\u600e\u6837\u7684\u6df1\u523b\u5173\u7cfb\uff1f\u4ece\u5b8f\u89c2\u8fdb\u5165\u5fae\u89c2\uff0c\u70ed\u529b\u5b66\u5b9a\u5f8b\u4ecd\u7136\u4fdd\u6301\u4e0d\u53d8\u5417\uff1f\u4ece\u76f8\u53d8\u9884\u6d4b\u5230\u91cf\u5b50\u591a\u4f53\u7cfb\u7edf\u6a21\u62df\uff0c\u673a\u5668\u5b66\u4e60\u5982\u4f55\u6539\u53d8\u7edf\u8ba1\u7269\u7406\u7814\u7a76\uff1f\u4ece\u795e\u7ecf\u7f51\u7edc\u7684\u80fd\u91cf\u666f\u89c2\u5230\u6df1\u5ea6\u5b66\u4e60\u4e2d\u7684\u76f8\u53d8\u73b0\u8c61\uff0c\u7edf\u8ba1\u7269\u7406\u5b66\u4e3a\u7406\u89e3\u548c\u6539\u8fdb\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u63d0\u4f9b\u600e\u6837\u7684\u542f\u53d1\uff1f\u300c\u975e\u5e73\u8861\u7edf\u8ba1\u7269\u7406\u300d\u8bfb\u4e66\u4f1a\u5c06\u5e26\u9886\u5927\u5bb6\u4e00\u8d77\u63a2\u7d22\u8fd9\u4e9b\u6709\u8da3\u800c\u6df1\u523b\u7684\u95ee\u9898\u3002<\/strong>\u8bfb\u4e66\u4f1a\u8ba1\u5212\u4ece12\u670812\u65e5\u5f00\u59cb\uff0c\u6bcf\u5468\u56db\u665a19:00-21:00\u8fdb\u884c\uff0c\u6301\u7eed\u65f6\u95f4\u9884\u8ba112\u5468\u3002\u65e0\u8bba\u4f60\u662f\u81f4\u529b\u4e8e\u7a81\u7834 AI \u7b97\u6cd5\u74f6\u9888\u7684\u7814\u7a76\u8005\uff0c\u63a2\u7d22\u751f\u547d\u5965\u79d8\u7684\u79d1\u5b66\u5de5\u4f5c\u8005\uff0c\u8fd8\u662f\u5bf9\u590d\u6742\u7cfb\u7edf\u6ee1\u6000\u597d\u5947\u7684\u63a2\u7d22\u8005\uff0c\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<\/strong><\/p>\n<\/section>\n

<\/strong><\/strong><\/section>\n
<\/strong><\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n
\n
\n
\n
<\/svg><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n
\n
<\/section>\n<\/section>\n

<\/section>\n

<\/h1>\n

\n
\n
\n
\n
\n

<\/section>\n

<\/section>\n
\n
<\/svg><\/section>\n<\/section>\n<\/section>\n
\n

\u80cc\u666f\u7b80\u4ecb<\/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

2024\u5e74\u8bfa\u8d1d\u5c14\u7269\u7406\u5b66\u5956<\/a>\u6388\u4e88 John Hopfield \u548c Geoffrey Hinton\uff0c\u8868\u5f70\u4ed6\u4eec\u201c\u901a\u8fc7\u4eba\u5de5\u795e\u7ecf\u7f51\u7edc\u5b9e\u73b0\u673a\u5668\u5b66\u4e60\u7684\u57fa\u7840\u6027\u53d1\u73b0\u548c\u53d1\u660e\u201d\uff0c\u4eba\u5de5\u795e\u7ecf\u7f51\u7edc\u53ef\u4ee5\u8bf4\u662f\u7edf\u8ba1\u7269\u7406\u5f15\u53d1\u7684\u673a\u5668\u5b66\u4e60\u9769\u547d\u3002<\/span>\u7edf\u8ba1\u7269\u7406\u4e0e\u673a\u5668\u5b66\u4e60\u4e24\u8005\u4e4b\u95f4\u76f8\u4e92\u4fc3\u8fdb\uff1a<\/span>\u4ece\u76f8\u53d8\u9884\u6d4b\u5230\u91cf\u5b50\u591a\u4f53\u7cfb\u7edf\u6a21\u62df\uff0c\u673a\u5668\u5b66\u4e60\u6df1\u523b\u5730\u6539\u53d8\u4e86\u7edf\u8ba1\u7269\u7406\u7814\u7a76\uff1b<\/span>\u4ece\u795e\u7ecf\u7f51\u7edc\u7684\u80fd\u91cf\u666f\u89c2\u5230\u6df1\u5ea6\u5b66\u4e60\u4e2d\u7684\u76f8\u53d8\u73b0\u8c61\uff0c\u7edf\u8ba1\u7269\u7406\u5b66\u5219\u4e3a\u7406\u89e3\u548c\u6539\u8fdb\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u63d0\u4f9b\u4e86\u72ec\u7279\u7684\u89c6\u89d2\u3002<\/span><\/span><\/p>\n


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

\u7231\u56e0\u65af\u5766\u66fe\u8fd9\u6837\u8bc4\u4ef7\u70ed\u529b\u5b66\uff08\u7edf\u8ba1\u7269\u7406\u5b66\uff09\uff1a\u201c\u5b83\u662f\u552f\u4e00\u4e00\u4e2a\u5177\u6709\u666e\u9002\u6027\u7684\u7269\u7406\u7406\u8bba\uff0c\u6211\u786e\u4fe1\uff0c\u5728\u5176\u57fa\u672c\u6982\u5ff5\u7684\u9002\u7528\u8303\u56f4\u5185\uff0c\u5b83\u6c38\u8fdc\u4e0d\u4f1a\u88ab\u63a8\u7ffb\u3002\u201d\u8fd9\u4e00\u8bc4\u4ef7\u6df1\u523b\u63ed\u793a\u4e86\u70ed\u529b\u5b66\u548c\u7edf\u8ba1\u7269\u7406\u5728\u5b9a\u91cf\u63cf\u8ff0\u7cfb\u7edf\u5b8f\u89c2\u7279\u6027\u53ca\u4e0e\u73af\u5883\u4e92\u52a8\u4e2d\u7684\u6838\u5fc3\u5730\u4f4d\u3002<\/span><\/p>\n


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

\u7edf\u8ba1\u7269\u7406\u5b66\u8bde\u751f\u4e8e19\u4e16\u7eaa\uff0c\u662f\u4e3a\u4e86\u89e3\u91ca\u70ed\u73b0\u8c61\u800c\u53d1\u5c55\u8d77\u6765\u7684\u7269\u7406\u5b66\u5206\u652f\u3002<\/span>\u5b83\u901a\u8fc7\u7814\u7a76\u5927\u91cf\u7c92\u5b50\u7684\u96c6\u4f53\u884c\u4e3a\uff0c\u6210\u529f\u5730\u5728\u5fae\u89c2\u4e16\u754c\u7684\u968f\u673a\u6027\u4e0e\u5b8f\u89c2\u4e16\u754c\u7684\u786e\u5b9a\u6027\u4e4b\u95f4\u67b6\u8d77\u6865\u6881\uff0c<\/span><\/span>\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\u7684\u73b0\u8c61\u5982\u4f55\u6d8c\u73b0\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>\u5728\u8fc7\u53bb\u51e0\u5341\u5e74\u91cc\uff0c\u7edf\u8ba1\u7269\u7406\u5b66\u7684\u5e94\u7528\u8303\u56f4\u5df2\u7ecf\u8fdc\u8fdc\u8d85\u51fa\u4e86\u5176\u6700\u521d\u7684\u9886\u57df\uff1a<\/span><\/p>\n


<\/span><\/section>\n
    \n
  1. \n
    \u5728\u7406\u8bba\u524d\u6cbf<\/strong>\uff0c\u7814\u7a76\u8005\u4eec\u6b63\u5728\u91cd\u65b0\u5ba1\u89c6\u7ecf\u5178\u70ed\u529b\u5b66\uff0c\u7528\u73b0\u4ee3\u7684\u89c6\u89d2\u6765\u7406\u89e3\u548c\u6269\u5c55\u4f20\u7edf\u6982\u5ff5\uff0c\u5c06\u7edf\u8ba1\u7269\u7406\u4ece\u5b8f\u89c2\u7684\u89c2\u6d4b\u91cf\u6269\u5c55\u5230\u4ecb\u89c2\u6da8\u843d\u7684\u7edf\u8ba1\uff0c\u4ee5\u53ca\u66f4\u5c0f\u5c3a\u5ea6\u7684\u91cf\u5b50\u7edf\u8ba1\u7269\u7406\u3002<\/span><\/section>\n<\/li>\n
  2. \n
    \u5728\u751f\u547d\u79d1\u5b66<\/strong>\u9886\u57df\uff0c\u7edf\u8ba1\u7269\u7406\u5b66\u4e3a\u7406\u89e3\u590d\u6742\u7684\u751f\u7269\u8fc7\u7a0b\u63d0\u4f9b\u4e86\u65b0\u7684\u89c6\u89d2\u3002\u4ece\u7ec6\u80de\u5185\u7684\u5206\u5b50\u9a6c\u8fbe\u5230\u5927\u8111\u795e\u7ecf\u7f51\u7edc\uff0c\u7edf\u8ba1\u7269\u7406\u65b9\u6cd5\u6b63\u5728\u5e2e\u52a9\u6211\u4eec\u63ed\u793a\u751f\u547d\u7684\u57fa\u672c\u89c4\u5f8b\u3002<\/span><\/section>\n<\/li>\n
  3. \n
    \u5728\u4ea4\u53c9\u5b66\u79d1<\/strong>\u65b9\u9762\uff0c\u7edf\u8ba1\u7269\u7406\u5b66\u4e0e\u673a\u5668\u5b66\u4e60\u7684\u7ed3\u5408\u6b63\u5728\u5f00\u8f9f\u65b0\u7684\u7814\u7a76\u65b9\u5411\u3002\u7edf\u8ba1\u7269\u7406\u5b66\u7684\u539f\u7406\u88ab\u7528\u6765\u7406\u89e3\u6df1\u5ea6\u5b66\u4e60\u7684\u5de5\u4f5c\u673a\u5236\uff0c\u800c\u673a\u5668\u5b66\u4e60\u6280\u672f\u4e5f\u88ab\u5e94\u7528\u4e8e\u89e3\u51b3\u590d\u6742\u7684\u7269\u7406\u95ee\u9898\u3002<\/span><\/section>\n<\/li>\n<\/ol>\n

    <\/span><\/section>\n
    \u672c\u5b63\u8bfb\u4e66\u4f1a\u5c06\u91cd\u70b9\u5173\u6ce8\u4ee5\u4e0a\u4e09\u4e2a\u65b9\u5411\u7684\u6700\u65b0\u8fdb\u5c55\uff0c\u65e8\u5728\u4e3a\u53c2\u4e0e\u7684\u793e\u533a\u6210\u5458\u63d0\u4f9b\u4e00\u4e2a\u5168\u9762\u800c\u6df1\u5165\u7684\u5b66\u4e60\u548c\u8ba8\u8bba\u5e73\u53f0\u3002<\/span><\/section>\n

    <\/section>\n

    <\/section>\n

    \n
    \n
    \n
    \n
    \n

    <\/section>\n

    <\/section>\n
    \n
    <\/svg><\/section>\n<\/section>\n<\/section>\n
    \n

    \u8bfb\u4e66\u4f1a\u5927\u7eb2<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

    \n

    <\/section>\n

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

    <\/section>\n
    \u6b64\u6b21\u8bfb\u4e66\u4f1a\u5c06\u9080\u8bf7\u8be5\u9886\u57df\u7684\u77e5\u540d\u5b66\u8005\u8fdb\u884c\u4e13\u9898\u62a5\u544a\u3002\u4e3b\u9898\u5305\u62ec\u975e\u5e73\u8861\u7edf\u8ba1\u7269\u7406\u524d\u6cbf\u7406\u8bba\u8fdb\u5c55\u3001\u751f\u547d\u548c\u70ed\u529b\u5b66\u3001\u7edf\u8ba1\u7269\u7406\u4e0e\u673a\u5668\u5b66\u4e60\u4ea4\u53c9\u4e09\u4e2a\u5927\u7684\u65b9\u5411\u3002\u7b2c\u4e00\u90e8\u5206\u524d\u6cbf\u7406\u8bba\u6db5\u76d6\u70ed\u673a\u4f18\u5316\u95ee\u9898\u3001\u6da8\u843d\u76f8\u5173\u7684\u70ed\u529b\u5b66\u3001\u53cd\u5e38\u70ed\u529b\u5b66\u73b0\u8c61\u3001\u4fe1\u606f\u89c6\u89d2\u4e0b\u7684\u70ed\u529b\u5b66\u3001\uff08\u4fe1\u606f\uff09\u51e0\u4f55\u89c6\u89d2\u4e0b\u7684\u70ed\u529b\u5b66\u3001\u70ed\u5316\u95ee\u9898\u7b49\u4e3b\u9898\uff1b\u7b2c\u4e8c\u90e8\u5206\u751f\u547d\u548c\u70ed\u529b\u5b66\u6db5\u76d6\u751f\u547d\u7cfb\u7edf\u7684\u666f\u89c2\u548c\u6d41\u7406\u8bba\u3001\u6d3b\u6027\u7269\u8d28\u4e0e\u81ea\u7ec4\u7ec7\u73b0\u8c61\u3001\u751f\u547d\u7684\u975e\u5e73\u8861\u6027\u8d28\u3001\u7edf\u8ba1\u7269\u7406\u4e0e\u79cd\u7fa4\u52a8\u529b\u5b66\u7b49\u4e3b\u9898\uff1b\u7b2c\u4e09\u90e8\u5206\u7edf\u8ba1\u7269\u7406\u4e0e\u673a\u5668\u5b66\u4e60\u4ea4\u53c9\u6db5\u76d6\u7528\u673a\u5668\u5b66\u4e60\u5904\u7406\u7edf\u8ba1\u7269\u7406\u95ee\u9898\u3001\u7528\u7edf\u8ba1\u7269\u7406\u5904\u7406\u673a\u5668\u5b66\u4e60\u95ee\u9898\u7b49\u4e3b\u9898\u3002<\/span><\/section>\n

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

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

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

    \n
    \n
    \n
    \n
    \n

    <\/section>\n

    <\/section>\n
    \n
    <\/svg><\/section>\n<\/section>\n<\/section>\n
    \n

    \u53d1\u8d77\u4eba\u56e2\u961f<\/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

    <\/section>\n
    \u6c64\u96f7\u7ff0<\/strong>\uff0c\u897f\u6e56\u5927\u5b66\u7406\u5b66\u9662\u53ca\u4ea4\u53c9\u79d1\u5b66\u4e2d\u5fc3\u8bb2\u5e2d\u6559\u6388\u3002\u672c\u79d1\u6bd5\u4e1a\u4e8e\u4e2d\u56fd\u79d1\u6280\u5927\u5b66\uff0c1981\u5e74\u7ecf\u674e\u653f\u9053\u6559\u6388\u7ec4\u7ec7\u7684CUSPEA\u9879\u76ee\u8d74\u7f8e\u56fdCarnegie Mellon\u5927\u5b66\u8bfb\u7814\uff0c1987\u5e74\u83b7\u5f97\u7269\u7406\u5b66\u535a\u58eb\u5b66\u4f4d\u30021996\u5e74\u4efb\u804c\u82f1\u56fd\u5e1d\u56fd\u7406\u5de5\u5b66\u9662Blackett\u5b9e\u9a8c\u5ba4\u8bb2\u5e08\uff0c1997\u5e74\u52a0\u5165\u9999\u6e2f\u6d78\u4f1a\u5927\u5b66\u7269\u7406\u7cfb\uff0c\u5386\u4efb\u526f\u6559\u6388\u3001\u6559\u6388\u30022020-2024\u5e74\uff0c\u4ed6\u62c5\u4efb\u9999\u6e2f\u6d78\u4f1a\u5927\u5b66\u8ba1\u7b97\u548c\u7406\u8bba\u7814\u7a76\u6240\u4e3b\u4efb\u30022010-2020\u5e74\u671f\u95f4\uff0c\u4ed6\u5728\u5317\u4eac\u8ba1\u7b97\u79d1\u5b66\u7814\u7a76\u4e2d\u5fc3\u4e3b\u7ba1\u590d\u6742\u7cfb\u7edf\u7814\u7a76\u90e8\u30022024\u5e74\u53d7\u8058\u4e8e\u897f\u6e56\u5927\u5b66\uff0c\u4efb\u7406\u5b66\u9662\u53ca\u4ea4\u53c9\u79d1\u5b66\u4e2d\u5fc3\u8bb2\u5e2d\u6559\u6388\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    <\/section>\n
    \u6c6a\u52b2<\/strong>\uff0c\u7ebd\u7ea6\u5dde\u7acb\u5927\u5b66\uff08SUNY\uff09\u77f3\u6eaa\u5206\u6821\u5316\u5b66\u548c\u7269\u7406\u5b66\u7cfb\u6559\u6388\uff0c1991\u5e74\u83b7\u5f97\u7f8e\u56fd\u4f0a\u5229\u8bfa\u4f0a\u5927\u5b66\u5929\u4f53\u7269\u7406\u535a\u58eb\u3002\u7814\u7a76\u5174\u8da3\u5305\u62ec\u751f\u7269\u5206\u5b50\u6298\u53e0\u7684\u673a\u5236\u3001\u5206\u5b50\u7f51\u7edc\u7684\u5e95\u5c42\u539f\u7406\u3001\u4ece\u666f\u89c2\u548c\u6d41\u7406\u8bba\u89c6\u89d2\u7814\u7a76\u7ecf\u5178\u548c\u91cf\u5b50\u975e\u5e73\u8861\u7edf\u8ba1\u7269\u7406\u3001\u590d\u6742\u73af\u5883\u4e2d\u7684\u53cd\u5e94\u52a8\u529b\u5b66\u7b49\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    <\/section>\n
    \u6881\u5e08\u7fce<\/strong>\uff0c\u5fb7\u7d2f\u65af\u987f\u7cfb\u7edf\u751f\u7269\u5b66\u4e2d\u5fc3\uff08CSBD\uff09 ELBE \u535a\u58eb\u540e\u7814\u7a76\u5458\u30022024\u5e74\u535a\u58eb\u6bd5\u4e1a\u4e8e\u745e\u58eb\u6d1b\u6851\u8054\u90a6\u7406\u5de5\u5b66\u9662\uff08EPFL\uff09\u3002\u4e3b\u8981\u7814\u7a76\u5174\u8da3\u662f\u7edf\u8ba1\u7269\u7406\u57fa\u7840\uff0c\u5c0f\u7cfb\u7edf\u968f\u673a\u70ed\u529b\u5b66\uff0c\u4ee5\u53ca\u975e\u5e73\u8861\u70ed\u529b\u5b66\u5728\u751f\u547d\u7b49\u590d\u6742\u73b0\u8c61\u4e2d\u7684\u5e94\u7528\u3002<\/span><\/section>\n
    \u4e2a\u4eba\u4e3b\u9875\uff1ahttps:\/\/shilingliang.com\/<\/span><\/section>\n

    <\/span><\/section>\n
    <\/section>\n
    \u5510\u4e7e\u5143<\/strong>\uff0c\u9999\u6e2f\u6d78\u4f1a\u5927\u5b66\u7269\u7406\u7cfb\u52a9\u7406\u6559\u6388\uff0c\u96c6\u667a\u79d1\u5b66\u5bb6\uff0c\u96c6\u667a-\u51ef\u98ce\u7814\u8bfb\u8425\u5b66\u8005\u3002\u5357\u4eac\u5927\u5b66\u7269\u7406\u5b66\u535a\u58eb\uff0c\u66fe\u662f\u662f\u65e5\u672c\u7406\u5316\u5b66\u7814\u7a76\u6240\u535a\u58eb\u540e\u3002\u7814\u7a76\u65b9\u5411\uff1a\u6570\u636e\u9a71\u52a8\u7684\u590d\u6742\u7cfb\u7edf\u7814\u7a76\uff1b\u751f\u7269\u533b\u5b66\u9886\u57df\u7684\u4eba\u5de5\u667a\u80fd\uff1b\u86cb\u767d\u8d28\u8fdb\u5316\u548c\u52a8\u529b\u5b66\uff1b\u751f\u7269\u7cfb\u7edf\u7684\u590d\u6742\u6027\u548c\u4e34\u754c\u6027\u3002<\/span><\/section>\n

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

    \u672c\u5b63\u8bfb\u4e66\u4f1a\u8fd0\u8425\u8d1f\u8d23\u4eba<\/strong><\/h1>\n

    \u6881\u91d1\uff0c\u96c6\u667a\u4ff1\u4e50\u90e8\u516c\u4f17\u53f7\u8d1f\u8d23\u4eba\uff0c<\/span>\u7edf\u8ba1\u7269\u7406\u7855\u58eb<\/span><\/span>\u3002<\/span>\u5174\u8da3\u9886\u57df\uff1a<\/span>\u7269\u7406\uff0c\u6d8c\u73b0\uff0c\u79d1\u666e\u5199\u4f5c\u3002<\/span><\/h1>\n


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


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

    \n
    \n
    \n
    \n
    \n

    <\/section>\n

    <\/section>\n
    \n
    <\/svg><\/section>\n<\/section>\n<\/section>\n
    \n

    \u62a5\u540d\u53c2\u4e0e\u8bfb\u4e66\u4f1a<\/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

    \u8fd0\u884c\u6a21\u5f0f<\/strong><\/span><\/h3>\n
    \u4ece2024\u5e7412\u670812\u65e5\u5f00\u59cb\uff0c\u6bcf\u5468\u56db\u665a 19:00-21:00<\/strong>\uff0c\u6301\u7eed\u65f6\u95f4\u9884\u8ba112\u5468\u5de6\u53f3<\/span>\uff0c\u6309\u8bfb\u4e66\u4f1a\u6846\u67b6\u8bbe\u8ba1\uff0c\u6bcf\u5468\u8fdb\u884c\u7ebf\u4e0a\u4f1a\u8bae\uff0c\u4e0e\u4e3b\u8bb2\u4eba\u7b49\u793e\u533a\u6210\u5458\u5f53\u9762\u4ea4\u6d41\uff0c\u4f1a\u540e\u53ef\u4ee5\u83b7\u5f97\u89c6\u9891\u56de\u653e\u6301\u7eed\u5b66\u4e60\u3002<\/span><\/section>\n


    <\/strong><\/span><\/h1>\n

    \u62a5\u540d\u65b9\u5f0f<\/strong><\/span><\/h1>\n
    \u7b2c\u4e00\u6b65\uff1a\u626b\u7801\u586b\u5199\u62a5\u540d\u4fe1\u606f\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    <\/section>\n
    \u626b\u7801\u62a5\u540d\uff08\u53ef\u5f00\u53d1\u7968\uff09<\/span><\/section>\n

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

    \u7b2c\u4e8c\u6b65\uff1a\u586b\u5199\u4fe1\u606f\u540e\uff0c\u4ed8\u8d39\u62a5\u540d\u3002\u5982\u9700\u7528\u652f\u4ed8\u5b9d\u652f\u4ed8\uff0c\u8bf7\u5728PC\u7aef\u8fdb\u5165\u8bfb\u4e66\u4f1a\u9875\u9762\u62a5\u540d\u652f\u4ed8\uff1a<\/span>https:\/\/pattern.swarma.org\/study_group\/54<\/span><\/p>\n

    \u7b2c\u4e09\u6b65\uff1a\u6dfb\u52a0\u8fd0\u8425\u8d1f\u8d23\u4eba\u5fae\u4fe1\uff0c\u83b7\u53d6\u6240\u6709\u63a8\u8350\u8bba\u6587\u8d44\u6e90\u5305\uff0c\u62c9\u5165\u5bf9\u5e94\u4e3b\u9898\u7684\u8bfb\u4e66\u4f1a\u793e\u533a\uff08\u5fae\u4fe1\u7fa4\uff09\u3002<\/span><\/p>\n

    PS\uff1a\u4e3a\u786e\u4fdd\u4e13\u4e1a\u6027\u548c\u8ba8\u8bba\u7684\u805a\u7126\uff0c\u672c\u8bfb\u4e66\u4f1a\u8c22\u7edd\u8131\u79bb\u8bfb\u4e66\u4f1a\u4e3b\u9898\u548c\u590d\u6742\u79d1\u5b66\u95ee\u9898\u672c\u8eab\u7684\u7a7a\u6cdb\u7684\u54f2\u5b66\u548c\u601d\u8fa8\u5f0f\u8ba8\u8bba\uff1b\u5982\u679c\u51fa\u73b0\u8ba8\u8bba\u5185\u5bb9\u4e0d\u7b26\u5408\u8981\u6c42\u3001\u7ecf\u63d0\u9192\u65e0\u6548\u8005\uff0c\u4f1a\u88ab\u79fb\u9664\u7fa4\u804a\u5e76\u5bf9\u672a\u53c2\u4e0e\u90e8\u5206\u9000\u8d39\u3002<\/span><\/em><\/strong><\/section>\n


    <\/span><\/h3>\n

    \u52a0\u5165\u793e\u533a\u540e\u53ef\u4ee5\u83b7\u5f97\u7684\u8d44\u6e90\uff1a<\/strong><\/span><\/h3>\n

    \u5b8c\u6574\u6743\u9650\uff0c\u5305\u62ec<\/span>\u7ebf\u4e0a\u95ee\u7b54\u3001\u5f55\u64ad\u56de\u770b\u3001\u8d44\u6599\u5171\u4eab\u3001\u793e\u7fa4\u4ea4\u6d41\u3001\u4fe1\u606f\u540c\u6b65\u3001\u5171\u521b\u4efb\u52a1\u83b7\u53d6\u79ef\u5206\u7b49<\/strong>\u3002<\/span><\/p>\n

    <\/p>\n


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

    \u53c2\u4e0e\u5171\u521b\u4efb\u52a1\u83b7\u53d6\u79ef\u5206\uff0c\u5171\u5efa\u5b66\u672f\u793e\u533a\uff1a<\/span><\/strong><\/span><\/h3>\n

    \u8bfb\u4e66\u4f1a\u91c7\u7528\u5171\u5b66\u5171\u7814\u673a\u5236\uff0c\u6210\u5458\u901a\u8fc7\u5185\u5bb9\u5171\u521b\u83b7\u79ef\u5206\uff08\u5b57\u5e55\u4fee\u6539\u3001\u8bfb\u4e66\u4f1a\u7b14\u8bb0\u3001\u8bba\u6587\u901f\u9012\u3001\u516c\u4f17\u53f7\u6587\u7ae0\u3001\u96c6\u667a\u767e\u79d1\u3001\u8bba\u6587\u89e3\u8bfb\u7b49\u5171\u521b\u4efb\u52a1<\/strong>\uff09\uff0c\u79ef\u5206\u7b26\u5408\u6761\u4ef6\u5373\u53ef\u9000\u8d39\u3002\u53d1\u8d77\u4eba\u548c\u4e3b\u8bb2\u4eba\u540c\u6837\u9075\u5faa\u6b64\u673a\u5236\uff0c\u65e0\u989d\u5916\u91d1\u94b1\u6fc0\u52b1\u3002<\/span><\/p>\n

    <\/p>\n

    PS\uff1a\u5177\u4f53\u53c2\u4e0e\u65b9\u5f0f\u53ef\u4ee5\u52a0\u5165\u8bfb\u4e66\u4f1a\u540e\u67e5\u770b\u5bf9\u5e94\u7684\u5171\u521b\u4efb\u52a1\u5217\u8868\uff0c\u9886\u53d6\u4efb\u52a1\uff0c\u4e0e\u8fd0\u8425\u8d1f\u8d23\u4eba\u6c9f\u901a\u8be6\u60c5\uff0c\u4e0a\u8ff0\u89c4\u5219\u7684\u6700\u7ec8\u89e3\u91ca\u6743\u5f52\u96c6\u667a\u4ff1\u4e50\u90e8\u6240\u6709\u3002<\/span><\/section>\n


    <\/span><\/h1>\n

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

    \n
    \n
    \n
    \n
    \n

    <\/section>\n

    <\/section>\n
    \n
    <\/svg><\/section>\n<\/section>\n<\/section>\n
    \n

    \u8bfb\u4e66\u4f1a\u9605\u8bfb\u6750\u6599<\/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

    \u6a21\u5757\u4e00\uff1a\u524d\u6cbf\u7406\u8bba\u8fdb\u5c55<\/strong><\/span><\/h2>\n


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

    <\/section>\n

    <\/section>\n
      \n
    1. \n

      \u4f20\u7edf\u70ed\u529b\u5b66\u7684\u73b0\u4ee3\u5316\u89c6\u89d2\uff1a\u70ed\u673a\u4f18\u5316\u95ee\u9898<\/strong><\/span><\/h3>\n<\/li>\n<\/ol>\n
      \u5361\u8bfa\u5b9a\u7406\u544a\u8bc9\u6211\u4eec\uff0c\u6700\u5927\u6548\u7387\u610f\u5473\u7740\u96f6\u529f\u7387\u8f93\u51fa\uff08\u51c6\u9759\u6001\u64cd\u4f5c\uff09\u3002\u90a3\u4e48\uff0c\u5728\u73b0\u5b9e\u4e16\u754c\u4e2d\uff0c\u6211\u4eec\u5982\u4f55\u5728\u6548\u7387\u548c\u529f\u7387\u4e4b\u95f4\u627e\u5230\u5e73\u8861\uff1f\u8fd9\u4e2a\u4e3b\u9898\u5c06\u91cd\u65b0\u5ba1\u89c6\u8fd9\u4e2a\u53e4\u8001\u800c\u73b0\u4ee3\u7684\u95ee\u9898\uff0c\u63a2\u8ba8\u70ed\u673a\u4f18\u5316\u7684\u7406\u8bba\u6781\u9650\uff0c\u4ee5\u53ca\u8fd9\u4e9b\u7406\u8bba\u5982\u4f55\u6307\u5bfc\u6211\u4eec\u8bbe\u8ba1\u66f4\u597d\u7684\u80fd\u91cf\u8f6c\u6362\u7cfb\u7edf\u3002\u6211\u4eec\u5c06\u8ba8\u8bba\u73b0\u4ee3\u70ed\u529b\u5b66\u5982\u4f55\u91cd\u65b0\u8be0\u91ca\u548c\u6269\u5c55\u5361\u8bfa\u5faa\u73af\u7684\u6982\u5ff5\uff0c\u4ee5\u53ca\u5728\u6709\u9650\u65f6\u95f4\u5185\u6700\u5927\u5316\u70ed\u673a\u6548\u7387\u7684\u53ef\u80fd\u6027\u3002
      <\/span><\/section>\n
      [1] Curzon, F. L., & Ahlborn, B. (1975). Efficiency of a Carnot engine at maximum power output. American Journal of Physics<\/em>, 43<\/em>(1), 22\u201324. https:\/\/doi.org\/10.1119\/1.10023<\/span><\/section>\n

      \u8fd9\u7bc7\u6587\u7ae0\u9996\u6b21\u8003\u8651\u73b0\u5b9e\u4e2d\u70ed\u673a\u8fd0\u884c\u65f6\u95f4\u6709\u9650\u7684\u60c5\u51b5\uff0c\u63d0\u51fa\u4e86\u4e00\u4e2a\u91cd\u8981\u7684\u6548\u7387\u516c\u5f0f\uff0c\u5f00\u521b\u4e86\u66f4\u8d34\u8fd1\u5b9e\u9645\u7684\u70ed\u529b\u5b66\u7814\u7a76\u65b9\u5411\u3002<\/span><\/p>\n

      [2]Van den Broeck, C. (2005). Thermodynamic Efficiency at Maximum Power. Physical Review Letters<\/em>, 95<\/em>(19), 190602. https:\/\/doi.org\/10.1103\/PhysRevLett.95.190602<\/span><\/section>\n

      \u8bc1\u660e\u4e86\u5728\u67d0\u4e9b\u6761\u4ef6\u4e0b\uff08\u7ebf\u6027\u4e0d\u53ef\u9006\u533a\u95f4\uff09\uff0cCurzon\u548cAhlborn\u63d0\u51fa\u7684\u6548\u7387\u516c\u5f0f\u5177\u6709\u666e\u904d\u6027\u3002\u8fd9\u4e00\u53d1\u73b0\u5927\u5927\u589e\u5f3a\u4e86\u6211\u4eec\u5bf9\u70ed\u673a\u6548\u7387\u7684\u7406\u89e3\u3002<\/span><\/p>\n

      [3] Esposito, M., Kawai, R., Lindenberg, K., & Van den Broeck, C. (2010). Efficiency at Maximum Power of Low-Dissipation Carnot Engines. Physical Review Letters<\/em>, 105<\/em>(15), 150603. https:\/\/doi.org\/10.1103\/PhysRevLett.105.150603<\/span><\/section>\n

      \u6269\u5c55\u4e86\u4e4b\u524d\u7684\u7814\u7a76\uff0c\u8003\u8651\u4e86\u66f4\u5e7f\u6cdb\u7684\u70ed\u673a\u7c7b\u578b\uff0c\u5e2e\u52a9\u6211\u4eec\u66f4\u597d\u5730\u7406\u89e3\u4e0d\u540c\u7c7b\u578b\u70ed\u673a\u7684\u6548\u7387\u6781\u9650\u3002<\/span><\/p>\n

      [4] Tu, Z.-C. (2021). Abstract models for heat engines. Frontiers of Physics<\/em>, 16<\/em>, 1\u201312. https:\/\/doi.org\/10.1007\/s11467-020-1029-6<\/span><\/section>\n

      \u8fd9\u9879\u7814\u7a76\u5b8c\u6574\u7efc\u8ff0\u6982\u62ec\u4e86\u5404\u79cd\u7814\u7a76\u70ed\u673a\u95ee\u9898\u7684\u62bd\u8c61\u6a21\u578b\u3002<\/span><\/p>\n

      [5] Rolandi, A., Abiuso, P., & Perarnau-Llobet, M. (2023). Collective Advantages in Finite-Time Thermodynamics. Physical Review Letters<\/em>, 131<\/em>(21), 210401. https:\/\/doi.org\/10.1103\/PhysRevLett.131.210401<\/span><\/section>\n
      \u7814\u7a76\u4e86\u591a\u4e2a\u70ed\u673a\u540c\u65f6\u5de5\u4f5c\u65f6\u7684\u60c5\u51b5\uff0c\u53d1\u73b0\u5b83\u4eec\u53ef\u80fd\u6bd4\u5355\u4e2a\u70ed\u673a\u66f4\u6709\u6548\u7387\u3002\u8fd9\u9879\u7814\u7a76\u5bf9\u8bbe\u8ba1\u66f4\u9ad8\u6548\u7684\u80fd\u91cf\u7cfb\u7edf\u6709\u91cd\u8981\u542f\u793a\u3002<\/span><\/section>\n

      <\/span><\/section>\n
        \n
      1. \n

        \u6da8\u843d\u76f8\u5173\u7684\u70ed\u529b\u5b66\uff1a\u4ece\u5b8f\u89c2\u8d70\u5411\u5fae\u89c2<\/strong><\/span><\/h3>\n<\/li>\n<\/ol>\n

        \u5f53\u6211\u4eec\u628a\u76ee\u5149\u4ece\u5b8f\u89c2\u8f6c\u5411\u5fae\u89c2\uff0c\u70ed\u529b\u5b66\u5b9a\u5f8b\u8fd8\u80fd\u4fdd\u6301\u4e0d\u53d8\u5417\uff1f\u5728\u5206\u5b50\u9a6c\u8fbe\u548c\u7eb3\u7c73\u5668\u4ef6\u4e2d\uff0c\u6da8\u843d\u4e0d\u518d\u662f\u53ef\u4ee5\u5ffd\u7565\u7684\u201c\u566a\u97f3\u201d\uff0c\u800c\u6210\u4e86\u4e3b\u89d2\u3002\u6211\u4eec\u5c06\u63a2\u8ba8\u5982\u4f55\u5728\u8fd9\u4e2a\u65b0\u7684\u5c3a\u5ea6\u4e0a\u91cd\u65b0\u5b9a\u4e49\u70ed\u3001\u529f\u548c\u6548\u7387\u3002\u8fd9\u4e2a\u4e3b\u9898\u5c06\u6df1\u5165\u7814\u7a76\u6da8\u843d\u6548\u5e94\u5982\u4f55\u5f71\u54cd\u5fae\u89c2\u7cfb\u7edf\u7684\u70ed\u529b\u5b66\u884c\u4e3a\uff0c\u4ee5\u53ca\u662f\u5426\u5b58\u5728\u67d0\u79cd\u9002\u7528\u4e8e\u5fae\u89c2\u7cfb\u7edf\u7684\u201c\u6da8\u843d\u70ed\u529b\u5b66\u5b9a\u5f8b\u201d\u3002\u8fd9\u4e9b\u7814\u7a76\u4e0d\u4ec5\u5177\u6709\u7406\u8bba\u610f\u4e49\uff0c\u8fd8\u53ef\u80fd\u4e3a\u7eb3\u7c73\u6280\u672f\u548c\u5206\u5b50\u673a\u5668\u7684\u8bbe\u8ba1\u63d0\u4f9b\u91cd\u8981\u6307\u5bfc\u3002<\/span><\/p>\n

        [1] Jarzynski, C. (1997). Nonequilibrium equality for free energy differences. Physical Review Letters<\/em>, 78<\/em>(14), 2690\u20132693. https:\/\/doi.org\/10.1103\/PhysRevLett.78.2690<\/span><\/section>\n

        \u63d0\u51fa\u4e86\u4e00\u4e2a\u5212\u65f6\u4ee3\u7684\u516c\u5f0f\uff08Jarsynski \u7b49\u5f0f\uff09\uff0c\u8ba9\u6211\u4eec\u80fd\u591f\u901a\u8fc7\u6d4b\u91cf\u975e\u5e73\u8861\u8fc7\u7a0b\u6765\u83b7\u5f97\u5e73\u8861\u6001\u7684\u4fe1\u606f\u3002<\/span><\/p>\n

        [2] Crooks, G. E. (1998). Nonequilibrium Measurements of Free Energy Differences for Microscopically Reversible Markovian Systems. Journal of Statistical Physics<\/em>, 90<\/em>(5), 1481\u20131487. https:\/\/doi.org\/10.1023\/A:1023208217925<\/span><\/section>\n

        \u63d0\u51fa\u4e86\u4e00\u4e2a\u91cd\u8981\u516c\u5f0f\uff0c\u8ba9\u6211\u4eec\u80fd\u591f\u4ece\u5fae\u89c2\u7c92\u5b50\u7684\u8fd0\u52a8\u4e2d\u8ba1\u7b97\u51fa\u5b8f\u89c2\u7684\u70ed\u529b\u5b66\u91cf\u3002<\/span><\/p>\n

        [3] Esposito, M., & Van den Broeck, C. (2010). Three Detailed Fluctuation Theorems. Physical Review Letters<\/em>, 104<\/em>(9), 090601. https:\/\/doi.org\/10.1103\/PhysRevLett.104.090601<\/span><\/section>\n

        \u603b\u7ed3\u4e86\u4e09\u4e2a\u5173\u4e8e\u80fd\u91cf\u6da8\u843d\u7684\u91cd\u8981\u5b9a\u7406\uff0c\u5e2e\u52a9\u6211\u4eec\u66f4\u5168\u9762\u5730\u7406\u89e3\u5fae\u89c2\u4e16\u754c\u7684\u80fd\u91cf\u53d8\u5316\u89c4\u5f8b\u3002<\/span><\/p>\n

        [4] Falasco, G., & Esposito, M. (2023). Macroscopic Stochastic Thermodynamics<\/em> (No. arXiv:2307.12406). arXiv. https:\/\/doi.org\/10.48550\/arXiv.2307.12406<\/span><\/section>\n

        \u5c06\u5fae\u89c2\u4e16\u754c\u7684\u968f\u673a\u70ed\u529b\u5b66\u7406\u8bba\u63a8\u5e7f\u5230\u4e86\u5b8f\u89c2\u5c3a\u5ea6\uff0c\u5e2e\u52a9\u6211\u4eec\u7406\u89e3\u4ece\u7ec6\u80de\u5230\u6574\u4e2a\u751f\u6001\u7cfb\u7edf\u7684\u80fd\u91cf\u6d41\u52a8\u3002\u8fd9\u79cd\u7edf\u4e00\u7684\u7406\u8bba\u6846\u67b6\u5bf9\u8de8\u5c3a\u5ea6\u7684\u7cfb\u7edf\u7814\u7a76\u975e\u5e38\u91cd\u8981\u3002<\/span><\/p>\n

        [5] Barato, A. C., & Seifert, U. (2015). Thermodynamic Uncertainty Relation for Biomolecular Processes. Physical Review Letters<\/em>, 114<\/em>(15), 158101. https:\/\/doi.org\/10.1103\/PhysRevLett.114.158101<\/span><\/section>\n

        \u53d1\u73b0\u4e86\u751f\u7269\u5206\u5b50\u8fc7\u7a0b\u4e2d\u7684\u4e00\u4e2a\u666e\u904d\u89c4\u5f8b\u2014\u2014\u70ed\u529b\u5b66\u4e0d\u786e\u5b9a\u539f\u7406\uff08TUR\uff09\uff0c\u5e2e\u52a9\u6211\u4eec\u7406\u89e3\u4e3a\u4ec0\u4e48\u67d0\u4e9b\u751f\u7269\u8fc7\u7a0b\uff08\u5982\u7ec6\u80de\u5185\u7684\u5316\u5b66\u53cd\u5e94\uff09\u4f1a\u6709\u4e00\u5b9a\u7684\u4e0d\u786e\u5b9a\u6027\u3002<\/span><\/p>\n

        [6] Horowitz, J. M., & Gingrich, T. R. (2020). Thermodynamic uncertainty relations constrain non-equilibrium fluctuations. Nature Physics<\/em>, 16<\/em>(1), 15\u201320. https:\/\/doi.org\/10.1038\/s41567-019-0702-6<\/span><\/section>\n
        \u4e00\u7bc7\u5b8c\u6574\u6e05\u6670\u7684\u7efc\u8ff0\u6587\u7ae0\uff0c\u603b\u7ed3\u4e86\u70ed\u529b\u5b66\u4e0d\u786e\u5b9a\u6027\u539f\u7406\u7684\u4e3b\u8981\u7ed3\u8bba\u3002<\/span><\/section>\n

        <\/span><\/section>\n
          \n
        1. \n

          \u53cd\u5e38\u70ed\u529b\u5b66\u73b0\u8c61\uff1aMpemba \u6548\u5e94<\/strong><\/span><\/h3>\n<\/li>\n<\/ol>\n

          \u5728\u4e00\u4e9b\u7269\u7406\u7cfb\u7edf\u4e2d\uff0c\u6211\u4eec\u53d1\u73b0\u9ad8\u6e29\u72b6\u6001\u53cd\u800c\u6bd4\u4f4e\u6e29\u72b6\u6001\u66f4\u5feb\u51b7\u5374\u2014\u2014\u8fd9\u4e2a\u770b\u4f3c\u8fdd\u53cd\u76f4\u89c9\u7684\u73b0\u8c61\u80cc\u540e\u9690\u85cf\u7740\u4ec0\u4e48\u7269\u7406\u673a\u5236\uff1f\u5b83\u662f\u4e2a\u4f8b\u8fd8\u662f\u666e\u904d\u89c4\u5f8b\uff1f\u8fd9\u4e2a\u4e3b\u9898\u5c06\u6df1\u5165\u63a2\u8ba8 Mpemba \u6548\u5e94\uff0c\u6311\u6218\u6211\u4eec\u5bf9\u70ed\u529b\u5b66\u8fc7\u7a0b\u7684\u56fa\u6709\u8ba4\u77e5\u3002\u6211\u4eec\u5c06\u8ba8\u8bba\u8fd9\u79cd\u6548\u5e94\u5728\u5176\u4ed6\u7269\u7406\u7cfb\u7edf\u4e2d\u7684\u666e\u904d\u6027\uff0c\u4ee5\u53ca\u7814\u7a76\u53cd\u5e38\u70ed\u529b\u5b66\u73b0\u8c61\u5982\u4f55\u5e2e\u52a9\u6211\u4eec\u6df1\u5316\u5bf9\u70ed\u529b\u5b66\u8fc7\u7a0b\u7684\u7406\u89e3\u3002\u8fd9\u4e2a\u4e3b\u9898\u4e0d\u4ec5\u6d89\u53ca\u57fa\u7840\u7269\u7406\u95ee\u9898\uff0c\u8fd8\u53ef\u80fd\u542f\u53d1\u65b0\u7684\u6750\u6599\u5904\u7406\u548c\u5de5\u7a0b\u5e94\u7528\u3002<\/span><\/p>\n

          [1] Bechhoefer, J., Kumar, A., & Ch\u00e9trite, R. (2021). A fresh understanding of the Mpemba effect. Nature Reviews Physics<\/em>, 3<\/em>(8), 534\u2013535. https:\/\/doi.org\/10.1038\/s42254-021-00349-8<\/span><\/section>\n

          \u8fd9\u7bc7\u7efc\u8ff0\u6587\u7ae0\u6e05\u6670\u5730\u89e3\u91ca\u4e86 Mpemba \u6548\u5e94\u7684\u6700\u65b0\u7814\u7a76\u8fdb\u5c55\u3002<\/span><\/p>\n

          [2] Ib\u00e1\u00f1ez, M., Dieball, C., Lasanta, A., Godec, A., & Rica, R. A. (2024). Heating and cooling are fundamentally asymmetric and evolve along distinct pathways. Nature Physics<\/em>, 20<\/em>(1), 135\u2013141. https:\/\/doi.org\/10.1038\/s41567-023-02269-z<\/span><\/section>\n

          \u8fd9\u9879\u6700\u65b0\u7814\u7a76\u63ed\u793a\u4e86\u52a0\u70ed\u548c\u51b7\u5374\u8fc7\u7a0b\u7684\u6839\u672c\u4e0d\u540c\u3002<\/span><\/p>\n

          [3] Klich, I., Raz, O., Hirschberg, O., & Vucelja, M. (2019). Mpemba Index and Anomalous Relaxation. Physical Review X<\/em>, 9<\/em>(2), 021060. https:\/\/doi.org\/10.1103\/PhysRevX.9.021060<\/span><\/section>\n

          \u5f15\u5165\u4e86\u201cMpemba\u6307\u6570\u201d\u7684\u6982\u5ff5\uff0c\u5e2e\u52a9\u6211\u4eec\u91cf\u5316\u548c\u9884\u6d4b Mpemba \u6548\u5e94\u3002<\/span><\/p>\n

          [4] Lu, Z., & Raz, O. (2017). Nonequilibrium thermodynamics of the Markovian Mpemba effect and its inverse. Proceedings of the National Academy of Sciences<\/em>, 114<\/em>(20), 5083\u20135088. https:\/\/doi.org\/10.1073\/pnas.1701264114<\/span><\/section>\n

          \u9996\u6b21\u4e3a\u5fae\u89c2\u7cfb\u7edf\u7684\u7c7b\u4f3c\u4e8e Mpemba \u6548\u5e94\u63d0\u4f9b\u4e86\u4e00\u4e2a\u666e\u9002\u7684\u7406\u8bba\u6846\u67b6\u3002\u8fd9\u9879\u5de5\u4f5c\u8868\u660e\uff0cMpemba \u6548\u5e94\u4e0d\u4ec5\u9650\u4e8e\u6c34\uff0c\u8fd8\u53ef\u80fd\u5728\u5176\u4ed6\u7cfb\u7edf\u4e2d\u51fa\u73b0\u3002<\/span><\/p>\n

          [5] Teza, G., Yaacoby, R., & Raz, O. (2023). Relaxation Shortcuts through Boundary Coupling. Physical Review Letters<\/em>, 131<\/em>(1), 017101. https:\/\/doi.org\/10.1103\/PhysRevLett.131.017101<\/span><\/section>\n

          \u53d1\u73b0\u901a\u8fc7\u8fb9\u754c\u8026\u5408\u52a0\u901f\u7cfb\u7edf\u51b7\u5374\u7684\u65b9\u6cd5\uff0c\u4e3a Mpemba \u6548\u5e94\u7814\u7a76\u5f00\u8f9f\u65b0\u65b9\u5411\u3002<\/span><\/p>\n

          <\/section>\n

          <\/section>\n
            \n
          1. \n

            \u4fe1\u606f\u89c6\u89d2\u4e0b\u7684\u70ed\u529b\u5b66\uff1a\u9ea6\u514b\u65af\u97e6\u5996\u65b0\u89e3<\/strong><\/span><\/h3>\n<\/li>\n<\/ol>\n

            150\u5e74\u524d\uff0c\u9ea6\u514b\u65af\u97e6\u7528\u4e00\u4e2a\u601d\u60f3\u5b9e\u9a8c\u6311\u6218\u4e86\u70ed\u529b\u5b66\u7b2c\u4e8c\u5b9a\u5f8b\u3002\u4eca\u5929\uff0c\u6211\u4eec\u80fd\u5728\u5b9e\u9a8c\u5ba4\u91cc\u5b9e\u73b0\u8fd9\u4e2a\u201c\u5996\u7cbe\u201d\u5417\uff1f\u8fd9\u4e2a\u4e3b\u9898\u5c06\u63a2\u8ba8\u4fe1\u606f\u5904\u7406\u4e0e\u80fd\u91cf\u8f6c\u6362\u4e4b\u95f4\u7684\u6df1\u523b\u5173\u7cfb\u3002\u6211\u4eec\u5c06\u8ba8\u8bba\u8fd1\u671f\u5728\u5b9e\u9a8c\u4e2d\u5b9e\u73b0\u7c7b\u4f3c\u9ea6\u514b\u65af\u97e6\u5996\u7cfb\u7edf\u7684\u5c1d\u8bd5\uff0c\u4ee5\u53ca\u8fd9\u4e9b\u7814\u7a76\u5bf9\u6211\u4eec\u7406\u89e3\u4fe1\u606f\u548c\u80fd\u91cf\u4e4b\u95f4\u5173\u7cfb\u7684\u542f\u793a\u3002\u8fd9\u4e2a\u4e3b\u9898\u4e0d\u4ec5\u5173\u4e4e\u57fa\u7840\u7269\u7406\uff0c\u8fd8\u53ef\u80fd\u5f7b\u5e95\u6539\u53d8\u6211\u4eec\u5bf9\u8ba1\u7b97\u548c\u4fe1\u606f\u5904\u7406\u7684\u7406\u89e3\uff0c\u5bf9\u672a\u6765\u7684\u4fe1\u606f\u6280\u672f\u53d1\u5c55\u5177\u6709\u91cd\u8981\u610f\u4e49\u3002<\/span><\/p>\n

            [1] Barato, A. C., & Seifert, U. (2014). Unifying Three Perspectives on Information Processing in Stochastic Thermodynamics. Physical Review Letters<\/em>, 112<\/em>(9), 090601. https:\/\/doi.org\/10.1103\/PhysRevLett.112.090601<\/span><\/section>\n

            \u7edf\u4e00\u4e86\u968f\u673a\u70ed\u529b\u5b66\u4e2d\u4fe1\u606f\u5904\u7406\u7684\u4e09\u4e2a\u91cd\u8981\u89c6\u89d2\u3002\u8fd9\u9879\u5de5\u4f5c\u6df1\u5316\u4e86\u6211\u4eec\u5bf9\u4fe1\u606f\u5728\u7269\u7406\u8fc7\u7a0b\u4e2d\u4f5c\u7528\u7684\u7406\u89e3\uff0c\u4e3a\u8fdb\u4e00\u6b65\u63a2\u7d22\u4fe1\u606f\u4e0e\u80fd\u91cf\u7684\u5173\u7cfb\u5960\u5b9a\u4e86\u7406\u8bba\u57fa\u7840\u3002<\/span><\/p>\n

            [2] Esposito, M., & Van den Broeck, C. (2011). Second law and Landauer principle far from equilibrium. EPL (Europhysics Letters)<\/em>, 95<\/em>(4), 40004. https:\/\/doi.org\/10.1209\/0295-5075\/95\/40004<\/span><\/section>\n

            \u5c06\u5170\u9053\u5c14\u539f\u7406\u6269\u5c55\u5230\u975e\u5e73\u8861\u60c5\u51b5\uff0c\u62d3\u5c55\u4e86\u4fe1\u606f\u64e6\u9664\u70ed\u529b\u5b66\u4ee3\u4ef7\u7684\u7406\u8bba\u8303\u56f4\u3002<\/span><\/p>\n

            [3] Parrondo, J. M. R., Horowitz, J. M., & Sagawa, T. (2015). Thermodynamics of information. Nature Physics<\/em>, 11<\/em>(2), 131\u2013139. https:\/\/doi.org\/10.1038\/nphys3230<\/span><\/section>\n

            \u7efc\u8ff0\u4fe1\u606f\u70ed\u529b\u5b66\u53d1\u5c55\uff0c\u6e05\u6670\u5c55\u793a\u4e86\u4fe1\u606f\u5728\u7269\u7406\u5b66\u4e2d\u7684\u57fa\u672c\u5730\u4f4d\u3002<\/span><\/p>\n

            [4] Sagawa, T., & Ueda, M. (2009). Minimal Energy Cost for Thermodynamic Information Processing: Measurement and Information Erasure. Physical Review Letters<\/em>, 102<\/em>(25), 250602. https:\/\/doi.org\/10.1103\/PhysRevLett.102.250602<\/span><\/section>\n

            \u63a2\u8ba8\u4e86\u4fe1\u606f\u5904\u7406\u7684\u6700\u5c0f\u80fd\u91cf\u6210\u672c\uff0c\u5398\u6e05\u4e86\u6d4b\u91cf\u548c\u4fe1\u606f\u64e6\u9664\u7684\u57fa\u672c\u7269\u7406\u9650\u5236\u3002<\/span><\/p>\n

            [5] Yan, L.-L., Bu, J.-T., Zeng, Q., Zhang, K., Cui, K.-F., Zhou, F., Su, S.-L., Chen, L., Wang, J., Chen, G., & Feng, M. (2024). Experimental Verification of Demon-Involved Fluctuation Theorems. Physical Review Letters<\/em>, 133<\/em>(9), 090402. https:\/\/doi.org\/10.1103\/PhysRevLett.133.090402<\/span><\/section>\n

            \u5b9e\u9a8c\u9a8c\u8bc1\u6d89\u53ca Maxwell \u5996\u7684\u6da8\u843d\u5b9a\u7406\uff0c\u5c06\u7406\u8bba\u4e0e\u5b9e\u9a8c\u89c2\u5bdf\u7ed3\u5408\u3002<\/span><\/p>\n

            [6] Zeng, Q., & Wang, J. (2021). New fluctuation theorems on Maxwell\u2019s demon. Science Advances<\/em>, 7<\/em>(23), eabf1807. https:\/\/doi.org\/10.1126\/sciadv.abf1807<\/span><\/section>\n
            \u63d0\u51fa Maxwell \u5996\u7684\u65b0\u6da8\u843d\u5b9a\u7406\uff0c\u62d3\u5c55\u4e86\u4fe1\u606f\u5728\u70ed\u529b\u5b66\u8fc7\u7a0b\u4e2d\u4f5c\u7528\u7684\u7406\u8bba\u6846\u67b6\u3002<\/span><\/section>\n

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

            \u76f8\u5173\u6587\u7ae0\uff1a<\/span><\/strong><\/span><\/p>\n

            \u56f0\u6270\u70ed\u529b\u5b66\u7684\u4e09\u4e2a\u5996\u7cbe<\/a>
            <\/span><\/section>\n
            \u70ed\u529b\u5b66\u600e\u6837\u7406\u89e3\u751f\u547d\uff1a\u71b5\u3001\u4fe1\u606f\u3001\u81ea\u7531\u80fd\u548c\u590d\u6742\u6027\u7684\u6a21\u7cca\u56fe\u666f<\/a>
            <\/span><\/section>\n
            \u4ece\u9ea6\u514b\u65af\u97e6\u5996\u5230\u91cf\u5b50\u751f\u7269\u5b66\uff0c\u751f\u547d\u7269\u8d28\u4e2d\u662f\u5426\u6f5c\u85cf\u7740\u65b0\u7269\u7406\u5b66\uff1f<\/a>
            <\/span><\/section>\n
            \u751f\u7269\u9ea6\u514b\u65af\u97e6\u5996\uff1a\u751f\u547d\u5982\u4f55\u5229\u7528\u4fe1\u606f\u4ea7\u751f\u79e9\u5e8f<\/a><\/span><\/section>\n
            \u590d\u6742\u7cfb\u7edf\u7684\u5185\u90e8\u7ed3\u6784\u5982\u4f55\u5f71\u54cd\u4fe1\u606f\u70ed\u529b\u5b66\uff1f<\/a><\/section>\n

            <\/span><\/section>\n
              \n
            1. \n

              \uff08\u4fe1\u606f\uff09\u51e0\u4f55\u89c6\u89d2\u4e0b\u7684\u70ed\u529b\u5b66<\/strong><\/span><\/h3>\n<\/li>\n<\/ol>\n

              \u8fd9\u4e00\u4e3b\u9898\u5c06\u4ecb\u7ecd\u5982\u4f55\u7528\u51e0\u4f55\u5b66\u7684\u65b9\u6cd5\u6765\u7406\u89e3\u70ed\u529b\u5b66\u8fc7\u7a0b\u3002\u6211\u4eec\u5c06\u63a2\u8ba8\u70ed\u529b\u5b66\u72b6\u6001\u7a7a\u95f4\u7684\u51e0\u4f55\u7ed3\u6784\uff0c\u4ee5\u53ca\u5982\u4f55\u5229\u7528\u8fd9\u79cd\u51e0\u4f55\u89c6\u89d2\u6765\u4f18\u5316\u70ed\u529b\u5b66\u8fc7\u7a0b\u548c\u7406\u89e3\u76f8\u53d8\u73b0\u8c61\u3002\u8fd9\u79cd\u65b9\u6cd5\u4e0d\u4ec5\u63d0\u4f9b\u4e86\u65b0\u7684\u7406\u8bba\u6d1e\u89c1\uff0c\u8fd8\u53ef\u80fd\u5bfc\u81f4\u65b0\u7684\u5b9e\u9a8c\u8bbe\u8ba1\u548c\u6280\u672f\u5e94\u7528\u3002<\/span><\/p>\n

              [1] Crooks, G. E. (2007). Measuring Thermodynamic Length. Physical Review Letters<\/em>, 99<\/em>(10), 100602. https:\/\/doi.org\/10.1103\/PhysRevLett.99.100602<\/span><\/section>\n

              \u63d0\u51fa\u4e86\u6d4b\u91cf\u70ed\u529b\u5b66\u957f\u5ea6\u7684\u65b0\u65b9\u6cd5\uff0c\u8fde\u63a5\u4e86\u5b8f\u89c2\u70ed\u529b\u5b66\u548c\u5fae\u89c2\u52a8\u529b\u5b66\u3002<\/span><\/p>\n

              [2] Ito, S. (2018). Stochastic Thermodynamic Interpretation of Information Geometry. Physical Review Letters<\/em>, 121<\/em>(3), 030605. https:\/\/doi.org\/10.1103\/PhysRevLett.121.030605<\/span><\/section>\n

              \u5efa\u7acb\u4e86\u968f\u673a\u70ed\u529b\u5b66\u4e0e\u4fe1\u606f\u51e0\u4f55\u4e4b\u95f4\u7684\u8054\u7cfb\uff0c\u4e3a\u7406\u89e3\u975e\u5e73\u8861\u8fc7\u7a0b\u63d0\u4f9b\u4e86\u65b0\u89c6\u89d2\u3002<\/span><\/p>\n

              [3] Ito, S., & Dechant, A. (2020). Stochastic Time Evolution, Information Geometry, and the Cram\u00e9r-Rao Bound. Physical Review X<\/em>, 10<\/em>(2), 021056. https:\/\/doi.org\/10.1103\/PhysRevX.10.021056<\/span><\/section>\n

              \u5c06\u968f\u673a\u65f6\u95f4\u6f14\u5316\u4e0e\u4fe1\u606f\u51e0\u4f55\u548cCram\u00e9r-Rao\u754c\u8054\u7cfb\u8d77\u6765\uff0c\u6df1\u5316\u4e86\u5bf9\u975e\u5e73\u8861\u52a8\u529b\u5b66\u7684\u7406\u89e3\u3002<\/span><\/p>\n

              [4] Li, G., Chen, J.-F., Sun, C. P., & Dong, H. (2022). Geodesic Path for the Minimal Energy Cost in Shortcuts to Isothermality. Physical Review Letters<\/em>, 128<\/em>(23), 230603. https:\/\/doi.org\/10.1103\/PhysRevLett.128.230603<\/span><\/section>\n

              \u53d1\u73b0\u4e86\u7b49\u6e29\u8fc7\u7a0b\u4e2d\u6700\u5c0f\u80fd\u91cf\u6d88\u8017\u7684\u6d4b\u5730\u7ebf\u8def\u5f84\uff0c\u4e3a\u4f18\u5316\u70ed\u529b\u5b66\u8fc7\u7a0b\u63d0\u4f9b\u4e86\u7406\u8bba\u57fa\u7840\u3002<\/span><\/p>\n

              [5] Salamon, P., & Berry, R. S. (1983). Thermodynamic Length and Dissipated Availability. Physical Review Letters<\/em>, 51<\/em>(13), 1127\u20131130. https:\/\/doi.org\/10.1103\/PhysRevLett.51.1127<\/span><\/section>\n
              \u5f15\u5165\u70ed\u529b\u5b66\u957f\u5ea6\u6982\u5ff5\uff0c\u4e3a\u91cf\u5316\u70ed\u529b\u5b66\u8fc7\u7a0b\u7684\u4e0d\u53ef\u9006\u6027\u63d0\u4f9b\u4e86\u51e0\u4f55\u63cf\u8ff0\u3002<\/span><\/section>\n

              <\/span><\/section>\n
              \u76f8\u5173\u6587\u7ae0\uff1a<\/span><\/strong><\/section>\n
              \u524d\u6cbf\u8fdb\u5c55\uff1a\u5b8f\u89c2\u9ea6\u514b\u65af\u97e6\u5996\u80cc\u540e\u7684\u70ed\u529b\u5b66\u51e0\u4f55\u539f\u7406<\/a>
              <\/span><\/section>\n

              <\/section>\n
                \n
              1. \n

                \u70ed\u5316\u95ee\u9898\u7684\u524d\u6cbf\u8fdb\u5c55<\/strong><\/span><\/h3>\n<\/li>\n<\/ol>\n

                \u70ed\u5316\u95ee\u9898\u662f\u7edf\u8ba1\u7269\u7406\u5b66\u4e2d\u7684\u4e00\u4e2a\u57fa\u672c\u95ee\u9898\uff0c\u6d89\u53ca\u7cfb\u7edf\u5982\u4f55\u8fbe\u5230\u70ed\u5e73\u8861\u3002\u8fd9\u4e2a\u4e3b\u9898\u5c06\u4ecb\u7ecd\u70ed\u5316\u95ee\u9898\u7814\u7a76\u7684\u6700\u65b0\u8fdb\u5c55\uff0c\u5305\u62ec\u91cf\u5b50\u7cfb\u7edf\u7684\u70ed\u5316\u3001\u975e\u5e73\u8861\u6001\u7684\u957f\u65f6\u95f4\u6f14\u5316\u7b49\u3002\u6211\u4eec\u8fd8\u5c06\u8ba8\u8bba\u8fd9\u4e9b\u7814\u7a76\u5bf9\u7406\u89e3\u81ea\u7136\u754c\u4e2d\u590d\u6742\u7cfb\u7edf\u884c\u4e3a\u7684\u610f\u4e49\u3002<\/span><\/p>\n

                [1] Wang, Z., Fu, W., Zhang, Y., & Zhao, H. (2024). Thermalization of Two- and Three-Dimensional Classical Lattices. Physical Review Letters<\/em>, 132<\/em>(21), 217102. https:\/\/doi.org\/10.1103\/PhysRevLett.132.217102<\/span><\/p>\n

                [2] Liu, Y., & He, D. (2024). Chaotic route to classical thermalization: A real-space analysis. Physical Review E<\/em>, 109<\/em>(6), 064115. https:\/\/doi.org\/10.1103\/PhysRevE.109.064115<\/span><\/section>\n

                <\/span><\/section>\n
                \u63a8\u8350\u9605\u8bfb\uff1a<\/span><\/strong><\/section>\n
                \u591a\u8005\u5f02\u4e5f\uff1a\u7834\u7f3a\u7684\u5bf9\u79f0\u6027\u4e0e\u79d1\u5b66\u5c42\u7ea7\u7ed3\u6784\u7684\u672c\u8d28 | \u7ecf\u5178\u56de\u987e<\/a>
                <\/span><\/section>\n
                \u300a\u591a\u8005\u5f02\u4e5f\u300b\u4e94\u5341\u5e74\uff1a\u8ffd\u968f\u5b89\u5fb7\u68ee\u7684\u811a\u6b65<\/span><\/a>
                <\/section>\n
                \u4f0a\u8f9b\u6a21\u578b\u767e\u5e74\u5c0f\u53f2\uff1a\u6700\u7ecf\u5178\u7684\u590d\u6742\u7cfb\u7edf\u6a21\u578b\uff0c\u5374\u9669\u4e9b\u88ab\u79d1\u5b66\u754c\u9057\u5fd8<\/span><\/a>
                <\/section>\n
                \u91cd\u6574\u5316\u7fa4\uff1a\u4ece\u5fae\u89c2\u5230\u5b8f\u89c2\uff0c\u4e0d\u540c\u5c3a\u5ea6\u7684\u73b0\u8c61\u5982\u4f55\u8054\u7cfb\u8d77\u6765\uff1f<\/span><\/a>
                <\/section>\n
                \u65f6\u95f4\u6d4b\u91cf\u53ef\u4ee5\u65e0\u9650\u7cbe\u786e\u5417\uff1f\u5bf9\u65f6\u949f\u7684\u70ed\u529b\u5b66\u65b0\u7406\u89e3<\/span><\/a>
                <\/section>\n
                \u5b66\u79d1\u8bde\u751f\u8bb0\uff1a\u51dd\u805a\u6001\u7269\u7406\u5b66\u7684\u5174\u8d77<\/span><\/a>
                <\/section>\n
                \u5bf9\u79f0\u6027\u4e0e\u62d3\u6251\u5e8f\uff1a\u65b0\u578b\u91cf\u5b50\u8ba1\u7b97\u673a\u7684\u7269\u7406\u57fa\u7840<\/span><\/a>
                <\/section>\n

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

                \u6a21\u5757\u4e8c\uff1a\u751f\u547d\u548c\u70ed\u529b\u5b66<\/strong><\/span><\/h2>\n

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

                <\/section>\n
                  \n
                1. \n

                  \u751f\u547d\u7cfb\u7edf\u7684\u666f\u89c2\u548c\u6d41\u7406\u8bba<\/strong><\/span><\/h3>\n<\/li>\n<\/ol>\n
                  \u4e00\u822c\u7684\u52a8\u529b\u7cfb\u7edf\u901a\u5e38\u4e0e\u73af\u5883\u6709\u80fd\u91cf\u3001\u7269\u8d28\u548c\u4fe1\u606f\u4ea4\u6362\uff0c\u6211\u4eec\u9700\u8981\u7814\u7a76\u975e\u5e73\u8861\u52a8\u529b\u5b66\u4ee5\u7406\u89e3\u5176\u5e95\u5c42\u539f\u7406\u548c\u673a\u5236\u3002\u975e\u5e73\u8861\u751f\u7269\u7cfb\u7edf\u7684\u666f\u89c2\u548c\u6d41\u7406\u8bba\u6307\u51fa\uff0c\u7cfb\u7edf\u7684\u52a8\u529b\u5b66\u7531\u666f\u89c2\u548c\u6d41\u5171\u540c\u51b3\u5b9a\uff1a\u666f\u89c2\u8d8b\u5411\u4e8e\u8ba9\u7cfb\u7edf\u7a33\u5b9a\u5728\u5177\u6709\u8f83\u9ad8\u6982\u7387\u6216\u8f83\u4f4e\u52bf\u80fd\u7684\u72b6\u6001\u6216\u5438\u5f15\u76c6\u5730\uff0c\u6d41\u901a\u5e38\u5177\u6709\u65cb\u8f6c\u7279\u6027\uff0c\u63d0\u4f9b\u6765\u81ea\u72b6\u6001\u51c0\u6d41\u5165\u6216\u6d41\u51fa\u7684\u989d\u5916\u529b\u3002\u5e73\u8861\u666f\u89c2\u3001\u975e\u5e73\u8861\u666f\u89c2\u548c\u6d41\u7406\u8bba\u5728\u751f\u7269\u5b66\u9886\u57df\u7684\u5e94\u7528\u6db5\u76d6\u86cb\u767d\u8d28\u6298\u53e0\uff0c\u751f\u7269\u5206\u5b50\u8bc6\u522b\uff0c\u751f\u7269\u5206\u5b50\u6f14\u5316\u548c\u5e73\u8861\u7cfb\u7edf\u8bbe\u8ba1\uff0c\u7ec6\u80de\u5468\u671f\u4e0e\u5206\u5316\uff0c\u764c\u75c7\uff0c\u795e\u7ecf\u7f51\u7edc\u548c\u8111\u529f\u80fd\uff0c\u975e\u5e73\u8861\u7cfb\u7edf\u7684\u6f14\u5316\uff0c\u57fa\u56e0\u7ec4\u7ed3\u6784\u52a8\u529b\u5b66\u7684\u8de8\u5c3a\u5ea6\u7814\u7a76\u7b49\u3002<\/span><\/section>\n
                  [1] Wang, Jin. Perspectives on the landscape and flux theory for describing emergent behaviors of the biological systems. Journal of Biological Physics 48.1 (2022): 1-36.<\/span><\/section>\n

                  \u6587\u7ae0\u5bf9\u5e73\u8861\u751f\u7269\u7cfb\u7edf\u7684\u666f\u89c2\u7406\u8bba\u548c\u975e\u5e73\u8861\u751f\u7269\u7cfb\u7edf\u7684\u666f\u89c2\u548c\u6d41\u7406\u8bba\u4f5c\u4e3a\u5168\u5c40\u9a71\u52a8\u529b\u8fdb\u884c\u4e86\u7efc\u8ff0\u3002\u5728\u8be5\u6587\u4e2d\uff0c\u884c\u4e3a\u7684\u6d8c\u73b0\u3001\u71b5\u4e0e\u81ea\u7531\u80fd\u76f8\u5173\u7684\u70ed\u529b\u5b66\uff0c\u4ee5\u53ca\u901f\u7387\u548c\u8def\u5f84\u7684\u52a8\u529b\u5b66\uff0c\u90fd\u5f97\u5230\u5b9a\u91cf\u8bba\u8bc1\u3002\u6587\u7ae0\u8fd8\u8ba8\u8bba\u4e86\u5c42\u7ea7\u5316\u7ec4\u7ec7\u7ed3\u6784\u3002<\/span><\/p>\n

                  [2] Wang, Jin. Landscape and flux theory of non-equilibrium dynamical systems with application to biology. Advances in Physics 64.1 (2015): 1-137.<\/span><\/p>\n

                  \u975e\u5e73\u8861\u751f\u7269\u7cfb\u7edf\u7684\u666f\u89c2\u548c\u6d41\u7406\u7efc\u8ff0\u3002<\/span><\/p>\n

                  [3] Fang, Xiaona, et al. Nonequilibrium physics in biology. Reviews of Modern Physics 91.4 (2019): 045004.<\/span><\/p>\n

                  \u975e\u5e73\u8861\u7269\u7406\u5b66\u5728\u751f\u7269\u5b66\u4e2d\u7684\u5e94\u7528\u3002<\/span><\/p>\n


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

                  \u76f8\u5173\u6587\u7ae0\uff1a<\/span><\/strong><\/span><\/p>\n

                  \u524d\u6cbf\u7efc\u8ff0\uff1a\u63cf\u8ff0\u751f\u7269\u7cfb\u7edf\u6d8c\u73b0\u884c\u4e3a\u7684\u666f\u89c2\u548c\u6d41\u7406\u8bba\u89c6\u89d2<\/a><\/span><\/p>\n

                  \u6c6a\u52b2\uff1a\u751f\u547d\u7cfb\u7edf\u4e2d\u7684\u975e\u5e73\u8861\u7269\u7406\u5b66<\/a>
                  <\/span><\/section>\n

                  <\/span><\/section>\n
                    \n
                  1. \n

                    \u6d3b\u6027\u7269\u8d28\uff1a\u81ea\u7ec4\u7ec7\u73b0\u8c61<\/strong><\/span><\/h3>\n<\/li>\n<\/ol>\n

                    \u4e3a\u4ec0\u4e48\u6210\u5343\u4e0a\u4e07\u7684\u9c7c\u513f\u80fd\u591f\u6574\u9f50\u5212\u4e00\u5730\u6e38\u52a8\uff1f\u7ec6\u83cc\u7fa4\u843d\u5982\u4f55\u5f62\u6210\u590d\u6742\u7684\u56fe\u6848\uff1f\u8fd9\u4e2a\u4e3b\u9898\u5c06\u5e26\u6211\u4eec\u63a2\u7d22\u6d3b\u6027\u7269\u8d28\u7684\u5947\u5999\u4e16\u754c\uff0c\u63ed\u793a\u8fd9\u4e9b\u8fdc\u79bb\u5e73\u8861\u7cfb\u7edf\u4e2d\u6d8c\u73b0\u51fa\u7684\u96c6\u4f53\u884c\u4e3a\u3002\u6211\u4eec\u5c06\u8ba8\u8bba\u5982\u4f55\u4ece\u7edf\u8ba1\u7269\u7406\u7684\u89d2\u5ea6\u63cf\u8ff0\u548c\u9884\u6d4b\u8fd9\u4e9b\u81ea\u7ec4\u7ec7\u73b0\u8c61\uff0c\u4ee5\u53ca\u8fd9\u4e9b\u7814\u7a76\u5982\u4f55\u542f\u53d1\u65b0\u6750\u6599\u7684\u8bbe\u8ba1\u3002\u6d3b\u6027\u7269\u8d28\u7814\u7a76\u4e0d\u4ec5\u6709\u52a9\u4e8e\u6211\u4eec\u7406\u89e3\u81ea\u7136\u754c\u4e2d\u7684\u96c6\u4f53\u884c\u4e3a\uff0c\u8fd8\u53ef\u80fd\u4e3a\u5f00\u53d1\u65b0\u578b\u667a\u80fd\u6750\u6599\u548c\u81ea\u7ec4\u88c5\u7cfb\u7edf\u63d0\u4f9b\u7075\u611f\u3002<\/span><\/p>\n

                    [1] Vrugt, M. te, & Wittkowski, R. (2024). A review of active matter reviews<\/em> (No. arXiv:2405.15751). arXiv. https:\/\/doi.org\/10.48550\/arXiv.2405.15751<\/span><\/section>\n

                    \u7efc\u8ff0\u4e86\u6d3b\u6027\u7269\u8d28\u7814\u7a76\u9886\u57df\u7684\u4e3b\u8981\u7efc\u8ff0\u6587\u7ae0\uff0c\u4e3a\u8be5\u9886\u57df\u7684\u53d1\u5c55\u63d0\u4f9b\u4e86\u5168\u9762\u89c6\u89d2\u3002<\/span><\/p>\n

                    [2] Cates, M. E., & Tailleur, J. (2015). Motility-Induced Phase Separation. Annual Review of Condensed Matter Physics<\/em>, 6<\/em>(1), 219\u2013244. https:\/\/doi.org\/10.1146\/annurev-conmatphys-031214-014710<\/span><\/section>\n

                    \u9610\u8ff0\u4e86\u8fd0\u52a8\u8bf1\u5bfc\u76f8\u5206\u79bb\u7684\u7406\u8bba\uff0c\u89e3\u91ca\u4e86\u6d3b\u6027\u7c92\u5b50\u7cfb\u7edf\u4e2d\u7684\u96c6\u4f53\u884c\u4e3a\u3002<\/span><\/p>\n

                    [3] Fruchart, M., Hanai, R., Littlewood, P. B., & Vitelli, V. (2021). Non-reciprocal phase transitions. Nature<\/em>, 592<\/em>(7854), Article 7854. https:\/\/doi.org\/10.1038\/s41586-021-03375-9<\/span><\/section>\n

                    \u5f15\u5165\u975e\u4e92\u6613\u76f8\u53d8\u7684\u6982\u5ff5\uff0c\u62d3\u5c55\u4e86\u5bf9\u6d3b\u6027\u7269\u8d28\u4e2d\u65b0\u578b\u76f8\u53d8\u73b0\u8c61\u7684\u7406\u89e3\u3002<\/span><\/p>\n

                    [4] Howse, J. R., Jones, R. A. L., Ryan, A. J., Gough, T., Vafabakhsh, R., & Golestanian, R. (2007). Self-Motile Colloidal Particles: From Directed Propulsion to Random Walk. Physical Review Letters<\/em>, 99<\/em>(4), 048102. https:\/\/doi.org\/10.1103\/PhysRevLett.99.048102<\/span><\/section>\n

                    \u7814\u7a76\u4e86\u81ea\u63a8\u8fdb\u80f6\u4f53\u7c92\u5b50\u7684\u8fd0\u52a8\uff0c\u4ece\u5fae\u89c2\u673a\u5236\u89e3\u91ca\u4e86\u6d3b\u6027\u7269\u8d28\u7684\u5b8f\u89c2\u884c\u4e3a\u3002<\/span><\/p>\n

                    [5] Schaller, V., Weber, C., Semmrich, C., Frey, E., & Bausch, A. R. (2010). Polar patterns of driven filaments. Nature<\/em>, 467<\/em>(7311), 73\u201377. https:\/\/doi.org\/10.1038\/nature09312<\/span><\/section>\n

                    \u5b9e\u9a8c\u89c2\u5bdf\u5230\u9a71\u52a8\u4e1d\u72b6\u7269\u8d28\u5f62\u6210\u7684\u6781\u6027\u56fe\u6848\uff0c\u63ed\u793a\u4e86\u6d3b\u6027\u7269\u8d28\u4e2d\u6709\u5e8f\u7ed3\u6784\u7684\u5f62\u6210\u673a\u5236\u3002<\/span><\/p>\n

                    [6] Tailleur, J., & Cates, M. E. (2008). Statistical Mechanics of Interacting Run-and-Tumble Bacteria. Physical Review Letters<\/em>, 100<\/em>(21), 218103. https:\/\/doi.org\/10.1103\/PhysRevLett.100.218103<\/span><\/section>\n

                    \u5efa\u7acb\u4e86\u63cf\u8ff0\u76f8\u4e92\u4f5c\u7528\u7684\u201crun-and-tumble\u201d\u7ec6\u83cc\u7684\u7edf\u8ba1\u529b\u5b66\u6a21\u578b\uff0c\u4e3a\u7406\u89e3\u7ec6\u83cc\u96c6\u7fa4\u884c\u4e3a\u63d0\u4f9b\u4e86\u7406\u8bba\u6846\u67b6\u3002<\/span><\/p>\n

                    [7] Toner, J., & Tu, Y. (1998). Flocks, herds, and schools: A quantitative theory of flocking. Physical Review E<\/em>, 58<\/em>(4), 4828\u20134858. https:\/\/doi.org\/10.1103\/PhysRevE.58.4828<\/span><\/section>\n
                    \u63d0\u51fa\u4e86\u7fa4\u96c6\u884c\u4e3a\u7684\u5b9a\u91cf\u7406\u8bba\uff0c\u4e3a\u7406\u89e3\u9e1f\u7fa4\u3001\u9c7c\u7fa4\u7b49\u5927\u5c3a\u5ea6\u96c6\u4f53\u8fd0\u52a8\u5960\u5b9a\u4e86\u57fa\u7840\u3002<\/span><\/section>\n

                    <\/span><\/section>\n
                    \u76f8\u5173\u6587\u7ae0\uff1a<\/span><\/strong><\/span><\/section>\n
                    \u6d8c\u73b0\u4e8e\u4ea4\u53c9\u79d1\u5b66\u7684\u65b0\u65b9\u5411\u2014\u2014\u6d3b\u6027\u7269\u8d28<\/a>
                    <\/span><\/section>\n
                    Nature Physics\u8bc4\u8bba\uff1a\u91cd\u6574\u5316\u7fa450\u5e74\uff0c\u5e94\u7528\u4e8e\u975e\u5e73\u8861\u7cfb\u7edf\u524d\u666f\u5e7f\u9614<\/a>
                    <\/span><\/section>\n
                    \u4e34\u754c\u7684\u9e1f\u7fa4\u4e0e\u590d\u6742\u7cfb\u7edf\u2014\u20142021\u5e74\u8bfa\u5956\u5f97\u4e3bGiorgio Parisi\u7684\u96c6\u4f53\u884c\u4e3a\u7814\u7a76<\/a>
                    <\/span><\/section>\n

                    <\/span><\/section>\n
                      \n
                    1. \n

                      \u751f\u547d\u7684\u975e\u5e73\u8861\u6027\u8d28\uff1a\u4e0d\u540c\u5c3a\u5ea6\u7684\u751f\u547d\u975e\u5e73\u8861\uff08\u9707\u8361\uff0c\u611f\u77e5\uff0c\u4f18\u5316\uff09<\/strong><\/span><\/h3>\n<\/li>\n<\/ol>\n

                      \u751f\u547d\u7cfb\u7edf\u4e3a\u4ec0\u4e48\u603b\u662f\u5904\u4e8e\u975e\u5e73\u8861\u72b6\u6001\uff1f\u7ef4\u6301\u8fd9\u79cd\u72b6\u6001\u9700\u8981\u4ed8\u51fa\u600e\u6837\u7684\u80fd\u91cf\u4ee3\u4ef7\uff1f\u8fd9\u4e2a\u4e3b\u9898\u5c06\u4ece\u5206\u5b50\u9a6c\u8fbe\u5230\u751f\u6001\u7cfb\u7edf\uff0c\u63a2\u8ba8\u751f\u547d\u5982\u4f55\u5728\u6548\u7387\u548c\u7a33\u5b9a\u6027\u4e4b\u95f4\u5bfb\u627e\u5e73\u8861\u3002\u6211\u4eec\u5c06\u7814\u7a76\u751f\u547d\u7cfb\u7edf\u5982\u4f55\u901a\u8fc7\u7cbe\u5999\u7684\u80fd\u91cf\u8f6c\u6362\u548c\u4fe1\u606f\u5904\u7406\u673a\u5236\u6765\u7ef4\u6301\u5176\u975e\u5e73\u8861\u72b6\u6001\uff0c\u4ee5\u53ca\u8fd9\u4e9b\u673a\u5236\u7684\u70ed\u529b\u5b66\u6548\u7387\u3002\u8fd9\u4e9b\u7814\u7a76\u4e0d\u4ec5\u6709\u52a9\u4e8e\u6211\u4eec\u66f4\u6df1\u5165\u5730\u7406\u89e3\u751f\u547d\u73b0\u8c61\uff0c\u8fd8\u53ef\u80fd\u4e3a\u8bbe\u8ba1\u66f4\u9ad8\u6548\u3001\u66f4\u7a33\u5b9a\u7684\u4eba\u5de5\u7cfb\u7edf\u63d0\u4f9b\u542f\u793a\u3002<\/span><\/p>\n

                      [1] Yang, X., Heinemann, M., Howard, J., Huber, G., Iyer-Biswas, S., Le Treut, G., Lynch, M., Montooth, K. L., Needleman, D. J., Pigolotti, S., Rodenfels, J., Ronceray, P., Shankar, S., Tavassoly, I., Thutupalli, S., Titov, D. V., Wang, J., & Foster, P. J. (2021). Physical bioenergetics: Energy fluxes, budgets, and constraints in cells. Proceedings of the National Academy of Sciences<\/em>, 118<\/em>(26), e2026786118. https:\/\/doi.org\/10.1073\/pnas.2026786118<\/span><\/section>\n
                      \u5168\u9762\u7efc\u8ff0\u4e86\u7ec6\u80de\u4e2d\u7684\u80fd\u91cf\u6d41\u52a8\u3001\u9884\u7b97\u548c\u9650\u5236\uff0c\u4e3a\u7406\u89e3\u751f\u547d\u7cfb\u7edf\u7684\u7269\u7406\u751f\u7269\u80fd\u91cf\u5b66\u63d0\u4f9b\u4e86\u6846\u67b6\u3002<\/span><\/section>\n

                      \u89e3\u8bfb\u6587\u7ae0\uff1a\u300a\u7269\u7406\u751f\u7269\u80fd\u91cf\u5b66\uff1a\u975e\u5e73\u8861\u7269\u7406\u5b66\u3001\u80fd\u91cf\u4ee3\u8c22\u4e0e\u7ec6\u80de\u751f\u7269\u5b66\u7684\u65b0\u4ea4\u53c9<\/a>\u300b<\/span><\/p>\n

                      [2] Beard, D. A., Babson, E., Curtis, E., & Qian, H. (2004). Thermodynamic constraints for biochemical networks. Journal of Theoretical Biology<\/em>, 228<\/em>(3), 327\u2013333. https:\/\/doi.org\/10.1016\/j.jtbi.2004.01.008<\/span><\/section>\n

                      \u9610\u660e\u4e86\u751f\u5316\u7f51\u7edc\u7684\u70ed\u529b\u5b66\u7ea6\u675f\uff0c\u4e3a\u7406\u89e3\u7ec6\u80de\u4ee3\u8c22\u7f51\u7edc\u7684\u8fd0\u4f5c\u539f\u7406\u5960\u5b9a\u4e86\u57fa\u7840\u3002<\/span><\/p>\n

                      [3] Cao, Y., Wang, H., Ouyang, Q., & Tu, Y. (2015). The free-energy cost of accurate biochemical oscillations. Nature Physics<\/em>, 11<\/em>(9), Article 9. https:\/\/doi.org\/10.1038\/nphys3412<\/span><\/section>\n

                      \u91cf\u5316\u4e86\u7cbe\u786e\u751f\u5316\u632f\u8361\u6240\u9700\u7684\u81ea\u7531\u80fd\u4ee3\u4ef7\uff0c\u63ed\u793a\u4e86\u751f\u7269\u949f\u7b49\u5468\u671f\u6027\u884c\u4e3a\u7684\u80fd\u91cf\u8981\u6c42\u3002<\/span><\/p>\n

                      [4] Lan, G., Sartori, P., Neumann, S., Sourjik, V., & Tu, Y. (2012). The energy\u2013speed\u2013accuracy trade-off in sensory adaptation. Nature Physics<\/em>, 8<\/em>(5), 422\u2013428. https:\/\/doi.org\/10.1038\/nphys2276<\/span><\/section>\n

                      \u7814\u7a76\u4e86\u611f\u89c9\u9002\u5e94\u4e2d\u80fd\u91cf\u3001\u901f\u5ea6\u548c\u51c6\u786e\u6027\u7684\u6743\u8861\uff0c\u9610\u660e\u4e86\u751f\u7269\u4fe1\u53f7\u5904\u7406\u7684\u57fa\u672c\u9650\u5236\u3002<\/span><\/p>\n

                      [5] Bialek, W., & Setayeshgar, S. (2005). Physical limits to biochemical signaling. Proceedings of the National Academy of Sciences<\/em>, 102<\/em>(29), 10040\u201310045. https:\/\/doi.org\/10.1073\/pnas.0504321102<\/span><\/section>\n

                      \u63a2\u8ba8\u4e86\u751f\u5316\u4fe1\u53f7\u4f20\u5bfc\u7684\u7269\u7406\u6781\u9650\uff0c\u4e3a\u7406\u89e3\u7ec6\u80de\u5982\u4f55\u5728\u566a\u58f0\u73af\u5883\u4e2d\u5904\u7406\u4fe1\u606f\u63d0\u4f9b\u4e86\u6d1e\u89c1\u3002<\/span><\/p>\n

                      [6] Sartori, P., & Pigolotti, S. (2015). Thermodynamics of Error Correction. Physical Review X<\/em>, 5<\/em>(4), 041039. https:\/\/doi.org\/10.1103\/PhysRevX.5.041039<\/span><\/section>\n

                      \u5206\u6790\u4e86\u9519\u8bef\u7ea0\u6b63\u7684\u70ed\u529b\u5b66\uff0c\u63ed\u793a\u4e86\u751f\u7269\u7cfb\u7edf\u7ef4\u6301\u9ad8\u4fdd\u771f\u5ea6\u4fe1\u606f\u5904\u7406\u7684\u80fd\u91cf\u4ee3\u4ef7\u3002<\/span><\/p>\n

                      [7] ten Wolde, P. R., Becker, N. B., Ouldridge, T. E., & Mugler, A. (2016). Fundamental Limits to Cellular Sensing. Journal of Statistical Physics<\/em>, 162<\/em>(5), 1395\u20131424. https:\/\/doi.org\/10.1007\/s10955-015-1440-5<\/span><\/section>\n
                      \u63a2\u8ba8\u4e86\u7ec6\u80de\u611f\u77e5\u7684\u57fa\u672c\u9650\u5236\uff0c\u9610\u660e\u4e86\u7ec6\u80de\u5982\u4f55\u5728\u80fd\u91cf\u6d88\u8017\u548c\u4fe1\u606f\u83b7\u53d6\u4e4b\u95f4\u8fdb\u884c\u6743\u8861\u3002<\/span><\/section>\n

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

                      \u76f8\u5173\u6587\u7ae0\uff1a<\/span><\/strong><\/span><\/p>\n

                      \u70ed\u529b\u5b66\u5982\u4f55\u89e3\u91ca\u8fdb\u5316\u8bba\uff1a\u6700\u5927\u5316\u71b5\u4ea7\u751f\u539f\u7406\u9a71\u52a8\u4e0b\u7684\u81ea\u7136\u9009\u62e9\u4e28\u65b0\u6625\u7279\u8f91<\/a>
                      <\/span><\/p>\n

                      \u8017\u6563\u7ed3\u6784\u4e0e\u81ea\u7136\u754c\u7684\u4e0d\u53ef\u9006\u6027\u2014\u2014\u201c\u70ed\u529b\u5b66\u8bd7\u4eba\u201d\u666e\u91cc\u9ad8\u6d25<\/a>
                      <\/span><\/section>\n

                      <\/span><\/section>\n
                        \n
                      1. \n

                        \u7edf\u8ba1\u7269\u7406\u4e0e\u79cd\u7fa4\u52a8\u529b\u5b66<\/strong><\/span><\/h3>\n<\/li>\n<\/ol>\n

                        \u5728\u7ade\u4e89\u6fc0\u70c8\u7684\u81ea\u7136\u754c\uff0c\u4e3a\u4ec0\u4e48\u4e0d\u540c\u7269\u79cd\u80fd\u591f\u957f\u671f\u5171\u5b58\uff1f\u751f\u6001\u7cfb\u7edf\u7684\u7a33\u5b9a\u6027\u6765\u81ea\u54ea\u91cc\uff1f\u8fd9\u4e2a\u4e3b\u9898\u5c06\u7528\u7edf\u8ba1\u7269\u7406\u7684\u89c6\u89d2\u5ba1\u89c6\u8fd9\u4e9b\u751f\u6001\u5b66\u95ee\u9898\u3002\u6211\u4eec\u5c06\u63a2\u8ba8\u73af\u5883\u6ce2\u52a8\u5982\u4f55\u5f71\u54cd\u7269\u79cd\u591a\u6837\u6027\uff0c\u4ee5\u53ca\u8fd9\u4e9b\u7814\u7a76\u5bf9\u751f\u6001\u4fdd\u62a4\u7684\u542f\u793a\u3002\u901a\u8fc7\u5c06\u7edf\u8ba1\u7269\u7406\u65b9\u6cd5\u5e94\u7528\u4e8e\u751f\u6001\u7cfb\u7edf\u7814\u7a76\uff0c\u6211\u4eec\u53ef\u80fd\u627e\u5230\u9884\u6d4b\u548c\u7ef4\u62a4\u751f\u6001\u7cfb\u7edf\u7a33\u5b9a\u6027\u7684\u65b0\u65b9\u6cd5\uff0c\u8fd9\u5bf9\u4e8e\u5e94\u5bf9\u6c14\u5019\u53d8\u5316\u548c\u4fdd\u62a4\u751f\u7269\u591a\u6837\u6027\u5177\u6709\u91cd\u8981\u610f\u4e49\u3002<\/span><\/p>\n

                        [1] Cui, W., Marsland, R., & Mehta, P. (2020). Effect of Resource Dynamics on Species Packing in Diverse Ecosystems. Physical Review Letters<\/em>, 125<\/em>(4), 048101. https:\/\/doi.org\/10.1103\/PhysRevLett.125.048101<\/span><\/p>\n

                        [2] Cui, W., Marsland, R., & Mehta, P. (2024). Les Houches Lectures on Community Ecology: From Niche Theory to Statistical Mechanics. ArXiv<\/em>, arXiv:2403.05497v1.<\/span><\/p>\n

                        [3] Goldford, J. E., Lu, N., Baji\u0107, D., Estrela, S., Tikhonov, M., Sanchez-Gorostiaga, A., Segr\u00e8, D., Mehta, P., & Sanchez, A. (2018). Emergent simplicity in microbial community assembly. Science<\/em>, 361<\/em>(6401), 469\u2013474. https:\/\/doi.org\/10.1126\/science.aat1168<\/span><\/p>\n

                        [4] Hatton, I. A., Mazzarisi, O., Altieri, A., & Smerlak, M. (2024). Diversity begets stability: Sublinear growth and competitive coexistence across ecosystems. Science<\/em>, 383<\/em>(6688), eadg8488. https:\/\/doi.org\/10.1126\/science.adg8488<\/span><\/p>\n

                        [5] Melbinger, A., Cremer, J., & Frey, E. (2010). Evolutionary Game Theory in Growing Populations. Physical Review Letters<\/em>, 105<\/em>(17), 178101. https:\/\/doi.org\/10.1103\/PhysRevLett.105.178101<\/span><\/section>\n

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

                        \u6a21\u5757\u4e09\uff1a\u7edf\u8ba1\u7269\u7406\u4e0e\u673a\u5668\u5b66\u4e60\u7684\u4ea4\u53c9<\/strong><\/span><\/h2>\n

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

                        <\/section>\n
                          \n
                        1. \n

                          \u7528\u673a\u5668\u5b66\u4e60\u5904\u7406\u7edf\u8ba1\u7269\u7406\u95ee\u9898<\/strong><\/span><\/h3>\n<\/li>\n<\/ol>\n

                          \u673a\u5668\u5b66\u4e60\u6b63\u5728\u6539\u53d8\u7edf\u8ba1\u7269\u7406\u7814\u7a76\u3002\u4ece\u76f8\u53d8\u9884\u6d4b\u5230\u91cf\u5b50\u591a\u4f53\u7cfb\u7edf\u6a21\u62df\uff0c\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u5c55\u73b0\u51fa\u5f3a\u5927\u7684\u6f5c\u529b\u3002\u8fd9\u4e2a\u4e3b\u9898\u5c06\u63a2\u8ba8\u5982\u4f55\u5229\u7528\u6df1\u5ea6\u5b66\u4e60\u3001\u5f3a\u5316\u5b66\u4e60\u7b49\u6280\u672f\u6765\u89e3\u51b3\u4f20\u7edf\u7edf\u8ba1\u7269\u7406\u4e2d\u7684\u96be\u9898\u3002\u6211\u4eec\u5c06\u8ba8\u8bba\u8fd9\u4e9b\u65b9\u6cd5\u7684\u4f18\u52bf\u548c\u5c40\u9650\u6027\uff0c\u4ee5\u53ca\u5b83\u4eec\u5982\u4f55\u6539\u53d8\u6211\u4eec\u7814\u7a76\u590d\u6742\u7269\u7406\u7cfb\u7edf\u7684\u65b9\u5f0f\u3002\u8fd9\u4e2a\u9886\u57df\u4e0d\u4ec5\u63a8\u52a8\u4e86\u7269\u7406\u5b66\u7814\u7a76\u7684\u524d\u6cbf\uff0c\u8fd8\u4e3a\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u5728\u79d1\u5b66\u8ba1\u7b97\u4e2d\u7684\u5e94\u7528\u63d0\u4f9b\u4e86\u5b9d\u8d35\u7684\u89c1\u89e3\u3002<\/span><\/p>\n

                          [1] Martin, J., Lequerica Mateos, M., Onuchic, J. N., Coluzza, I., & Morcos, F. (2024). Machine Learning in Biological Physics: From Biomolecular Prediction to Design. Proceedings of the National Academy of Sciences, 121(27), e2311807121.<\/span><\/section>\n

                          \u7efc\u8ff0\u4e86\u673a\u5668\u5b66\u4e60\u5728\u751f\u7269\u7269\u7406\u5b66\u4e2d\u7684\u5e94\u7528\uff0c\u4ece\u751f\u7269\u5206\u5b50\u9884\u6d4b\u5230\u8bbe\u8ba1\uff0c\u5c55\u793a\u4e86AI\u6280\u672f\u5728\u8de8\u5b66\u79d1\u7814\u7a76\u4e2d\u7684\u5de8\u5927\u6f5c\u529b\u3002<\/span><\/p>\n

                          [2] Tang, Y., Weng, J., & Zhang, P. (2023). Neural-Network Solutions to Stochastic Reaction Networks. Nature Machine Intelligence, 5(4), 376\u2013385.<\/span><\/section>\n

                          \u63d0\u51fa\u4e86\u4f7f\u7528\u795e\u7ecf\u7f51\u7edc\u89e3\u51b3\u968f\u673a\u53cd\u5e94\u7f51\u7edc\u95ee\u9898\u7684\u65b0\u65b9\u6cd5\uff0c\u4e3a\u7814\u7a76\u590d\u6742\u5316\u5b66\u548c\u751f\u7269\u7cfb\u7edf\u63d0\u4f9b\u4e86\u9ad8\u6548\u5de5\u5177\u3002<\/span><\/p>\n

                          \u76f8\u5173\u6587\u7ae0\uff1a\u300aNat. Mach. Intell. \u901f\u9012\uff1a\u901a\u8fc7\u795e\u7ecf\u7f51\u7edc\u6c42\u89e3\u968f\u673a\u5316\u5b66\u53cd\u5e94\u7f51\u7edc<\/a>\u300b<\/span><\/section>\n
                          [3] Tang, Y., Liu, J., Zhang, J., & Zhang, P. (2024). Learning Nonequilibrium Statistical Mechanics and Dynamical Phase Transitions. Nature Communications, 15(1), 1117.<\/span><\/section>\n

                          \u5c55\u793a\u4e86\u673a\u5668\u5b66\u4e60\u5982\u4f55\u5e2e\u52a9\u6211\u4eec\u7406\u89e3\u975e\u5e73\u8861\u7edf\u8ba1\u529b\u5b66\u548c\u52a8\u529b\u5b66\u76f8\u53d8\uff0c\u4e3a\u7814\u7a76\u590d\u6742\u7cfb\u7edf\u7684\u52a8\u6001\u884c\u4e3a\u63d0\u4f9b\u4e86\u65b0\u5de5\u5177\u3002<\/span><\/p>\n

                          \u76f8\u5173\u6587\u7ae0\uff1a\u300aNat.Commun.\u524d\u6cbf\uff1a\u53d8\u5206\u81ea\u56de\u5f52\u7f51\u7edc\u6c42\u89e3\u975e\u5e73\u8861\u6001\u7edf\u8ba1\u529b\u5b66\u548c\u52a8\u529b\u5b66\u76f8\u53d8<\/a>\u300b<\/span><\/section>\n
                          [4] Carleo, G., Cirac, I., Cranmer, K., Daudet, L., Schuld, M., Tishby, N., Vogt-Maranto, L., & Zdeborov\u00e1, L. (2019). Machine Learning and the Physical Sciences. Reviews of Modern Physics, 91(4), 045002.<\/span><\/section>\n

                          \u5168\u9762\u7efc\u8ff0\u4e86\u673a\u5668\u5b66\u4e60\u5728\u7269\u7406\u79d1\u5b66\u4e2d\u7684\u5e94\u7528\uff0c\u6db5\u76d6\u4e86\u4ece\u7c92\u5b50\u7269\u7406\u5230\u5929\u4f53\u7269\u7406\u7684\u5e7f\u6cdb\u9886\u57df\uff0c\u4e3a\u8de8\u5b66\u79d1\u7814\u7a76\u63d0\u4f9b\u4e86\u5b9d\u8d35\u7684\u53c2\u8003\u3002<\/span><\/p>\n

                          [5] Carleo, G., & Troyer, M. (2017). Solving the Quantum Many-Body Problem with Artificial Neural Networks. Science, 355(6325), 602\u2013606.<\/span><\/section>\n
                          \u9996\u6b21\u5c06\u795e\u7ecf\u7f51\u7edc\u5e94\u7528\u4e8e\u6c42\u89e3\u91cf\u5b50\u591a\u4f53\u95ee\u9898\uff0c\u5f00\u521b\u4e86\u201c\u91cf\u5b50\u673a\u5668\u5b66\u4e60\u201d\u8fd9\u4e00\u65b0\u5174\u9886\u57df\uff0c\u4e3a\u7814\u7a76\u590d\u6742\u91cf\u5b50\u7cfb\u7edf\u63d0\u4f9b\u4e86\u65b0\u7684\u8ba1\u7b97\u8303\u5f0f\u3002<\/span><\/section>\n

                          <\/span><\/section>\n
                            \n
                          1. \n

                            \u7528\u7edf\u8ba1\u7269\u7406\u5904\u7406\u673a\u5668\u5b66\u4e60\u95ee\u9898<\/strong><\/span><\/h3>\n<\/li>\n<\/ol>\n

                            \u7edf\u8ba1\u7269\u7406\u5b66\u4e3a\u7406\u89e3\u548c\u6539\u8fdb\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u63d0\u4f9b\u4e86\u72ec\u7279\u7684\u89c6\u89d2\u3002\u4ece\u795e\u7ecf\u7f51\u7edc\u7684\u80fd\u91cf\u666f\u89c2\u5230\u6df1\u5ea6\u5b66\u4e60\u4e2d\u7684\u76f8\u53d8\u73b0\u8c61\uff0c\u7269\u7406\u5b66\u6982\u5ff5\u6b63\u5728\u5e2e\u52a9\u6211\u4eec\u63ed\u793a\u673a\u5668\u5b66\u4e60\u7684\u5185\u5728\u673a\u5236\u3002\u8fd9\u4e2a\u4e3b\u9898\u5c06\u63a2\u8ba8\u5982\u4f55\u5c06\u7edf\u8ba1\u7269\u7406\u7684\u5de5\u5177\u548c\u6982\u5ff5\u5e94\u7528\u4e8e\u673a\u5668\u5b66\u4e60\u7406\u8bba\uff0c\u5305\u62ec\u5e73\u5747\u573a\u7406\u8bba\u3001\u81ea\u65cb\u73bb\u7483\u6a21\u578b\u7b49\u5728\u6df1\u5ea6\u5b66\u4e60\u5206\u6790\u4e2d\u7684\u5e94\u7528\u3002\u6211\u4eec\u8fd8\u5c06\u8ba8\u8bba\u8fd9\u4e9b\u7814\u7a76\u5982\u4f55\u6307\u5bfc\u66f4\u597d\u7684\u795e\u7ecf\u7f51\u7edc\u8bbe\u8ba1\u548c\u8bad\u7ec3\u7b56\u7565\u3002\u8fd9\u4e00\u9886\u57df\u7684\u8fdb\u5c55\u4e0d\u4ec5\u6df1\u5316\u4e86\u6211\u4eec\u5bf9\u673a\u5668\u5b66\u4e60\u7684\u7406\u8bba\u7406\u89e3\uff0c\u8fd8\u4e3a\u53d1\u5c55\u66f4\u9ad8\u6548\u3001\u66f4\u53ef\u9760\u7684\u4eba\u5de5\u667a\u80fd\u7b97\u6cd5\u63d0\u4f9b\u4e86\u65b0\u7684\u601d\u8def\u3002<\/span><\/p>\n

                            [1] Levine, H., & Tu, Y. (2024). Machine Learning Meets Physics: A Two-Way Street. Proceedings of the National Academy of Sciences, 121(27), e2403580121.<\/span><\/section>\n

                            \u8fd9\u7bc7\u7efc\u8ff0\u5168\u9762\u6982\u8ff0\u4e86\u7269\u7406\u5b66\u4e0e\u673a\u5668\u5b66\u4e60\u7684\u4ea4\u53c9\u7814\u7a76\uff0c\u4e3a\u7406\u89e3\u4e24\u4e2a\u9886\u57df\u5982\u4f55\u76f8\u4e92\u501f\u9274\u548c\u4fc3\u8fdb\u63d0\u4f9b\u4e86\u6e05\u6670\u7684\u8def\u7ebf\u56fe\u3002<\/span><\/p>\n

                            [2] Durr, S., Mroueh, Y., Tu, Y., & Wang, S. (2023). Effective Dynamics of Generative Adversarial Networks. Physical Review X, 13(4), 041004.<\/span><\/section>\n

                            \u5c06\u7edf\u8ba1\u7269\u7406\u65b9\u6cd5\u5e94\u7528\u4e8e\u751f\u6210\u5bf9\u6297\u7f51\u7edc\uff08GANs\uff09\uff0c\u63ed\u793a\u4e86GANs\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u7684\u6709\u6548\u52a8\u529b\u5b66\uff0c\u4e3a\u4f18\u5316\u8fd9\u4e00\u91cd\u8981\u7684\u751f\u6210\u6a21\u578b\u63d0\u4f9b\u4e86\u7406\u8bba\u6307\u5bfc\u3002<\/span><\/p>\n

                            [3] Feng, Y., & Tu, Y. (2021). The Inverse Variance\u2013Flatness Relation in Stochastic Gradient Descent Is Critical for Finding Flat Minima. Proceedings of the National Academy of Sciences, 118(9), e2015617118.<\/span><\/section>\n

                            \u53d1\u73b0\u4e86\u968f\u673a\u68af\u5ea6\u4e0b\u964d\u4e2d\u65b9\u5dee\u4e0e\u5e73\u5766\u5ea6\u7684\u53cd\u6bd4\u5173\u7cfb\uff0c\u4e3a\u7406\u89e3\u6df1\u5ea6\u5b66\u4e60\u4e2d\u7684\u6cdb\u5316\u73b0\u8c61\u63d0\u4f9b\u4e86\u65b0\u7684\u7269\u7406\u5b66\u89e3\u91ca\u3002<\/span><\/p>\n

                            [4] Zdeborov\u00e1, L., & Krzakala, F. (2016). Statistical Physics of Inference: Thresholds and Algorithms. Advances in Physics, 65(5), 453-552.<\/span><\/section>\n

                            \u5168\u9762\u7efc\u8ff0\u4e86\u7edf\u8ba1\u7269\u7406\u5b66\u5728\u63a8\u65ad\u95ee\u9898\u4e2d\u7684\u5e94\u7528\uff0c\u7279\u522b\u662f\u5728\u7406\u89e3\u7b97\u6cd5\u76f8\u53d8\u548c\u8ba1\u7b97\u590d\u6742\u6027\u65b9\u9762\u7684\u8d21\u732e\uff0c\u4e3a\u673a\u5668\u5b66\u4e60\u4e2d\u7684\u63a8\u65ad\u4efb\u52a1\u63d0\u4f9b\u4e86\u7406\u8bba\u57fa\u7840\u3002<\/span><\/p>\n

                            [5] M\u00e9zard, M., & Montanari, A. (2009). Information, Physics, and Computation. Oxford University Press.<\/span><\/section>\n

                            \u8fd9\u672c\u7ecf\u5178\u8457\u4f5c\u7cfb\u7edf\u9610\u8ff0\u4e86\u4fe1\u606f\u7406\u8bba\u3001\u7edf\u8ba1\u7269\u7406\u548c\u8ba1\u7b97\u590d\u6742\u6027\u4e4b\u95f4\u7684\u8054\u7cfb\uff0c\u4e3a\u7406\u89e3\u673a\u5668\u5b66\u4e60\u4e2d\u7684\u57fa\u672c\u95ee\u9898\u63d0\u4f9b\u4e86\u575a\u5b9e\u7684\u7406\u8bba\u6846\u67b6\u3002<\/span><\/p>\n

                            [6] Understanding Deep-Learning as a physicist: what would Einstein do?<\/span><\/section>\n

                            https:\/\/online.kitp.ucsb.edu\/online\/deeplearning23\/tu\/<\/span><\/p>\n


                            <\/span><\/section>\n
                            \u76f8\u5173\u6587\u7ae0\uff1a<\/span><\/strong><\/span><\/section>\n
                            2024\u5e74\u7269\u7406\u8bfa\u5956\u6388\u4e88\u4eba\u5de5\u795e\u7ecf\u7f51\u7edc\uff1a\u7edf\u8ba1\u7269\u7406\u5f15\u53d1\u7684\u673a\u5668\u5b66\u4e60\u9769\u547d<\/span><\/a>
                            <\/section>\n
                            2024\u5e74\u8bfa\u8d1d\u5c14\u7269\u7406\u5b66\u5956\u4e3a\u4f55\u6388\u4e88\u673a\u5668\u5b66\u4e60\u9886\u57df\uff1f<\/span><\/a>
                            <\/section>\n
                            2024\u5e74\u8bfa\u8d1d\u5c14\u5316\u5b66\u5956\u6388\u4e88 AlphaFold\uff1a\u5f00\u542f AI+Science \u65b0\u7eaa\u5143\uff01<\/span><\/a><\/section>\n
                            \u8bfa\u5956\u5f97\u4e3b Giorgio Parisi \u8bbf\u8c08\uff1a\u6bcf\u4e2a\u590d\u6742\u7cfb\u7edf\u90fd\u6709\u81ea\u5df1\u72ec\u7279\u7684\u590d\u6742\u6027<\/span><\/a>
                            <\/section>\n
                            \u7edf\u8ba1\u7269\u7406\u3001\u65e0\u5e8f\u7cfb\u7edf\u548c\u795e\u7ecf\u7f51\u7edc<\/span><\/a><\/section>\n
                            \u4eba\u8138\u548c\u5b87\u5b99\u662f\u5565\u5173\u7cfb\uff1f\u770b\u7269\u7406\u5b66\u5bb6\u600e\u6837\u7528\u91cd\u6574\u5316\u7fa4\u6d41\u6a21\u578b\u91cd\u65b0\u7406\u89e3\u89c6\u89c9<\/span><\/a>
                            <\/section>\n
                            \u7edf\u4e00\u4e4b\u8def\uff1a\u91cf\u5b50\u7ea0\u7f20\u3001\u65f6\u7a7a\u51e0\u4f55\u4e0e\u673a\u5668\u5b66\u4e60<\/span><\/a>
                            <\/section>\n

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

                            <\/section>\n

                            <\/section>\n

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

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

                            \u5bfc\u8bed \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\u3002\u672c\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…<\/p>\n","protected":false},"author":0,"featured_media":53504,"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\/53519"}],"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=53519"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/53519\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/53504"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=53519"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=53519"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=53519"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=53519"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}