{"id":7864,"date":"2020-01-19T02:30:45","date_gmt":"2020-01-18T18:30:45","guid":{"rendered":"http:\/\/www.andrewsun.net\/panta_rhei\/?p=7864"},"modified":"2020-02-04T23:21:26","modified_gmt":"2020-02-04T15:21:26","slug":"%e6%b6%b2%e4%bd%93%e7%89%a9%e7%90%86%e4%b8%8e%e9%ab%98%e5%88%86%e5%ad%90%e7%89%a9%e7%90%86","status":"publish","type":"post","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/7864","title":{"rendered":"\u6db2\u4f53\u7269\u7406\u4e0e\u9ad8\u5206\u5b50\u7269\u7406"},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"7864\">\n\n<p>\u5176\u5b9e50\u5e74\u4ee3\u4e4b\u540e\u51dd\u805a\u6001\u7269\u7406\u8fd8\u6709\u4e00\u4e2a\u91cd\u8981\u8fdb\u5c55\u662f\u6db2\u4f53\u7684\u7edf\u8ba1\u529b\u5b66\u7406\u8bba\u7684\u5b8c\u5584\u3002\u6db2\u4f53\u7269\u7406\u672c\u8eab\u8d77\u6e90\u572830\u5e74\u4ee3\uff0c\u5f52\u529f\u4e8e\u4ece60\u5e74\u4ee3\u768460\u5e74\u4ee3Zwanzig\u3001Mori\u3001Rahman\u3001Yip\uff0c80\u5e74\u4ee3Alder and Alley\u3001Gotze (MCT)\u300190\u5e74\u4ee3Hess and Klein\uff0cEvans and Morris\u30012000\u4e4b\u540eTodd, Hansen and Daivis\u7b49\u4eba\u3002\u5173\u4e8e\u6db2\u4f53\u7269\u7406\u7684\u5386\u53f2\uff0c\u53ef\u4ee5\u770b\u6211<a rel=\"noreferrer noopener\" aria-label=\"\u4e4b\u524d\u8fd9\u7bc7\u6587\u7ae0 (opens in a new tab)\" href=\"http:\/\/www.andrewsun.net\/panta_rhei\/archives\/7249\" target=\"_blank\">\u4e4b\u524d\u8fd9\u7bc7\u6587\u7ae0<\/a>\u91cc\u9762\u63a8\u8350\u7684\u7efc\u8ff0\u3002<\/p>\n\n\n\n<p>\u5927\u6982\u4ece80\u5e74\u4ee3\u5f00\u59cb\uff0c\u5c31\u6709\u5c06\u6db2\u4f53\u7269\u7406\u5e94\u7528\u5230\u9ad8\u5206\u5b50\u7269\u7406\u5f53\u4e2d\u7684\u5de5\u4f5c\u3002\u7194\u4f53\u65b9\u9762\uff0c\u5e73\u8861\u6001\u7edf\u8ba1\u4ee5PRISM\u7406\u8bba\u4e3a\u4ee3\u8868\u3002\u4ee5\u6b64\u4e3a\u51fa\u53d1\u70b9\u7684\u975e\u5e73\u8861\u6001\u7edf\u8ba1\uff0c\u4ee5Ken 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medium\u6a21\u578b\uff0c\u601d\u60f3\u90fd\u662f\u628a\u591a\u4f53\u95ee\u9898\u8f6c\u5316\u4e3a\u5355\u4f53\u5728\u4e00\u4e2a\u7279\u6b8a\u7684\u7b49\u6548\u4ecb\u8d28\u4e2d\u7684\u95ee\u9898\u3002\u6240\u4ee5\uff0c\u867d\u7136Schweizer\u597d\u50cf\u6ca1\u6709\u76f4\u63a5\u62a5\u9053\u8fd9\u79cd\u505a\u6cd5\uff0c\u4f46\u4ed6\u7684\u5de5\u4f5c\u5b9e\u9645\u4e0a\u628a\u7f20\u7ed3\u7ebf\u5f62\u9ad8\u5206\u5b50\u7684\u677e\u5f1b\u65f6\u95f4\u8c31\u7684\u73bb\u7483\u533a\u548c\u6a61\u80f6\u533a\u90fd\u7528MCT\u5904\u7406\u4e86\u3002<\/p>\n\n\n\n<p>Rouse\u4f5c\u4e3a\u4e00\u4e2a\u7a00\u6eb6\u6db2\u6a21\u578b\uff0c\u5374\u53cd\u800c\u80fd\u7cbe\u786e\u63cf\u8ff0\u975e\u7f20\u7ed3\u7194\u4f53\u7684\u539f\u56e0\uff0c\u662f\u672a\u8bc1\u5b9e\u7684\uff0c\u731c\u6d4b\u662f\u53ef\u80fd\u8bf4\u660e\u540e\u8005\u7684\u6d41\u4f53\u52a8\u529b\u5b66\u4f5c\u7528\u53ef\u5ffd\u7565\uff0c\u53ef\u89c6\u4e3a\u5355\u94fe\u4e00\u79cd\u201c\u6eb6\u6db2\u201d\u3002\u56e0\u6b64\u867d\u7136Rouse\u662f\u4e00\u4e2a\u7edf\u8ba1\u529b\u5b66\u6a21\u578b\uff0c\u4f46\u4e0d\u80fd\u5f53\u4f5c\u975e\u7f20\u7ed3\u7194\u4f53\u7684\u7b2c\u4e00\u539f\u7406\u6027\u6a21\u578b\uff0c\u5b83\u5176\u5b9e\u662f\u7194\u4f53\u7684\u4e00\u4e2a\u7b49\u6548\u4ecb\u8d28\uff08effective 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medium\uff09\u3001\u91cd\u6574\u5316\u7fa4\u2026\u20262000\u5e74\u4ee3\uff0cKawasaki\u3001Das\u3001Andreanov\u7b49\u4eba\u8fdb\u884c\u4e86MCT\u7684\u7edf\u8ba1\u573a\u8bba\u63a8\u5bfc\u5de5\u4f5c\u3002\u6211\u89c9\u5f97\u6bd4\u8f83\u7a81\u51fa\u7684\u8ba4\u8bc6\u662fAndreanov\u57282009\u5e74\u5c55\u793a\u4e86\u5b83\u7684\u5e73\u5747\u573a\u5c5e\u6027\uff08\u5b83\u5176\u5b9e\u662f\u4e2aLandau\u7406\u8bba\uff09\u3002<\/p>\n\n\n\n<p>MCT\u7684\u7406\u8bba\u610f\u4e49\uff0c\u5728Andreannov 2009\u7684EPL\u548cBerthier 2011\u7684Rev Mod Phys\u4e2d\u90fd\u8bb2\u5f97\u975e\u5e38\u597d\u3002Andreannov\u8fd8\u66fe\u5728\u4ed6\u7684\u53e6\u4e00\u4e2a\u4f5c\u4e2d\u63d0\u793a\uff0c\u7edf\u8ba1\u573a\u8bba\u65b9\u6cd5\u6709\u53ef\u80fd\u8865\u5168\u5f53\u4e0bGotze\u7248\u672c\u7684MCT\u65e0\u6cd5\u9884\u6d4bactivated barrier hopping\u7684\u91cd\u8981\u7f3a\u9677\u3002\uff08Schweizer\u5728\u8fd9\u65b9\u9762\u53d1\u8868\u8fc7\u51e0\u7bc7\u5de5\u4f5c\uff0c\u4f46\u57fa\u672c\u65b9\u6cd5\u662f\u81ea\u5df1\u4e3ahopping\u8bbe\u7f6e\u4e86\u4e00\u4e2a\u968f\u673a\u8fc7\u7a0b\uff0c\u662f\u7ecf\u9a8c\u7684\u3002\uff09<\/p>\n<!-- kcite active, but no citations found -->\n<\/div> <!-- kcite-section 7864 -->","protected":false},"excerpt":{"rendered":"<p>\u5176\u5b9e50\u5e74\u4ee3\u4e4b\u540e\u51dd\u805a\u6001\u7269\u7406\u8fd8\u6709\u4e00\u4e2a\u91cd\u8981\u8fdb\u5c55\u662f\u6db2\u4f53\u7684\u7edf\u8ba1\u529b\u5b66\u7406\u8bba\u7684\u5b8c\u5584\u3002\u6db2\u4f53\u7269\u7406\u672c\u8eab\u8d77\u6e90\u572830\u5e74\u4ee3\uff0c\u5f52\u529f\u4e8e\u4ece60\u5e74\u4ee3\u768460\u5e74\u4ee3Zwanzig\u3001Mori\u3001Rahman\u3001Yip\uff0c80\u5e74\u4ee3Alder and Alley\u3001Gotze (MCT)\u300190\u5e74\u4ee3Hess and Klein\uff0cEvans and Morris\u30012000\u4e4b\u540eTodd, Hansen and 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\u5f17\u6d1b\u91cc\u5c06\u9ad8\u5206\u5b50\u94fe\u7edf\u8ba1\u7269\u7406\u8fd9\u6761\u7814\u7a76\u8def\u7ebf\u4e00\u76f4\u63a8\u52a8\u5230\u4ed61985\u5e74\u53bb\u4e16\u3002\u8fd9\u6761\u8def\u7ebf\u4e0e\u540e\u6765\u76ae\u57c3\u5c14-\u5409\u52d2\u00b7\u5fb7\u70ed\u7eb3\uff08Pierre-Gilles de Gennes\uff09\u53d1\u5c55\u7684\u6807\u5ea6\u7406\u8bba\u662f\u5e76\u884c\u7684\u3001\u4e0d\u540c\u7684\u8def\u5f84\u3002\u8bb8\u591a\u573a\u5408\u4eba\u4eec\u559c\u6b22\u7528\u4e00\u79cd\u8bdd\u672f\u53d9\u8ff0\u5386\u53f2\uff1a\u201cFlory\u9884\u6d4bA\uff0c\u4f46\u6807\u5ea6\u7406\u8bba\u9884\u6d4bB\uff0c\u5b9e\u9a8c\u53d1\u73b0de Gennes\u5bf9\u201d\uff0c\u8fd9\u4f1a\u8ba9\u4e0d\u719f\u6089\u7684\u4eba\u8bef\u4ee5\u4e3a\u662f\u524d\u8005\u88ab\u540e\u8005\u5168\u9762\u63a8\u7ffb\u3002\u5728\u6211\u770b\u6765\uff0cde Gennes\u4e0e 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Flory\u57281951\u5e74\u7684\u95fb\u540d\u8457\u4f5c Principles of Polymer Chemistry \u4e2d\u663e\u793a\u51fa\u7684\u70ed\u529b\u5b66\u7684\u7edf\u8ba1\u529b\u5b66\u65b9\u6cd5\uff0c\u57fa\u672c\u4e0a\u8fd8\u662f\u8fd9\u4e24\u4e2a\u5b66\u79d11950\u5e74\u4e4b\u524d\u7684\u5f62\u6001\u3002\u5f53\u4ed6\u79bb\u5f00\u5eb7\u5948\u5c14\u5927\u5b66\u4e4b\u540e\uff081960s ~ 70s\uff09\uff0c\u65e0\u8bba\u662f\u70ed\u529b\u5b66\u8fd8\u662f\u7edf\u8ba1\u529b\u5b66\u7684\u5de5\u4f5c\u90fd\u5438\u6536\u4e86\u8fd9\u4e24\u4e2a\u5b66\u79d1\u7684\u8fd1\u4e16\u5316\u6210\u679c\u3002\u4f46\u90fd\u53ea\u4f53\u73b0\u5728\u4ed6\u540e\u6765\u53d1\u8868\u7684\u8bba\u6587\u5f53\u4e2d\u3002\u800c\u518d\u6ca1\u6709\u603b\u7ed3\u6210\u4e00\u672c\u50cf1951\u5e74\u8fd9\u672c\u4e66\u90a3\u6837\u5bf9\u5b66\u79d1\u672c\u79d1\u6559\u5b66\u5f71\u54cd\u6df1\u8fdc\u7684\u65b0\u4e66\u3002\u73b0\u5728\u7684\u9ad8\u5206\u5b50\u7269\u7406\u672c\u79d1\u6559\u6750\uff0c\u57fa\u672c\u6ca1\u6709\u516d\u3001\u4e03\u5341\u5e74\u4ee3\u7684\u4e1c\u897f\uff0c\u5b8c\u5168\u662fFlory1951\u5e74\u8fd9\u672c\u4e66\u7684\u590d\u523b\uff0c\u751a\u81f3\u8fd8\u4e22\u5931\u4e86Flory\u539f\u4e66\u4e2d\u5f88\u591a\u5145\u6ee1\u7269\u7406\u6d1e\u89c1\u7684\u53d9\u8ff0\uff08\u56e0\u4e3a\u8bd1\u8005\u770b\u4e0d\u61c2\uff09\u3002 \u683c\u5b50\u6a21\u578b\u7528\u4e8e\u6db2\u4f53 \u867d\u7136Kirkwood\uff0cOnsager\u7684\u5de5\u4f5c\u53ef\u4ee5\u8ffd\u6eaf\u523030\u5e74\u4ee3\uff0c\u4f46\u8fd9\u4e9b\u5de5\u4f5c\u65e0\u8bba\u662f\u5bf9\u975e\u5e73\u8861\u7684\u70ed\u529b\u5b66\/\u7edf\u8ba1\u529b\u5b66\uff0c\u8fd8\u662f\u5bf9\u6db2\u4f53\u7269\u7406\u7684\u5f71\u54cd\uff0c\u90fd\u8981\u523060\u5e74\u4ee3\u5de6\u53f3\u624d\u88ab\u516c\u8ba4\u3002\u800c\u4e14Flory\u5173\u5fc3\u7684\u95ee\u9898\u4e5f\u4e3b\u8981\u4ece\u5e73\u8861\u6001\u5207\u5165\u3002\u5728\u8fd9\u65b9\u9762\u572850\u5e74\u4ee3\u5df2\u7ecf\u5f62\u6210\u5341\u5206\u6210\u719f\u7684\u7406\u8bba\u5de5\u5177\u3002\u5176\u4e2d\u70ed\u529b\u5b66\u5f53\u65f6\u7684\u8868\u73b0\u5f62\u5f0f\u5c31\u8ddf\u4eca\u5929\u672c\u79d1\u300a\u7269\u7406\u5316\u5b66\u300b\u4e2d\u7684\u5dee\u4e0d\u591a\u3002\u800c\u7edf\u8ba1\u529b\u5b66\u7684\u8868\u73b0\u5f62\u5f0f\u53ef\u4ee5\u7528Fowler & Guggenheim (1949), Statistical Thermodynamics, CUP\u6765\u4ee3\u8868\u3002\u8fd9\u672c\u4e66\u9996\u5370\u662f1939\u5e74\uff0c1949\u5e74\u6709\u4e00\u4e2a\u4fee\u8ba2\u7248\uff0c\u4e4b\u540e\u5c31\u53ea\u6709\u91cd\u5370\uff0c\u6ca1\u6709\u65b0\u7248\u3002\u8fd9\u672c\u4e66\u5728\u5f53\u65f6\u662f\u5341\u5206\u6d41\u884c\u7684\u53c2\u8003\u4e66\u3002\u8be5\u4e66\u7684\u4e00\u4e2a\u7279\u70b9\u662f\u6709\u597d\u51e0\u4e2a\u5173\u6ce8\u4eca\u5929\u6240\u8c13\u7684\u8f6f\u51dd\u805a\u6001\u4f53\u7cfb\u7684\u5e94\u7528\u7ae0\u8282\u2014\u2014\u6db2\u4f53\u7eaf\u7269\u8d28\u548c\u6df7\u5408\u7269\u548c\u754c\u9762\u95ee\u9898\u3002\u81f3\u5c11\uff0c\u6db2\u4f53\u7684\u957f\u7a0b\u65e0\u5e8f\u7279\u70b9\u4ee5\u201c\u5f84\u5411\u5206\u5e03\u51fd\u6570\u201d\u8fd9\u79cd\u56fe\u50cf\u5df2\u88ab\u719f\u77e5\u3002 Flory\u539f\u4e66\u5728\u521a\u4e00\u629b\u51fa\u201c\u683c\u5b50\u6a21\u578b\u201d\u7684\u65f6\u5019\uff0c\u5c31\u63d2\u5165\u4e86\u4e00\u6bb5\u8bc4\u8ff0\uff1a The molecules in the pure liquids and in their solution are considered to be arranged with enough regularity to justify approximate representation by a lattice, as is\u2026","rel":"","context":"In &quot;\u4e2a\u4eba\u6587\u96c6&quot;","block_context":{"text":"\u4e2a\u4eba\u6587\u96c6","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/featured"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":9022,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/9022","url_meta":{"origin":7864,"position":2},"title":"\u5173\u4e8e\u9ad8\u5206\u5b50\u7684\u7ed3\u6784\u6d41\u53d8\u5b66\u6a21\u578b","author":"Andrew","date":"2024\u5e743\u67081\u65e5","format":false,"excerpt":"\u8fd9\u662f\u4e3a\u8bb8\u5143\u6cfd\u5148\u751f\u7684\u8457\u4f5c\u300a\u9ad8\u5206\u5b50\u7ed3\u6784\u6d41\u53d8\u5b66\u300b\u7684\u7b2c\u4e8c\u7ae0\u6dfb\u52a0\u7684\u8bc4\u8bba\u3002 \u8bb8\u8001\u5e08\u5728\u7b2c\u4e8c\u7ae0\u5f00\u5934\u7684\u8fd9\u6bb5\u8bdd\u2014\u2014 \u9ad8\u5206\u5b50\u7a00\u6eb6\u6db2\u7684\u52a8\u529b\u5b66\u7406\u8bba\u53ef\u8ffd\u6eaf\u523040\u5e74\u4ee3\uff0cKuhn\u3001Kramers\u3001Debye\u548cKirkwood\u7b49\u4eba\u7684\u5de5\u4f5c\u3002\u4ed6\u4eec\u628a\u7edf\u8ba1\u529b\u5b66\u548c\u6d41\u4f53\u529b\u5b66\u7ed3\u5408\u8d77\u6765\uff0c\u6784\u6210\u4e00\u79cd\u201c\u5206\u5b50\u201d\u7406\u8bba\uff0c\u5b9e\u9645\u4e0a\u662f\u5206\u5b50\u7ed3\u6784\u6a21\u578b\u7684\u7406\u8bba\u300250\u5e74\u4ee3\u7531Rouse\u548cZimm\u7b49\u53d1\u5c55\u8fd9\u4e9b\u6982\u5ff5\u548c\u65b9\u6cd5\u5bfc\u51fa\u6d41\u53d8\u5b66\u91cf\u300270\u5e74\u4ee3\u4ee5\u6765\u5f97\u5230\u4e86\u6d41\u53d8\u5b66\u672c\u6784\u65b9\u7a0b\uff0c\u7406\u8bba\u7ed3\u6784\u9010\u6b65\u5b8c\u5584\uff0c\u5e76\u8fdb\u884c\u4e86\u7ec6\u81f4\u7684\u5b9e\u9a8c\u68c0\u9a8c\uff0c\u9488\u5bf9\u4e0d\u8db3\u4e4b\u5904\u53c8\u6709\u5404\u79cd\u65b0\u7684\u63a2\u7d22\u3002\u8fd9\u65b9\u9762\u8f83\u5b8c\u6574\u7684\u603b\u7ed3\u53c2\u89c1Bird\u7b49\u7684\u4e13\u8457\uff0c\u5176\u4e2d\u8f83\u5b8c\u6574\u5730\u53cd\u6620\u4e86\u5f53\u4ee3\u7684\u6c34\u5e73\u3002\u6b64\u5916\u8fd8\u53ef\u53c2\u9605\u4e00\u4e9b\u603b\u7ed3\u6027\u6587\u732e\u3002 \u2014\u2014\u81f3\u4eca\u770b\u6765\u4ecd\u628a\u8be5\u4e66\u51fa\u7248\u65f6\uff081988\u5e74\uff09\u5df2\u7ecf\u5b9a\u578b\u7684\u7406\u8bba\u8ba4\u8bc6\u603b\u7ed3\u5f97\u5f88\u597d\u3002\u8fd9\u4e9b\u6a21\u578b\u53ef\u79f0\u4e3a\u9ad8\u5206\u5b50\u6eb6\u6db2\u7684\u6d41\u53d8\u5b66\u6027\u8d28\u7684\u201c\u7ecf\u5178\u6a21\u578b\u201d\u3002\u5b83\u4eec\u90fd\u662f\u6d41\u4f53\u52a8\u529b\u5b66\uff08hydrodynamic\uff09\u6a21\u578b\uff0c\u5373\u660e\u660e\u6eb6\u8d28\u5206\u5b50\uff08\u5bf9\u4e8e\u9ad8\u5206\u5b50\u6eb6\u8d28\u5219\u6307\u4e00\u4e2a\u94fe\u6bb5\u5355\u5143\uff09\u4e0e\u6eb6\u5242\u5206\u5b50\u7684\u5c3a\u5bf8\u548c\u8d28\u91cf\u5dee\u522b\u4e0d\u5927\uff0c\u5374\u89c6\u540e\u8005\u4e3a\u8fde\u7eed\u4ecb\u8d28\uff0c\u89c6\u524d\u8005\u4e3a\u60ac\u6d6e\u5728\u540e\u8005\u5f53\u4e2d\u53d1\u751f\u5e03\u6717\u8fd0\u52a8\u7684\u80f6\u4f53\u7c92\u5b50\u3002\u4e25\u683c\u610f\u4e49\u4e0a\uff0c\u8fd9\u6837\u7684\u6a21\u578b\u6240\u5f97\u51fa\u7684\u7ed3\u8bba\u5e94\u8be5\u53ea\u5728\u89c2\u6d4b\u65f6\u95f4\u5c3a\u5ea6\u5f88\u5927\u7684\u65f6\u5019\u6210\u7acb\uff0c\u5373\u6db2\u4f53\u975e\u5e73\u8861\u7edf\u8ba1\u4e2d\u7684\u6240\u8c13\u6d41\u4f53\u52a8\u529b\u5b66\u6781\u9650\uff08hydrodynamic limit\uff09\uff0c\u8be6\u89c1The Theory of Simple Liquids\u4e00\u4e66\u3002\u4f8b\u5982\uff0c\u5f39\u6027\u54d1\u94c3\u3001Rouse--Zimm\u548cDoi--Edwards\u6a21\u578b\u90fd\u5c5e\u4e8e\u6b64\u7c7b\u3002\u8fd9\u7c7b\u6a21\u578b\u7684\u5176\u4e2d\u4e00\u4e2a\u5171\u540c\u70b9\u662f\u90fd\u501f\u52a9\u4e86\u80f6\u4f53\u60ac\u6d6e\u6db2\u7684\u504f\u5e94\u529b\u5f20\u91cf\u7406\u8bba\u65b9\u6cd5\u3002\u8be5\u65b9\u6cd5\u7531Kramers\u63d0\u51fa\uff0cKirkwood\u96c6\u5927\u6210\u3002\u6b64\u5373\u4e3a\u8bb8\u8001\u5e08\u539f\u6587\u6240\u8bf4\u7684\u201c\u8ffd\u6eaf\u523040\u5e74\u4ee3\u201d\u3002\u8fd9\u4e00\u7406\u8bba\u65b9\u6cd5\u7528\u5230\u4e86Smoluschowski\u65b9\u7a0b\uff0c\u5176\u4e2d\u542b\u6709\u6d41\u4f53\u52a8\u529b\u5b66\u7684Oseen\u5f20\u91cf\u3002 \u76f8\u6bd4\u800c\u8a00\uff0c\u805a\u5408\u7269\u52a8\u529b\u5b66\u7684\u7b2c\u4e00\u539f\u7406\u6027\u6a21\u578b\u53d1\u5c55\u8f83\u665a\u3002\u6240\u8c13\u7b2c\u4e00\u539f\u7406\u6027\uff0c\u5373\u4ece\u5fae\u89c2\u5355\u5143\uff08\u805a\u5408\u7269\u94fe\u6bb5\u5355\u5143\u6216\u6eb6\u5242\u5206\u5b50\uff09\u7684Hamiltonian\u51fa\u53d1\u5efa\u7acb\u76f8\u7a7a\u95f4\u7684Liouville\u65b9\u7a0b\uff1b\u8fd0\u7528Zwanzig--Mori\u6295\u5f71\u7b97\u7b26\u6cd5\u83b7\u5f97\u4e00\u822c\u76f8\u7a7a\u95f4\u53d8\u91cf\u7684\u5e7f\u4e49Langevin\u65b9\u7a0b\uff1b\u518d\u8fd0\u7528\u67d0\u79cd\u6a21\u5f0f\u8026\u5408\u7406\u8bba\uff08mode-coupling theory\uff09\u6765\u5f97\u5230\u8bb0\u5fc6\u51fd\u6570\u548c\u5305\u62ec\u7c98\u5ea6\u5728\u5185\u7684\u5b8f\u89c2\u8f93\u9001\u6027\u8d28\u3002Zwanzig--Mori\u6295\u5f71\u7b97\u7b26\u6cd5\u53ef\u89c1Theory of Simple Liquids\u4e00\u4e66\u3002\u6a21\u5f0f\u8026\u5408\u7406\u8bba\u7531Kawasaki\u4e8e70\u5e74\u4ee3\u63d0\u51fa\u3002\u6700\u521d\u662f\u7528\u4e8e\u52a8\u529b\u5b66\u4e34\u754c\u884c\u4e3a\u7684\uff0c\u540e\u6765\u5e94\u7528\u4e8e\u975e\u4e34\u754c\u72b6\u6001\u7684\u4f53\u7cfb\u7684\u52a8\u529b\u5b66\uff0c\u53ef\u89c1Keyes\u7684\u7efc\u8ff01\u3002\u7b2c\u4e00\u4e2a\u5c06\u8fd9\u4e2a\u7406\u8bba\u6846\u67b6\u5e94\u7528\u4e8e\u805a\u5408\u7269\u4f53\u7cfb\u7684\u662fK. Schweizer\u3002\u5177\u4f53\u5230\u5e94\u529b\u5f20\u91cf\u6216\u7c98\u5ea6\u7684\u7406\u8bba\u63a8\u5bfc\u95ee\u9898\uff0c\u5728\u975e\u5e73\u8861\u7edf\u8ba1\u529b\u5b66\u4e2d\uff0c\u76ee\u524d\u53ea\u6709\u9884\u6d4b\u7ebf\u6027\u8f93\u8fd0\u65b9\u7a0b\u7684\u7406\u8bba\u2014\u2014\u7ebf\u6027\u54cd\u5e94\u7406\u8bba\u2014\u2014\u662f\u6bd4\u8f83\u6210\u719f\u7684\u3002\u81f3\u4e8e\u975e\u7ebf\u6027\u7406\u8bba\u7684\u8ba8\u8bba\uff0c\u53ef\u89c1Evans & Morriss\u8457\u4f5c\u7684\u76f8\u5173\u7ae0\u8282\u3002","rel":"","context":"In &quot;\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0&quot;","block_context":{"text":"\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/tagged"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":5675,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/5675","url_meta":{"origin":7864,"position":3},"title":"\u7a33\u6001\u526a\u5207\u4e0b\u7684\u7ed3\u6784\u677e\u5f1b","author":"Andrew","date":"2013\u5e749\u670819\u65e5","format":false,"excerpt":"\u4e2d\u79cb\u8fd9\u4e24\u5929\u5047\u671f\uff0c\u6211\u90fd\u5728\u770bmode coupling theory\u7684\u6587\u732e\u3002\u82b1\u4e86\u5f88\u591a\u529f\u592b\uff0c\u7ed3\u679c\u5565\u4e5f\u6ca1\u771f\u6b63\u770b\u61c2\u3002\u4ee5\u540e\u53ef\u80fd\u4e0d\u4f1a\u518d\u50cf\u8fd9\u4e24\u5929\u8fd9\u4e48\u8ba4\u771f\u5730\u53bb\u770b\u8fd9\u73a9\u610f\u4e86\uff0c\u6240\u4ee5\u597d\u6b79\u8bb0\u5f55\u4e00\u4e0b\u3002 Time-shear superposition \u5bf9\u8fc7\u51b7\u6db2\u4f53\u7684\u6a21\u62df\u7814\u7a76\u53d1\u73b0\uff0c\u5728\u65bd\u52a0\u4e00\u4e2a\u7a33\u6001\u526a\u5207\u65f6\uff0c\u5176\u5bc6\u5ea6\u6216\u6563\u5c04\u81ea\u76f8\u5173\u51fd\u6570\u7684\u03b1\u677e\u5f1b\u968f\u589e\u5927\u5411\u77ed\u65f6\u95f4\u65b9\u5411\u79fb\u52a8\uff0c\u677e\u5f1b\u65f6\u95f4\u51cf\u5c0f\u3002\u5982\u679c\u628a\u4e0d\u540c\u7684\u81ea\u76f8\u5173\u51fd\u6570\u6539\u5bf9\u4e00\u4e2a\u7ea6\u5316\u7684\u65f6\u95f4t\/\u03c4\u4f5c\u56fe\uff0c\u5404\u66f2\u7ebf\u7684\u03b1\u677e\u5f1b\u90e8\u5206\u80fd\u591f\u53e0\u52a0\u6210\u4e00\u6761\u4e3b\u66f2\u7ebf\u3002\u03c4\u8ddf\u7684\u5173\u7cfb\u5f80\u5f80\u5177\u6709\u7684\u5f62\u5f0f\uff0ca\u5f88\u63a5\u8fd11\u3002\u8fd9\u4e2a\u73b0\u8c61\u8bf4\u660e\uff0c\u7a33\u6001\u526a\u5207\u80fd\u591f\u7f29\u77ed\u03b1\u677e\u5f1b\u7684\u65f6\u95f4\u5c3a\u5ea6\uff0c\u4f46\u4e0d\u6539\u53d8\u677e\u5f1b\u66f2\u7ebf\u7684\u5f62\u72b6\uff0c\u8fd9\u4e00\u73b0\u8c61\u53c8\u88ab\u79f0\u4e3atime-shear superposition\u3002 Strain rate-frequency superposition 2007\u5e74Wyss\u7b49\u62a5\u9053\uff0c\u5728\u51e0\u79cd\u4e0d\u540c\u7684\u6d53\u80f6\u4f53\u4f53\u7cfb\u90fd\u5448\u73b0\u6240\u8c13strain rate-frequency 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model\u7684\u7c7b\u578b\uff0c\u8bbe\u8ba1\u4e86\u5f88\u591a\u6ca1\u6709\u76f4\u63a5\u7269\u7406\u610f\u4e49\u7684\u8868\u8fbe\u5f0f\u51d1\u6765\u51d1\u53bb\u3002\u5982\u679c\u7528\u8fd9\u4e9b\u6a21\u578b\u53bb\u5c1d\u8bd5SRFS\uff0c\u65e0\u8bba\u662f\u6210\u8fd8\u662f\u4e0d\u6210\uff0c\u4f60\u90fd\u5f88\u96be\u83b7\u5f97\u4ec0\u4e48\u7269\u7406\u4e0a\u7684insight\u3002\u6240\u4ee5\uff0c\u6211\u5c31\u60f3\u6539\u7528\u4e00\u4e9b\u80f6\u4f53\u4f53\u7cfb\u7684first principle\u7684\u6d41\u53d8\u7406\u8bba\u3002\u9996\u5148\u60f3\u5230\u7684\u5c31\u662fMCT\u5411\u6d41\u53d8\u5b66\u7684\u63a8\u5e7f\uff0c\u5373Fuchs\u7b49\u4eba\u7684\u5de5\u4f5c\u3002\u5177\u4f53\u5730\uff0c\u662f\u5e0c\u671b\u91c7\u7528MCT-ITT\u7684\u4e00\u4e9b\u7b80\u5316\u7248schematic 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\u8981\u56de\u7b54\u7b2c\u4e8c\u4e2a\u95ee\u9898\uff0c\u5373\u6709\u4ec0\u4e48\u6d41\u53d8\u5b66\u65b9\u6cd5\u80fd\u591f\u770b\u5230\u4f53\u7cfb\u5728\u975e\u7ebf\u6027\u6761\u4ef6\u4e0b\u7684\u7ed3\u6784\u677e\u5f1b\uff0c\u6211\u4eec\u5e94\u8be5\u9996\u5148\u628a\u60c5\u51b5\u7b80\u5316\u56de\u7a33\u6001\u526a\u5207\u3002\u8fb9\u8fdb\u884c\u7a33\u6001\u526a\u5207\uff0c\u8fb9\u8fdb\u884c\u677e\u5f1b\u6d4b\u8bd5\u7684\u6d41\u53d8\u5b66\u65b9\u6cd5\u662f\u6709\u7684\uff0c\u53eb\u505a\u201c\u53e0\u52a0\u6d41\u53d8\u5b66\u201d\uff0csuperposition 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&quot;\u73ed\u4e3b\u4efb&quot;","block_context":{"text":"\u73ed\u4e3b\u4efb","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/%e7%8f%ad%e4%b8%bb%e4%bb%bb"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":9191,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/9191","url_meta":{"origin":7864,"position":5},"title":"Flory\u7684\u201c\u53e6\u4e00\u672c\u4e66\u201d","author":"Andrew","date":"2025\u5e744\u670820\u65e5","format":false,"excerpt":"\u67d0\u6821\u300a\u9ad8\u5206\u5b50\u7269\u7406\u300b\u8bfe\u671f\u672b\u8003\u8bd5\u7684\u201c\u82f1\u6587\u540d\u8bcd\u89e3\u91ca\u201d\u9898\u4e2d\uff0c\u8003\u5230\u201crotational isomeric state\u201d\uff08\u65cb\u8f6c\u5f02\u6784\u6001\uff09\u8fd9\u4e2a\u672f\u8bed\u3002\u6211\u611f\u5230\u5f88\u56f0\u60d1\u3002\u56e0\u4e3a\u8fd9\u4e2a\u672f\u8bed\u662f\u6bd4\u8f83\u6df1\u7684\u3002\u6211\u4eec\u6240\u91c7\u7528\u7684\u672c\u79d1\u9ad8\u5206\u5b50\u7269\u7406\u6559\u6750\uff0c\u6839\u672c\u6ca1\u6709\u6d89\u53ca\u5230\u8fd9\u4e2a\u6982\u5ff5\u3002\u8fd9\u4e2a\u6982\u5ff5\u751a\u81f3\u6ca1\u6709\u51fa\u73b0\u5728P. J. Flory\u7684\u201c\u90a3\u672c\u4e66\u201d\u2014\u2014Principles of Polymer Chemistry\u4e2d\uff08\u51fa\u7248\u4e8e1953\u5e74\uff09\uff0c\u56e0\u4e3a\u8fd9\u4e2a\u6982\u5ff5\u662f\u7531\u041c\u0438\u0445\u0430\u0438\u0301\u043b \u0412\u043b\u0430\u0434\u0438\u0301\u043c\u0438\u0440\u043e\u0432\u0438\u0447 \u0412\u043e\u043b\u044c\u043a\u0435\u043d\u0448\u0442\u0435\u0301\u0439\u043d\uff08M. V. Volkenstein\uff09\u57281959\u5e74\u53d1\u8868\u7684\u8457\u4f5c\u041a\u043e\u043d\u0444\u0438\u0433\u0443\u0440\u0430\u0446\u0438\u043e\u043d\u043d\u0430\u044f \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430 \u043f\u043e\u043b\u0438\u043c\u0435\u0440\u043d\u044b\u0445 \u0446\u0435\u043f\u0435\u0439\uff08\u805a\u5408\u7269\u94fe\u7684\u6784\u8c61\u7edf\u8ba1\uff09\u4e2d\u6b63\u5f0f\u63d0\u51fa\u7684\u30021963\u5e74\uff0c\u8be5\u4e66\u7684\u82f1\u6587\u7ffb\u8bd1\u5728\u7f8e\u56fd\u51fa\u7248\uff0cP. J. Flory\u5728\u5e8f\u4e2d\u9ad8\u5ea6\u8d5e\u8d4f\u4e86\u8be5\u8457\u4f5c\u3002\u540e\u8005\u7684\u201c\u53e6\u4e00\u672c\u4e66\u201d\u2014\u2014Statistical Mechanics of Chain Molecules\u4e5f\u4e8e1969\u5e74\u51fa\u7248\uff0c\u4f7f\u5f97\u65cb\u8f6c\u5f02\u6784\u6001\u2014\u2014\u8ba1\u7b97\u771f\u5b9e\u805a\u5408\u7269\u94fe\u7edf\u8ba1\u6027\u8d28\u7684\u4e00\u79cd\u8fd1\u4f3c\u601d\u60f3\u2014\u2014\u5f97\u5230\u66f4\u52a0\u4e3a\u4eba\u6240\u77e5\uff08\u5c3d\u7ba1\u8fd9\u672c\u4e66\u4ecd\u7136\u662f\u5c11\u6709\u4eba\u9605\u8bfb\u7684\uff09\u3002 M. Volkenstein\u539f\u8457\u5c01\u9762 \u65cb\u8f6c\u5f02\u6784\u6001\u5047\u8bbe\uff0c\u4f7f\u5f97\u63cf\u8ff0\u771f\u5b9e\u94fe\u7684\u5316\u5b66\u952e\u8282\u590d\u6742\u6027\u2014\u2014\u4f8b\u5982\u4e0d\u5bf9\u79f0\u4ee5\u53ca\u5404\u81ea\u4e0d\u72ec\u7acb\u7684\u952e\u8282\u65cb\u8f6c\u52bf\u80fd\u66f2\u7ebf\u2014\u2014\u6709\u4e86\u53ef\u5199\u4e0b\u7684\u7edf\u4e00\u6570\u5b66\u5f62\u5f0f\u3002\u4ece\u4eca\u5929\u7684\u89d2\u5ea6\u770b\uff0c\u8fd9\u4e00\u5047\u8bbe\u9020\u6210\u7684\u597d\u5904\u662f\u6570\u5b66\u63cf\u8ff0\u7684\u79bb\u6563\u5316\u3002\u8fd9\u5f88\u50cf\u7531\u201c\u968f\u673a\u8fc7\u7a0b\u201d\u5230\u201c\u65f6\u95f4\u5e8f\u5217\u201d\u7684\u53d8\u5316\u65b9\u5f0f\u3002 \u4e0a\u4e16\u7eaa60\u5e74\u4ee3\u6070\u597d\u662f\u7535\u5b50\u8ba1\u7b97\u673a\u95ee\u4e16\u7684\u65f6\u4ee3\u3002\u590d\u6742\u7684\u8ba1\u7b97\u5982\u679c\u53ef\u4ee5\u88ab\u4ee5\u4e00\u79cd\u79bb\u6563\u5316\u7684\u65b9\u5f0f\u63cf\u8ff0\uff0c\u5c31\u53ef\u4ee5\u901a\u8fc7\u7535\u5b50\u8ba1\u7b97\u673a\u6765\u89e3\u51b3\u3002\u57fa\u4e8e\u77e9\u9635\u8fd0\u7b97\u7684\u7ebf\u6027\u4ee3\u6570\u5728\u8fd9\u4e2a\u8fc7\u7a0b\u4e2d\u53d1\u6325\u4e86\u91cd\u8981\u7684\u4f5c\u7528\u3002\u6bd4\u5982\uff0c\u4ee5\u9a6c\u5c14\u53ef\u592b\u8fc7\u7a0b\u4e3a\u6a21\u578b\u7684\u9884\u6d4b\uff0c\u5176\u5b9e\u662f\u843d\u5b9e\u5230\u8f6c\u79fb\u77e9\u9635\u7684\u8fd0\u7b97\u4e0a\u3002\u540c\u7406\uff0c\u57fa\u4e8e\u65cb\u8f6c\u5f02\u6784\u6001\u5047\u8bbe\u5bf9\u771f\u5b9e\u94fe\u8fdb\u884c\u79bb\u6563\u5316\u63cf\u8ff0\u540e\uff0c\u6709\u671b\u901a\u8fc7\u8ba1\u7b97\u673a\uff0c\u7ed9\u5b9a\u5316\u5b66\u5f0f\uff0c\u9884\u6d4b\u51fa\u94fe\u7edf\u8ba1\u7ed3\u679c\u2014\u2014\u8fd9\u5c06\u8fdb\u4e00\u6b65\u7528\u4e8e\u9884\u6d4b\u805a\u5408\u7269\u6750\u6599\u7684\u8bb8\u591a\u6027\u8d28\u3002\u8fd9\u65e0\u7591\u662f\u4ee4\u4eba\u5174\u594b\u7684\u3002\u4f46\u662f\u4f5c\u4e3a\u4e00\u95e8\u79d1\u5b66\uff0c\u8fd9\u4e00\u5047\u8bbe\u662f\u5426\u7b26\u5408\u5b9e\u9645\uff0c\u9700\u8981\u5b9e\u9a8c\u9a8c\u8bc1\u3002\u800c\u5b9e\u9a8c\u7684\u53ef\u9a8c\u8bc1\u6027\u7406\u8bba\uff0c\u662f\u4efb\u4f55\u4e00\u9879\u7406\u8bba\u5de5\u4f5c\u7684\u201c\u53e6\u591650%\u52aa\u529b\u201d\u3002Volkenstein\u539f\u4e66\u603b\u7ed3\u4e86\u5927\u91cf\u53ef\u80fd\u7528\u4e8e\u9a8c\u8bc1\u8fd9\u4e00\u7406\u8bba\u7684\u5b9e\u9a8c\u65b9\u6cd5\u2014\u2014\u5305\u62ec\u5076\u6781\u77e9\u6d4b\u91cf\u3001\u5149\u6563\u5c04\u3001Kerr\u6548\u5e94\u7b49\u3002\u4f46\u662f\u8fd9\u4e9b\u5b9e\u9a8c\u65b9\u6cd5\u4e0e\u65cb\u8f6c\u5f02\u6784\u6001\u5047\u8bbe\u6b63\u786e\u6027\u7684\u8054\u7cfb\uff0c\u4f9d\u7136\u85cf\u5728\u590d\u6742\u800c\u95f4\u63a5\u7684\u6570\u91cf\u5173\u7cfb\u4ee5\u53ca\u66f4\u591a\u5b9e\u9a8c\u5047\u5b9a\uff08\u6bd4\u5982valence-optical scheme\uff09\u4e4b\u4e0b\u3002 \u4ece\u4eca\u5929\u7684\u89d2\u5ea6\u770b\uff0c\u9ad8\u5206\u5b50\u7269\u7406\u7406\u8bba\u7684\u53d1\u5c55\u4e0e\u6db2\u4f53\u7269\u7406\u7684\u53d1\u5c55\u82e5\u4e0d\u80fd\u8bf4\u662f\u540c\u65f6\u7684\uff0c\u5219\u524d\u8005\u751a\u81f3\u8d85\u524d\u4e8e\u540e\u8005\u3002\u56e0\u6b64\uff0c\u6210\u529f\u7684\u9ad8\u5206\u5b50\u7269\u7406\u5b66\u5bb6\uff0c\u514d\u4e0d\u4e86\u8981\u5728\u6db2\u4f53\u7269\u7406\u95ee\u9898\u4e0a\u6709\u5148\u950b\u5f0f\u7684\u6b63\u786e\u8ba4\u8bc6\u3002\u8fd9\u5728Flory\u7684Principles in Polymer Chemistry\u4e00\u4e66\u4e2d\u662f\u6709\u6240\u4f53\u73b0\u7684\u3002\u4f8b\u5982\u5728\u6eb6\u6db2\u70ed\u529b\u5b66\u7684\u683c\u5b50\u7edf\u8ba1\u90e8\u5206\uff0cFlory\u201c\u5570\u55e6\u201d\u4e86\u4e00\u6bb5\u8bdd\uff08p. 497 sec. 1a\u7684\u7b2c2\u81ea\u7136\u6bb5\uff09\uff0c\u5b9e\u9645\u4e0a\u9053\u51fa\u4e86\u6db2\u4f53\u7684\u5f84\u5411\u5206\u5e03\u51fd\u6570\u6982\u5ff5\uff01\u53cd\u4e4b\uff0cVolkenstein\u7684\u539f\u4e66\uff0c\u53cd\u6620\u4e86\u524d\u82cf\u8054\u79d1\u5b66\u5bb6\u5728\u0412\u0430\u043b\u0435\u043d\u0442\u0438\u043d \u0410\u043b\u0435\u043a\u0441\u0435\u0435\u0432\u0438\u0447 \u041a\u0430\u0440\u0433\u0438\u043d\uff08V. A. Kargin\uff09\u5173\u4e8e\u6db2\u6001\u7684\u843d\u540e\u8ba4\u8bc6\u7684\u5f71\u54cd\u3002\u5728Kargin\u5f53\u9886\u5bfc\u7684\u671f\u95f4\uff0c\u8fd9\u4e9b\u89c2\u70b9\u662f\u7528\u6765\u5bf9\u6297\u6765\u81ea\u7f8e\u56fd\u540c\u884c\u7684\u4e0d\u540c\u89c2\u70b9\u7684\u3002\u0418\u043b\u044c\u044f\u0301 \u041c\u0438\u0445\u0430\u0301\u0439\u043b\u043e\u0432\u0438\u0447 \u041b\u0438\u0301\u0444\u0448\u0438\u0446\uff08I. M. Lifshitz\uff09\u7684\u66f4\u52a0\u6b63\u786e\u7684\u9ad8\u5206\u5b50\u7269\u7406\u89c2\u70b9\uff081968\u5e74\uff09\u88ab\u63a8\u8fdf\u5230\u65af\u5927\u6797\u65f6\u4ee3\u4e4b\u540e\u624d\u4e3a\u4eba\u6240\u77e5\u3002\u56e0\u6b64\uff0c\u4eca\u5929\u518d\u60f3\u4e86\u89e3\u8fd9\u90e8\u5206\u5185\u5bb9\uff0c\u5e94\u8be5\u76f4\u63a5\u770bFlory\u7684\u8457\u4f5c\u3002Flory\u7684\u8457\u4f5c\u5305\u62ec\u4e86\u4ed6\u672c\u4eba\u548c\u540e\u671f\u7684\u51e0\u4e2a\u540c\u4e8b\u548c\u5b66\u751f\uff1aJ. Mark\u3001A. Abe\u3001R. Jernigan\u3001A. Tonelli\u7684\u540e\u7eed\u5de5\u4f5c\uff1b\u4ed6\u4eec\u53d1\u8868\u4e86\u540c\u4e00\u7269\u7406\u91cf\u7684\u7406\u8bba\u8ba1\u7b97\u548c\u5b9e\u9a8c\u6d4b\u91cf\u7ed3\u679c\u6bd4\u8f83\uff0c\u5341\u5206\u5b8c\u7f8e\u7684\u5370\u8bc1\u4e86Volkenstein\u94fe\u7edf\u8ba1\u7406\u8bba\u7684\u6210\u529f\uff0c\u6bd4\u5982\u4ee5\u4e0b\u8457\u540d\u63d2\u56fe\u3002 \u7528Monte Carlo\u6a21\u62df\u751f\u6210\u7684\u7acb\u4f53\u5f02\u6784\u65e0\u89c4\u94fe\u7279\u5f81\u6bd4\uff0c\u4e0e\u7406\u8bba\u8ba1\u7b97\u7279\u5f81\u6bd4\u7684\u6bd4\u8f83\u56fe","rel":"","context":"In &quot;\u4e2a\u4eba\u6587\u96c6&quot;","block_context":{"text":"\u4e2a\u4eba\u6587\u96c6","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/featured"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2025\/04\/1.jpg?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2025\/04\/1.jpg?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2025\/04\/1.jpg?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2025\/04\/1.jpg?resize=700%2C400&ssl=1 2x, https:\/\/i0.wp.com\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2025\/04\/1.jpg?resize=1050%2C600&ssl=1 3x, https:\/\/i0.wp.com\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2025\/04\/1.jpg?resize=1400%2C800&ssl=1 4x"},"classes":[]}],"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/posts\/7864","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/comments?post=7864"}],"version-history":[{"count":2,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/posts\/7864\/revisions"}],"predecessor-version":[{"id":7870,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/posts\/7864\/revisions\/7870"}],"wp:attachment":[{"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/media?parent=7864"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/categories?post=7864"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/tags?post=7864"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}