{"id":8394,"date":"2022-05-15T00:41:44","date_gmt":"2022-05-14T16:41:44","guid":{"rendered":"https:\/\/www.andrewsun.net\/panta_rhei\/?p=8394"},"modified":"2022-05-28T05:49:27","modified_gmt":"2022-05-27T21:49:27","slug":"yakov-ilyich-frenkel","status":"publish","type":"post","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/8394","title":{"rendered":"Yakov Ilyich Frenkel"},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"8394\">\n\n<p>\u4ea4\u8054\u805a\u5408\u7269\u7f51\u7edc\u6eb6\u80c0\u7684\u70ed\u529b\u5b66\u72b6\u6001\u65b9\u7a0b\uff0cFlory\u2013Rehner\u65b9\u7a0b\uff0c\u5e38\u5e38\u4e5f\u88ab\u79f0\u4e3aFrenkel\u2013Flory\u2013Rehner\u65b9\u7a0b\u3002\u8fd9\u91cc\u7684Frenkel\u662f\u4fc4\u56fd\/\u524d\u82cf\u8054\u7269\u7406\u5b66\u5bb6Yakov Ilyich Frenkel\u3002\u5173\u4e8e\u8fd9\u4f4d\u7269\u7406\u5b66\u5bb6\u7684\u4ecb\u7ecd\u6709\u5f88\u591a\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a rel=\"noreferrer noopener\" href=\"https:\/\/mathshistory.st-andrews.ac.uk\/Biographies\/Frenkel\/\" target=\"_blank\">Jacov Il&#8217;ich Frenkel (1894 &#8211; 1952) &#8211; Biography &#8211; MacTutor History of Mathematics (st-andrews.ac.uk)<\/a><\/li><li><a href=\"https:\/\/clever-geek.imtqy.com\/articles\/179546\/index.html\">Frenkel, Jacob Ilyich (imtqy.com)<\/a><\/li><li><a rel=\"noreferrer noopener\" href=\"https:\/\/handwiki.org\/wiki\/Biography:Yakov_Frenkel\" target=\"_blank\">Biography:Yakov Frenkel &#8211; HandWiki<\/a><\/li><li><a rel=\"noreferrer noopener\" href=\"https:\/\/physicstoday.scitation.org\/doi\/10.1063\/1.881435\" target=\"_blank\">Yakov Il&#8217;ich Frenkel: Physics Today: Vol 47, No 6 (scitation.org)<\/a><\/li><li><a rel=\"noreferrer noopener\" href=\"https:\/\/physicstoday.scitation.org\/doi\/10.1063\/1.881817\" target=\"_blank\">Viktor Yakovlevich Frenkel: Physics Today: Vol 50, No 7 (scitation.org)<\/a><\/li><\/ul>\n\n\n\n<p>\u4ed6\u628a\u521d\u8bde\u65f6\u671f\u7684\u91cf\u5b50\u529b\u5b66\u6700\u65b0\u8fdb\u5c55\u5e26\u56de\u4e86\u5217\u5b81\u683c\u52d2\u3002\u6717\u9053\u5c31\u662f\u4ed6\u6700\u65e9\u7684\u5b66\u751f\u4e4b\u4e00\u3002Frenkel\u7684\u4e3b\u8981\u6210\u679c\u4e5f\u662f\u5728\u7535\u52a8\u529b\u5b66\u3001\u91cf\u5b50\u529b\u5b66\u548c\u51dd\u805a\u6001\u7269\u7406\u3002\u5728\u4e0a\u5217\u5bf9\u4ed6\u7684\u4e00\u822c\u4ecb\u7ecd\u5f53\u4e2d\uff0c\u51e0\u4e4e\u90fd\u6ca1\u6709\u63d0\u5230\u4ed6\u5bf9\u9ad8\u5206\u5b50\u7269\u7406\u7684\u6d89\u8db3\u3002Frenkel\u2013Flory\u2013Rehner\u65b9\u7a0b\u4e4b\u6240\u4ee5\u51a0\u4ed6\u7684\u540d\u5b57\u662f\u6765\u81ea\u4ed6\u57281938\u5e74\u53d1\u8868\u7684\u8bba\u6587<span contenteditable=\"false\" id=\"e6f1f3f9-46ba-4c0d-a6c9-e6fd6dd8b16d\" data-items=\"[&quot;1427163562&quot;]\" class=\"abt-citation\"><\/span><span contenteditable=\"false\" id=\"2693d07c-e441-4f9a-9a7c-7c99ba99cac3\" data-items=\"[&quot;1427163562&quot;]\" class=\"abt-citation\"><\/span><span id=\"cite_ITEM-8394-0\" name=\"citation\"><a href=\"#ITEM-8394-0\">[1]<\/a><\/span>\u3002\u8fd9\u7bc7\u8bba\u6587\u7684\u9898\u76ee\u7279\u522b\u50cf\u4e00\u672c\u6bd4\u8f83\u5b8c\u6574\u7684\u9ad8\u5206\u5b50\u7269\u7406\u4e66\uff0c\u4f46\u5b9e\u9645\u4e0a\u5bf9\u4e8e\u6807\u9898\u4e2d\u7684\u6bcf\u4e00\u4e2a\u8bdd\u9898\uff0cFrenkel\u90fd\u53ea\u4ece\u6700\u7b80\u5355\u7684\u7269\u7406\u76f4\u89c9\u51fa\u53d1\u63a8\u5bfc\u51fa\u4e00\u4e9b\u7ed3\u8bba\u3002\u8fd9\u662f\u786e\u5b9e\u662fFrenkel\u672c\u4eba\u7684\u98ce\u683c\uff0c\u8bb8\u591a\u5bf9\u4ed6\u7684\u4ecb\u7ecd\u90fd\u4e0d\u7ea6\u800c\u540c\u5730\u6279\u8bc4\u4ed6\u8fd9\u4e00\u70b9\u3002\u4f8b\u5982Phys. Today\u7684\u6587\u7ae0<span id=\"cite_ITEM-8394-1\" name=\"citation\"><a href=\"#ITEM-8394-1\">[2]<\/a><\/span>\u8bf4\uff1a<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-style-plain is-layout-flow wp-block-quote-is-layout-flow\"><p>He wrote with great clarity, using simple arguments whenever possible, perhaps even at the risk of oversimplification.<\/p><\/blockquote>\n\n\n\n<p>\u4f46\u662f\u81f3\u5c11\u5c31\u8fd9\u7bc7\u5173\u4e8e\u9ad8\u5206\u5b50\u7684\u8bba\u6587\u800c\u8a00\uff0c\u5b8c\u5168\u6ca1\u6709\u4e0a\u8ff0\u7684risk\u3002\u5176\u4e2d\u6bd4\u8f83\u4eae\u773c\u7684\u662f\u4ed6\u7b80\u660e\u5730\u70b9\u51fa\u4e86\u4e3a\u4f55\u9ad8\u65af\u94fe\u5047\u8bbe\u7b49\u4ef7\u4e8e\u7ebf\u6027\u7684\u6a61\u80f6\u529b\u5b66\u6a21\u578b\u3002<\/p>\n\n\n\n<p>\u4e0e\u90a3\u4e2a\u5e74\u4ee3\u7684\u8bb8\u591a\u5176\u4ed6\u524d\u82cf\u8054\u79d1\u5b66\u5bb6\u4e00\u6837\uff0cFrenkel\u627f\u53d7\u7740\u610f\u8bc6\u5f62\u6001\u7684\u538b\u529b\u3002\u4ed6\u6218\u524d\u575a\u6301\u53d1\u8868\u201c\u8fa9\u8bc1\u552f\u7269\u4e3b\u4e49\u6307\u5bfc\u4e0d\u4e86\u79d1\u5b66\u7814\u7a76\u201d\u7684\u8a00\u8bba\uff0c\u8fd9\u5728\u6218\u540e\u7684\u65af\u5927\u6797\u4e3b\u4e49\u65f6\u671f\u7ed9\u4ed6\u5e26\u6765\u6781\u5927\u7684\u5371\u9669\u3002\u4ed6\u7684\u597d\u51e0\u7bc7\u4ecb\u7ecd\u897f\u65b9\u54f2\u5b66\u89c2\u70b9\u7684\u8457\u4f5c\u90fd\u6ca1\u6562\u53d1\u8868\u3002\u4ed6\u7684\u513f\u5b50Viktor Yakovlevich Frenkel\u672c\u4eba\u662f\u4e00\u4e2a\u6770\u51fa\u7684\u79d1\u6280\u53f2\u5b66\u8005<span id=\"cite_ITEM-8394-2\" name=\"citation\"><a href=\"#ITEM-8394-2\">[3]<\/a><\/span>\u3002\u4ed6\u7ed9\u5f88\u591a\u524d\u82cf\u8054\u79d1\u5b66\u5b9a\u5199\u8fc7\u4f20\u8bb0\uff0c\u5f53\u7136\u4e5f\u5305\u62ec\u4ed6\u81ea\u5df1\u7684\u7236\u4eb2\u3002<\/p>\n<h2>References<\/h2>\n    <ol>\n    <li><a name='ITEM-8394-0'><\/a>\nJ. Frenkel, \"A Theory of Elasticity, Viscosity and Swelling in Polymeric Rubber-Like Substances\", <i>Rubber Chemistry and Technology<\/i>, vol. 13, pp. 264-274, 1940. <a href=\"http:\/\/dx.doi.org\/10.5254\/1.3539509\">http:\/\/dx.doi.org\/10.5254\/1.3539509<\/a>\n\n\n<\/li>\n<li><a name='ITEM-8394-1'><\/a>\nR. Peierls, \"Yakov Il'ich Frenkel\", <i>Physics Today<\/i>, vol. 47, pp. 44-49, 1994. <a href=\"http:\/\/dx.doi.org\/10.1063\/1.881435\">http:\/\/dx.doi.org\/10.1063\/1.881435<\/a>\n\n\n<\/li>\n<li><a name='ITEM-8394-2'><\/a>\nP.R. Josephson, \"Viktor Yakovlevich Frenkel\", <i>Physics Today<\/i>, vol. 50, pp. 79-79, 1997. <a href=\"http:\/\/dx.doi.org\/10.1063\/1.881817\">http:\/\/dx.doi.org\/10.1063\/1.881817<\/a>\n\n\n<\/li>\n<\/ol>\n\n<\/div> <!-- kcite-section 8394 -->","protected":false},"excerpt":{"rendered":"<p>\u4ea4\u8054\u805a\u5408\u7269\u7f51\u7edc\u6eb6\u80c0\u7684\u70ed\u529b\u5b66\u72b6\u6001\u65b9\u7a0b\uff0cFlory\u2013Rehner\u65b9\u7a0b\uff0c\u5e38\u5e38\u4e5f\u88ab\u79f0\u4e3aFrenkel\u2013Flory\u2013Rehner\u65b9\u7a0b\u3002\u8fd9\u91cc\u7684Frenkel\u662f\u4fc4\u56fd\/\u524d\u82cf\u8054\u7269\u7406\u5b66\u5bb6Yakov Ilyich Frenkel\u3002\u5173\u4e8e\u8fd9\u4f4d\u7269\u7406\u5b66\u5bb6\u7684\u4ecb\u7ecd\u6709\u5f88\u591a\uff1a Jacov Il&#8217;ich Frenkel (1894 &#8211; 1952) &#8211; Biography &#8211; MacTutor History of Mathematics (st-andrews.ac.uk) Frenkel, Jacob Ilyich (imtqy.com) Biography:Yakov Frenkel &#8211; HandWiki Yakov Il&#8217;ich Frenkel: Physics Today: Vol 47, No 6 (scitation.org) Viktor Yakovlevich Frenkel: Physics Today: Vol 50, No 7 (scitation.org) \u4ed6\u628a\u521d\u8bde\u65f6\u671f\u7684\u91cf\u5b50\u529b\u5b66\u6700\u65b0\u8fdb\u5c55\u5e26\u56de\u4e86\u5217\u5b81\u683c\u52d2\u3002\u6717\u9053\u5c31\u662f\u4ed6\u6700\u65e9\u7684\u5b66\u751f\u4e4b\u4e00\u3002Frenkel\u7684\u4e3b\u8981\u6210\u679c\u4e5f\u662f\u5728\u7535\u52a8\u529b\u5b66\u3001\u91cf\u5b50\u529b\u5b66\u548c\u51dd\u805a\u6001\u7269\u7406\u3002\u5728\u4e0a\u5217\u5bf9\u4ed6\u7684\u4e00\u822c\u4ecb\u7ecd\u5f53\u4e2d\uff0c\u51e0\u4e4e\u90fd\u6ca1\u6709\u63d0\u5230\u4ed6\u5bf9\u9ad8\u5206\u5b50\u7269\u7406\u7684\u6d89\u8db3\u3002Frenkel\u2013Flory\u2013Rehner\u65b9\u7a0b\u4e4b\u6240\u4ee5\u51a0\u4ed6\u7684\u540d\u5b57\u662f\u6765\u81ea\u4ed6\u57281938\u5e74\u53d1\u8868\u7684\u8bba\u6587\u3002\u8fd9\u7bc7\u8bba\u6587\u7684\u9898\u76ee\u7279\u522b\u50cf\u4e00\u672c\u6bd4\u8f83\u5b8c\u6574\u7684\u9ad8\u5206\u5b50\u7269\u7406\u4e66\uff0c\u4f46\u5b9e\u9645\u4e0a\u5bf9\u4e8e\u6807\u9898\u4e2d\u7684\u6bcf\u4e00\u4e2a\u8bdd\u9898\uff0cFrenkel\u90fd\u53ea\u4ece\u6700\u7b80\u5355\u7684\u7269\u7406\u76f4\u89c9\u51fa\u53d1\u63a8\u5bfc\u51fa\u4e00\u4e9b\u7ed3\u8bba\u3002\u8fd9\u662f\u786e\u5b9e\u662fFrenkel\u672c\u4eba\u7684\u98ce\u683c\uff0c\u8bb8\u591a\u5bf9\u4ed6\u7684\u4ecb\u7ecd\u90fd\u4e0d\u7ea6\u800c\u540c\u5730\u6279\u8bc4\u4ed6\u8fd9\u4e00\u70b9\u3002\u4f8b\u5982Phys. Today\u7684\u6587\u7ae0\u8bf4\uff1a He wrote with great clarity, using simple arguments [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[212],"tags":[137,150],"class_list":["post-8394","post","type-post","status-publish","format-standard","hentry","category-tagged","tag-people","tag-polymer-physics"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1aPvF-2bo","jetpack-related-posts":[{"id":8571,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/8571","url_meta":{"origin":8394,"position":0},"title":"\u4eceNature\u6742\u5fd7\u5173\u4e8e\u4fc4\u7f57\u65af\u7684\u79d1\u5b66\u7814\u7a76\u7684\u62a5\u9053\u6240\u60f3\u5230\u7684","author":"Andrew","date":"2022\u5e747\u670813\u65e5","format":false,"excerpt":"Nature\u6742\u5fd7\u81ea\u514b\u91cc\u7c73\u4e9a\u5e76\u5165\u4fc4\u7f57\u65af\u4ee5\u6765\u62a5\u9053\u8fc7\u591a\u6b21\u4fc4\u7f57\u65af\u7684\u79d1\u5b66\u7814\u7a76\u653f\u7b56\uff0c\u53e3\u543b\u90fd\u662f\u5341\u5206\u654c\u89c6\u7684\u3002 Putin\u2019s Russia divides and enrages scientists | NatureRussia's crackdowns are jeopardizing its science | NatureRussian secret service to vet research papers | NatureRussian science chases escape from mediocrity (nature.com) 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Klein\uff1a The Structure and Dynamics of Strongly Interacting Charged Colloidal Liquids - SpringerThe Physics of Complex Systems - Societ\u00e0 italiana di fisica - Google Book","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":9191,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/9191","url_meta":{"origin":8394,"position":4},"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 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Hove--Prigogine\u7406\u8bba\u6765\u8ba8\u8bba\uff0c\u5b83\u4e00\u5b9a\u4f1a\u8d8b\u5411\u5e73\u8861\u3002\u5b64\u5b50\u89e3\u7684\u5b58\u5728\u4e0eKAM\u5b9a\u7406\u8868\u660e\uff0cvan Hove--Prigogine\u7406\u8bba\u53ea\u662f\u63d0\u4f9b\u4e86\u67d0\u79cd\u5f62\u5f0f\uff0c\u53ea\u5229\u7528\u8fd9\u79cd\u5f62\u5f0f\u4e0d\u4e00\u5b9a\u4f1a\u5f97\u5230\u6b63\u786e\u7684\u7ed3\u679c\u3002\u4e8e\u662f\u90e8\u9898\u53c8\u53d8\u5f97\u4e00\u56e2\u7cdf\u4e86\u3002 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