{"id":3286,"date":"2011-07-16T22:18:14","date_gmt":"2011-07-16T14:18:14","guid":{"rendered":"http:\/\/www.andrewsun.net\/panta_rhei\/?p=3286"},"modified":"2011-07-16T22:18:14","modified_gmt":"2011-07-16T14:18:14","slug":"%e8%81%9a%e5%90%88%e7%89%a9%e5%a1%ab%e5%85%85%e4%bd%93%e7%b3%bb%e6%b5%81%e5%8f%98%e5%ad%a6%e7%9a%84%e5%87%a0%e4%b8%aa%e5%b8%b8%e8%af%86","status":"publish","type":"post","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/3286","title":{"rendered":"\u805a\u5408\u7269\u586b\u5145\u4f53\u7cfb\u6d41\u53d8\u5b66\u7684\u51e0\u4e2a\u5e38\u8bc6"},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"3286\">\n<p><span style=\"float: left; padding: 5px;\"><a href=\"http:\/\/www.researchblogging.org\"><img decoding=\"async\" style=\"border: 0;\" src=\"http:\/\/www.researchblogging.org\/public\/citation_icons\/rb2_mid.png\" alt=\"ResearchBlogging.org\" \/><\/a><\/span><span class=\"Z3988\" title=\"ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.jtitle=Polymer&amp;rft_id=info%3Adoi%2F10.1016%2Fj.polymer.2010.09.051&amp;rfr_id=info%3Asid%2Fresearchblogging.org&amp;rft.atitle=Effect+of+polymer%2Ffiller+interactions+on+the+structure+and+rheological+properties+of%C2%A0ethylene-octene+copolymer%2Fnanosilica+composites&amp;rft.issn=00323861&amp;rft.date=2010&amp;rft.volume=51&amp;rft.issue=&amp;rft.spage=5506&amp;rft.epage=5515&amp;rft.artnum=http%3A%2F%2Flinkinghub.elsevier.com%2Fretrieve%2Fpii%2FS0032386110008347&amp;rft.au=Bailly%2C+M.&amp;rft.au=Kontopoulou%2C+M.&amp;rft.au=El+Mabrouk%2C+K.&amp;rfe_dat=bpr3.included=1;bpr3.tags=Chemistry%2CMaterials%2C+Polymer%2C+Condensed+Matter%2C+Rheology%2C+Continuum+Mechanics\">Bailly, M., Kontopoulou, M., &amp; El Mabrouk, K. (2010). Effect of polymer\/filler interactions on the structure and rheological properties of\u00a0ethylene-octene copolymer\/nanosilica composites <span style=\"font-style: italic;\">Polymer, 51<\/span>, 5506-5515 DOI: <a href=\"http:\/\/dx.doi.org\/10.1016\/j.polymer.2010.09.051\" rev=\"review\">10.1016\/j.polymer.2010.09.051<\/a><\/span><\/p>\n<p>\u56e0\u4e3a\u6211\u8001\u4eba\u5bb6\u5b66\u4e60\u6d41\u53d8\u5b66\u662f\u5c5e\u4e8e\u81ea\u5b66\u6210\u624d\u7684\u90a3\u79cd\uff0c\u56e0\u6b64\u5f53\u7136\u662f\u7ecf\u5e38\u4e00\u77e5\u534a\u89e3\uff0c\u6709\u6240\u4e0d\u77e5\uff0c\u8ddf\u90a3\u4e9b\u79d1\u73ed\u51fa\u8eab\u7684\u6ca1\u6cd5\u513f\u6bd4\u3002\u5176\u4e2d\u4e00\u4e2a\u6700\u5927\u7684\u7279\u70b9\u5c31\u662f\u6211\u5bf9\u805a\u5408\u7269\u6d41\u53d8\u5b66\u975e\u5e38\u4e4b\u4e0d\u719f\u3002\u56e0\u6211\u7684\u535a\u58eb\u8bfe\u9898\u4e00\u4e0a\u6765\u5c31\u4e0d\u662f\u505a\u805a\u5408\u7269\u6d41\u53d8\u7684\u3002\u4f8b\u5982\u867d\u7136\u6211\u505a\u8fc7\u5f88\u591a\u4e94\u82b1\u516b\u95e8\u53e0\u52a0\uff0c\u4f46\u4ece\u6765\u6ca1\u5f04\u8fc7\u65f6\u6e29\u53e0\u52a0\u3002\u6240\u4ee5\u5e73\u65f6\u603b\u89c9\u5f97\u4e3a\u4e86\u914d\u5f97\u4e0a\u201c\u61c2\u6d41\u53d8\u5b66\u201d\u8fd9\u4e00\u5149\u8363\u79f0\u53f7\uff0c\u6211\u5fc5\u987b\u81ea\u5df1\u8865\u4e60\u4e00\u70b9\u805a\u5408\u7269\u6d41\u53d8\u5b66\u3002\u5426\u5219\u6211\u5c31\u4f1a\u6ca6\u4e3a\u90a3\u79cd\u4eba\u5bb6\u4f1a\u8bf4\u201c\u4ed6\u4e5f\u5c31\u662f\u641e\u8fc7\u4e00\u4e0b\u51dd\u80f6\u7684\u6d41\u53d8\u8fd9\u6837\u5b50\uff0c\u4ed6\u61c2\u4e2a\u5c41\u201d\u7684\u90a3\u79cd\u4eba\u3002\u5f88\u4e0d\u6d4e\u3002<\/p>\n<p>2011\u5e74\u7684\u590d\u6742\u6d41\u4f53\u6d41\u53d8\u5b66\u8bb2\u4e60\u73ed\u597d\u50cf\u521a\u521a\u7ed3\u675f\u3002\u6211\u53bb\u8fc72009\u5e74\u7684\u90a3\u4e00\u5c4a\uff0c\u73b0\u5728\u89c9\u5f97\u6700\u6709\u4ef7\u503c\u7684\u6536\u83b7\u5c31\u662f\u90a3\u672c\u8bb2\u4e49\u3002\u73b0\u5728\u5982\u679c\u6211\u60f3\u8981\u4e86\u89e3\u6bd4\u5982\u8bf4\u805a\u5408\u7269\u586b\u5145\u4f53\u7cfb\u6d41\u53d8\u5b66\u7684\u4e00\u4e9b\u5e38\u8bc6\uff0c\u5c31\u53ef\u4ee5\u4ece\u8fd9\u4e2a\u8bb2\u4e49\u91cc\u7684\u5185\u5bb9\u5f00\u59cb\uff0c\u5173\u952e\u662f\u8bb2\u8bae\u91cc\u6709\u53c2\u8003\u6587\u732e\u8fd9\u4e00\u70b9\u597d\u3002\u6709\u4e86\u8fd9\u4e2a\u8bb2\u4e49\u505a\u540e\u76fe\uff0c\u5e73\u65f6\u6211\u770b\u5230\u76f8\u5173\u7684\u7814\u7a76\u8bba\u6587\u4e5f\u6562\u4e0b\u6765\u770b\u3002\u5426\u5219\u6211\u4f1a\u89c9\u5f97\u6ca1\u6709\u77e5\u8bc6\u57fa\u7840\u7684\u8bdd\u7a81\u7136\u770b\u4e00\u7bc7\u65b0\u7684paper\u662f\u6d6a\u8d39\u65f6\u95f4\u3002\u6700\u8fd1Polymer\u6709\u4e00\u7bc7\u5de5\u4f5c\u6bd4\u8f83\u5b8c\u6574\u7684\u8bba\u6587\uff08<em>Polymer<\/em> <strong>2010<\/strong>, <em>51<\/em>, 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principle\u7684\u3002\u591a\u6570\u6a21\u578b\u662f\u4ececluster\u7684\u5206\u5f62\u7ef4\u6570\u5f00\u59cb\u3001\u4f7f\u7528\u5404\u79cd\u201c\u6709\u6548\u91cf\u201d\u4f8b\u5982\u6709\u6548\u534a\u5f84\u3001\u6709\u6548\u4f53\u79ef\u5206\u6570\u3002\u8fd9\u79cd\u4ece\u5efa\u6a21\u7684\u65f6\u5019\u5c31\u6ca1\u6709\u4fe1\u5fc3\u5c06\u6765\u8ddf\u771f\u5b9e\u5f62\u8c8c\u5bf9\u4e0a\u53f7\u7684\u6a21\u578b\u672c\u6765\u4e5f\u6ca1\u6709\u5fc5\u8981\u53bb\u8ddf\u5f62\u8c8c\u6d4b\u8bd5\u7ed3\u679c\u53bb\u8f83\u771f\u3002<\/p>\n<p>\u586b\u5145\u4f53\u7cfb\u4e2d\u7684cluster\u5206\u5f62\u7ef4\u6570\u9700\u8981\u4f7f\u7528\u5c0f\u89d2\u4e2d\u5b50a\u6216X-ray\u6563\u5c04\u6cd5\u6765\u6d4b\u5b9a\u3002\u8fd9\u4e24\u79cd\u65b9\u6cd5\u90fd\u5f88\u82b1\u5de5\u592b\u3002\u4f8b\u5982SANS\uff0c\u805a\u5408\u7269\u795e\u9a6c\u7684\u90fd\u8981\u6c18\u5316\uff0c\u800c\u4e14\u8981\u8c03\u8282\u6c18\u5316\u5ea6\u505amatching\u3002SAXS\u8fd8\u662fSANS\u4e5f\u597d\uff0c\u89c2\u5bdf\u7684\u7a7a\u95f4\u5c3a\u5ea6\u4e5f\u6709\u9650\uff0c\u4e00\u822c\u51e0\u5341\u7eb3\u7c73\u3002\u6700\u540e\u8fd8\u662f\u8981\u62ff\u5404\u79cd\u5404\u6837\u7684model\u6765fit\uff0c\u4e5f\u5f88\u95f4\u63a5\u3002TEM\u867d\u7136\u53ef\u4ee5\u76f4\u63a5\u770b\u5230\u5b9e\u7269\uff0c\u4f46\u90a3\u662f\u7ecf\u8fc7\u8d85\u8584\u5207\u7247\u7684\uff0c\u4e0d\u662fbulk\uff0c\u800c\u4e14\u636e\u6211\u4ee5\u524d\u7684\u77e5\u8bc6\u8fd9\u4e2a\u53ea\u80fd\u770b\u770b\u6837\u5b50\uff0c\u5f97\u4e0d\u5230\u5206\u5f62\u7ef4\u6570\u3002\u4e0d\u8fc7\u8fd9\u7bc7Polymer\u5012\u662f\u4f7f\u7528\u4e86\u4e00\u4e2a\u4ec0\u4e48\u8f6f\u4ef6\uff0c\u80fd\u901a\u8fc7TEM\u7167\u7247\u6765\u7b97cluster\u7684\u5206\u5f62\u7ef4\u6570\u3002\u5f15\u6587\u662f\u53d1\u8868\u5728\u4e00\u4e2a\u5947\u602a\u7684\u520a\u7269\uff1aBull. Natl. Grassl. Res. Inst.\u3002\u8fd9\u4e2a\u662f\u65e5\u672c\u7684\u201c\u56fd\u7acb\u7eff\u5730\u7814\u7a76\u6240\u201d\u6240\u520a\uff1f\u5f53\u7136\u662f\u627e\u4e0d\u5230\u539f\u6587\u4e86\u3002\u6240\u5e78\u627e\u5230\u4e86\u8fd9\u4e2a\u8f6f\u4ef6\u7684<a href=\"http:\/\/cse.naro.affrc.go.jp\/sasaki\/fractal\/fractal-e.html\">\u5b98\u65b9\u7f51\u7ad9<\/a>\uff0c\u53d1\u73b0\u8fd9\u4e2a\u8f6f\u4ef6\u8fd8\u4e0d\u662f\u76d6\u7684\u3002\u7f51\u7ad9\u4e3e\u7684\u4f8b\u5b50\u662f\u4e00\u5757\u539f\u91ce\u7684\u7167\u7247\uff0c\u5176\u4e2d\u6811\u6728\u7684\u5206\u5e03\u662f\u4e2a\u5206\u5f62\uff0c\u628a\u5b83\u63d0\u53d6\u51fa\u6765\uff0c\u53ef\u4ee5\u8ba1\u7b97\u8ba1\u76d2\u7ef4\u6570\u3002\u8fd9\u4e2a\u771f\u7684\u8981mark\u4e00\u4e0b\u3002\u6211\u9a6c\u4e0a\u60f3\u5230\u7684idea\u5c31\u662f\u53ef\u4ee5\u5229\u7528\u8fd9\u4e2a\u8f6f\u4ef6\u7684\u7b97\u6cd5\uff0c\u63a8\u5e7f\u5230\u4e09\u7ef4\uff0c\u7528\u4e8e\u5904\u7406\u5171\u805a\u7126\u663e\u5fae\u955c\u89c2\u5bdf\u5230\u7684colloidal cluster\u3002<\/p>\n<p>\u4ece\u8fd9\u7bc7Polymer\u6587\u7ae0\u4e2d\u4e86\u89e3\u5230\u7684\u7b2c\u4e8c\u4e2a\u4fe1\u606f\u5c31\u662f\u786e\u5b9a\u5e73\u53f0\u6a21\u91cf<em>G<\/em><sub>N<\/sub><sup>0<\/sup>\u7684\u534a\u7ecf\u9a8c\u65b9\u6cd5\u6709\u597d\u591a\u3002\u6211\u4e00\u5f00\u59cb\u770b\u5230\u5b83\u7528\u4e00\u4e2a\u5f88\u5947\u602a\u7684\u79ef\u5206\u6765\u7b97\u5e73\u53f0\u6a21\u91cf\uff0c\u5c31\u89c9\u5f97\u5f88\u7eb3\u95f7\u3002\u600e\u4e48\u4e00\u6765\u6211\u6ca1\u89c1\u8fc7\u8fd9\u73a9\u610f\u513f\uff0c\u4e8c\u6765\u8fd9\u4e2a\u79ef\u5206\u7684\u610f\u4e49\u4e0d\u660e\uff0c\u600e\u4e48\u4f1a\u662f\u5e73\u53f0\u6a21\u91cf\u6765\u7684\u5462\uff1f\u67e5\u4e86\u5b83\u7684\u5f15\u7528\u6587\u732e\u624d\u77e5\u9053\u5e73\u53f0\u6a21\u91cf\u672c\u6765\u5c31\u6709\u4e00\u5806\u4e0d\u4e09\u4e0d\u56db\u7684\u534a\u7ecf\u9a8c\u65b9\u6cd5\u6765\u786e\u5b9a\u3002\u8fd9\u4e2a\u5f15\u7528\u6587\u732e\u662f\u5218\u741b\u9633\u8001\u5e08\u7684\uff0c\u91cc\u9762\u603b\u7ed3\u5e76\u6bd4\u8f83\u4e86\u5404\u79cd\u5404\u6837\u7684\u534a\u7ecf\u9a8c\u65b9\u6cd5\uff0c\u50cf\u4e2a\u5c0freview\uff0c\u53cd\u5012\u5f88\u503c\u5f97\u6536\u85cf\uff08<i>Polymer<\/i> <b>2006<\/b>, <i>47<\/i>, &lt;4461-4479\uff09\u3002\u4e0d\u8fc7\uff0c\u5728\u5218\u741b\u9633\u7684\u6587\u7ae0\u91cc\u9762\uff0c\u8ba8\u8bba\u7684\u76ee\u7684\u662f\u4e3a\u4e86\u5e94\u7528\u7f20\u7ed3\u9ad8\u5206\u5b50\u7684tube model\u3002\u56e0\u4e3a\u6839\u636etube model\u5982\u679c\u8981\u901a\u8fc7\u5e73\u53f0\u6a21\u91cf\u4f30\u7b97\u7f20\u7ed3\u70b9\u95f4\u5e73\u5747\u5206\u5b50\u91cf\u7684\u8bdd\uff0c\u6240\u7528\u7684\u5e73\u53f0\u6a21\u91cf\u5fc5\u987b\u4e25\u683c\u6839\u636etube model\u7684\u5b9a\u4e49\u6765\u786e\u5b9a\uff0c\u5b9e\u9a8c\u4e0a\u5c31\u662f\u8981\u62ffmodel\u53bbfit\u7ed3\u679c\u3002\u4f46\u56f0\u96be\u7684\u662f\u76ee\u524d\u6700\u5b8c\u5584\u7684tube model\u4ecd\u7136\u6ca1\u529e\u6cd5\u5f88\u597d\u5730fit\u5b9e\u9a8c\uff0c\u56e0\u6b64\u624d\u6709\u5404\u79cd\u5404\u6837\u7684\u534a\u7ecf\u9a8c\u6cd5\u53bb\u53d6<em>G<\/em><sub>N<\/sub><sup>0<\/sup>\uff0c\u7136\u540e\u624d\u6709\u5982\u4f55\u9009\u62e9\u5408\u7406\u7684\u534a\u7ecf\u9a8c\u6cd5\u7684\u95ee\u9898\u3002\u4f46\u662f\u5bf9\u4e8e\u805a\u5408\u7269\u586b\u5145\u4f53\u7cfb\u5c31\u5b8c\u5168\u4e0d\u662f\u4e00\u4e2a\u6545\u4e8b\u4e86\uff0c\u56e0\u4e3a\u77e5\u9053\u5e73\u53f0\u6a21\u91cf\u7684\u76ee\u7684\u5b8c\u5168\u4e0d\u540c\u4e86\u3002\u8fd9\u7bc7Polymer\u6587\u7ae0\u544a\u8bc9\u6211\uff0c\u77e5\u9053\u5e73\u53f0\u6a21\u91cf\u662f\u8981\u7528\u6765\u7b97effective volume\u7684\uff0c\u6839\u636e\u7684\u4e5f\u662f\u4e00\u4e2a\u7ecf\u9a8c\u5230\u4e0d\u884c\u7684\u5f0f\u5b50\uff0c\u6211\u8ba4\u4e3a\u5c31\u662f\u600e\u4e48\u53d6\u5e73\u53f0\u6a21\u91cf\u90fd\u6ca1\u6240\u8c13\u4e86\u3002<\/p>\n<!-- kcite active, but no citations found -->\n<\/div> <!-- kcite-section 3286 -->","protected":false},"excerpt":{"rendered":"<p>Bailly, M., Kontopoulou, M., &amp; El Mabrouk, K. (2010). Effect of polymer\/filler interactions on the structure and rheological properties of\u00a0ethylene-octene copolymer\/nanosilica composites Polymer, 51, 5506-5515 DOI: 10.1016\/j.polymer.2010.09.051 \u56e0\u4e3a\u6211\u8001\u4eba\u5bb6\u5b66\u4e60\u6d41\u53d8\u5b66\u662f\u5c5e\u4e8e\u81ea\u5b66\u6210\u624d\u7684\u90a3\u79cd\uff0c\u56e0\u6b64\u5f53\u7136\u662f\u7ecf\u5e38\u4e00\u77e5\u534a\u89e3\uff0c\u6709\u6240\u4e0d\u77e5\uff0c\u8ddf\u90a3\u4e9b\u79d1\u73ed\u51fa\u8eab\u7684\u6ca1\u6cd5\u513f\u6bd4\u3002\u5176\u4e2d\u4e00\u4e2a\u6700\u5927\u7684\u7279\u70b9\u5c31\u662f\u6211\u5bf9\u805a\u5408\u7269\u6d41\u53d8\u5b66\u975e\u5e38\u4e4b\u4e0d\u719f\u3002\u56e0\u6211\u7684\u535a\u58eb\u8bfe\u9898\u4e00\u4e0a\u6765\u5c31\u4e0d\u662f\u505a\u805a\u5408\u7269\u6d41\u53d8\u7684\u3002\u4f8b\u5982\u867d\u7136\u6211\u505a\u8fc7\u5f88\u591a\u4e94\u82b1\u516b\u95e8\u53e0\u52a0\uff0c\u4f46\u4ece\u6765\u6ca1\u5f04\u8fc7\u65f6\u6e29\u53e0\u52a0\u3002\u6240\u4ee5\u5e73\u65f6\u603b\u89c9\u5f97\u4e3a\u4e86\u914d\u5f97\u4e0a\u201c\u61c2\u6d41\u53d8\u5b66\u201d\u8fd9\u4e00\u5149\u8363\u79f0\u53f7\uff0c\u6211\u5fc5\u987b\u81ea\u5df1\u8865\u4e60\u4e00\u70b9\u805a\u5408\u7269\u6d41\u53d8\u5b66\u3002\u5426\u5219\u6211\u5c31\u4f1a\u6ca6\u4e3a\u90a3\u79cd\u4eba\u5bb6\u4f1a\u8bf4\u201c\u4ed6\u4e5f\u5c31\u662f\u641e\u8fc7\u4e00\u4e0b\u51dd\u80f6\u7684\u6d41\u53d8\u8fd9\u6837\u5b50\uff0c\u4ed6\u61c2\u4e2a\u5c41\u201d\u7684\u90a3\u79cd\u4eba\u3002\u5f88\u4e0d\u6d4e\u3002 2011\u5e74\u7684\u590d\u6742\u6d41\u4f53\u6d41\u53d8\u5b66\u8bb2\u4e60\u73ed\u597d\u50cf\u521a\u521a\u7ed3\u675f\u3002\u6211\u53bb\u8fc72009\u5e74\u7684\u90a3\u4e00\u5c4a\uff0c\u73b0\u5728\u89c9\u5f97\u6700\u6709\u4ef7\u503c\u7684\u6536\u83b7\u5c31\u662f\u90a3\u672c\u8bb2\u4e49\u3002\u73b0\u5728\u5982\u679c\u6211\u60f3\u8981\u4e86\u89e3\u6bd4\u5982\u8bf4\u805a\u5408\u7269\u586b\u5145\u4f53\u7cfb\u6d41\u53d8\u5b66\u7684\u4e00\u4e9b\u5e38\u8bc6\uff0c\u5c31\u53ef\u4ee5\u4ece\u8fd9\u4e2a\u8bb2\u4e49\u91cc\u7684\u5185\u5bb9\u5f00\u59cb\uff0c\u5173\u952e\u662f\u8bb2\u8bae\u91cc\u6709\u53c2\u8003\u6587\u732e\u8fd9\u4e00\u70b9\u597d\u3002\u6709\u4e86\u8fd9\u4e2a\u8bb2\u4e49\u505a\u540e\u76fe\uff0c\u5e73\u65f6\u6211\u770b\u5230\u76f8\u5173\u7684\u7814\u7a76\u8bba\u6587\u4e5f\u6562\u4e0b\u6765\u770b\u3002\u5426\u5219\u6211\u4f1a\u89c9\u5f97\u6ca1\u6709\u77e5\u8bc6\u57fa\u7840\u7684\u8bdd\u7a81\u7136\u770b\u4e00\u7bc7\u65b0\u7684paper\u662f\u6d6a\u8d39\u65f6\u95f4\u3002\u6700\u8fd1Polymer\u6709\u4e00\u7bc7\u5de5\u4f5c\u6bd4\u8f83\u5b8c\u6574\u7684\u8bba\u6587\uff08Polymer 2010, 51, 5506-5515\uff09\uff0c\u91cc\u9762\u6709\u4e9b\u7528\u5230\u7684\u65b9\u6cd5\u6211\u9700\u8981\u8bb0\u4e2a\u7b14\u8bb0\u3002 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M^a$\u6765\u4f30\u7b97\u5206\u5b50\u91cf\u3002\u6587\u732e\u7684Mark\u2014Houwink\u5173\u7cfb\u4e00\u822c\u662f\u901a\u8fc7\u5bf9\u4e0d\u540c\u5206\u5b50\u91cf\u7684\u5355\u5206\u6563\u6837\u54c1\u540c\u65f6\u6d4b\u91cf\u7279\u6027\u7c98\u6570\u548c\u7edd\u5bf9\u5e73\u5747\u5206\u5b50\u91cf\uff08\u4f8b\u5982\u6e17\u900f\u538b\u5f97\u5230\u7684\u6570\u5747\u5206\u5b50\u91cf\u6216\u8005\u5149\u6563\u5c04\u5f97\u5230\u7684\u91cd\u5747\u5206\u5b50\u91cf\uff09\u6765\u7ed9\u51fa\u7684\u3002\u5f53\u7136\uff0c\u771f\u6b63\u7684\u5355\u5206\u6563\u6837\u54c1\u53ef\u4ee5\u5f53\u4f5c\u6570\u5747\u4e0e\u91cd\u5747\u65e0\u5dee\u522b\u3002\u6587\u732e\u62a5\u5bfc\u7684Mark\u2014Houwink\u5173\u7cfb\u90fd\u662f\u5728\u7279\u5b9a\u6eb6\u5242\u548c\u6e29\u5ea6\u6761\u4ef6\u4e0b\u7684\u3002\u4f60\u4e3a\u4e86\u83b7\u5f97\u5206\u5b50\u91cf\uff0c\u53ef\u4ee5\u5728\u76f8\u5e94\u7684\u6761\u4ef6\u4e0b\u6d4b\u8bd5\u5f53\u524d\u6837\u54c1\u7684\u7279\u6027\u7c98\u6570\u7136\u540e\u5e94\u7528\u6587\u732e\u7684Mark\u2014Houwink\u53c2\u6570\u3002\u4f46\u4f60\u66f4\u9700\u8981\u7684\u5f80\u5f80\u662f\u53e6\u4e00\u79cd\u4efb\u610f\u6eb6\u5242\u6216\u6e29\u5ea6\u4e0b\u7684\u5206\u5b50\u5c3a\u5bf8\u3002\u5149\u77e5\u9053\u5206\u5b50\u91cf\u4e0d\u591f\uff0c\u8fd8\u8981\u77e5\u9053\u6269\u5f20\u6bd4$\\alpha$\u3001Flory\u6307\u6570$\\nu$\u7b49\u3002\u66f4\u9ebb\u70e6\u7684\u662f\uff0c\u627e\u4e0d\u5230Mark\u2014Houwink\u5173\u7cfb\u7684\u62a5\u9053\uff0c\u53ea\u627e\u5230\u5bf9\u5355\u4e2a\u6837\u54c1\u505a\u7684\u5149\u6563\u5c04\u6570\u636e\u3002\u8fd9\u65f6\u5c31\u9700\u8981\u57fa\u4e8e\u666e\u904d\u63a5\u53d7\u7684\uff08\u4ea6\u5373\u5ba1\u7a3f\u4eba\u4e00\u822c\u4e0d\u8d28\u7591\u7684\uff09\u9ad8\u5206\u5b50\u6eb6\u6db2\u7406\u8bba\u6765\u4ece\u8fd9\u4e9b\u6587\u732e\u6570\u636e\u4f30\u7b97\u5f53\u524d\u6761\u4ef6\u4e0b\u7684\u5206\u5b50\u5c3a\u5bf8\u3002 \u4e3a\u4e86\u6e05\u6670\uff0c\u6211\u4eec\u628a\u805a\u5408\u7269\u79cd\u7c7b\u7528\u5927\u5199\u82f1\u6587\u5b57\u6bcdA\u3001B\u6765\u8868\u793a\uff0c\u628a\u4e00\u5b9a\u7684\u6eb6\u5242\u548c\u6e29\u5ea6\u6761\u4ef6\u7528\u5e0c\u814a\u5b57\u6bcd\u03b8\u3001\u03b1\u3001\u03b2\u6765\u8868\u793a\uff0c\u5176\u4e2d\u03b8\u8868\u793a\u65e0\u6270\u6761\u4ef6\u3002\u8fd9\u4e9b\u90fd\u53ea\u4f1a\u7528\u4f5c\u4e0b\u6807\u3002\u4e0d\u968f\u6761\u4ef6\u53d8\u5316\u7684\u91cf\u4e0d\u6807\u5e0c\u814a\u5b57\u6bcd\u4e0b\u6807\u3002\u4e3a\u4e86\u8fdb\u4e00\u6b65\u7b80\u5316\uff0c\u5f53\u524d\u5173\u5fc3\u7684\u805a\u5408\u7269\uff0c\u5c31\u4e0d\u6807\u5b57\u6bcdA\u4e86\uff0c\u53e6\u4e00\u79cd\u805a\u5408\u7269\u624d\u4f1a\u6807B\u3002\u4f8b\u5982$\\alpha_\\alpha$\u8868\u793a\u5f53\u524d\u5173\u5fc3\u7684\u805a\u5408\u7269\u5728\u7b2c\u4e00\u79cd\u6761\u4ef6\u4e0b\uff08\u6761\u4ef6\u03b1\uff09\u7684\u6269\u5f20\u7cfb\u6570\u3002\u5c31\u7b97\u662f\u5f53\u524d\u5173\u5fc3\u7684\u9ad8\u5206\u5b50\uff0c\u6587\u732e\u4f7f\u7528\u7684\u5206\u5b50\u91cf\u8ddf\u4f60\u624b\u5934\u4e0a\u6837\u54c1\u7684\u5206\u5b50\u91cf\u662f\u4e0d\u4e00\u6837\u7684\uff0c\u6211\u4eec\u6700\u7ec8\u662f\u8981\u77e5\u9053\u6211\u4eec\u624b\u5934\u4e0a\u7684\u6837\u54c1\u7684\u5206\u5b50\u91cf\u3002\u4e8e\u662f\uff0c\u7528\u4e00\u4e2aprime\u6765\u8868\u793a\u6211\u4eec\u624b\u5934\u4e0a\u7684\u6837\u54c1\u3002\u4f8b\u5982$M^\\prime$\u662f\u6211\u4eec\u624b\u5934\u4e0a\u7684\u6837\u54c1\u7684\u5206\u5b50\u91cf\uff0c$\\left[\\eta\\right]^\\prime_{\\beta}$\u662f\u6211\u4eec\u624b\u5934\u4e0a\u7684\u6837\u54c1\u5728\u03b2\u6761\u4ef6\u4e0b\u7684\u7279\u6027\u7c98\u6570\u3002 \u9996\u5148\u9700\u8981\u4f30\u7b97\u8fd9\u79cd\u805a\u5408\u7269\u7684\u5355\u4f4d\u94fe\u957f\u8d28\u91cf$M_1$\u6216\u8005\u91cd\u590d\u5355\u5143\u957f\u5ea6$l_1$\u3002\u5b83\u4eec\u4e4b\u95f4\u6709\u5173\u7cfb$M_1=M_0\/l_1$\uff0c\u5176\u4e2d$M_0$\u662f\u91cd\u590d\u5355\u539f\u7684\u8d28\u91cf\u3002$l_1$\u4e00\u822c\u662f\u6839\u636e\u91cd\u590d\u5355\u5143\u7684\u952e\u957f\u952e\u89d2\u7b49\u51e0\u4f55\u4fe1\u606f\u4f30\u7b97\u7684\u3002\u4e0d\u7ba1\u600e\u4e48\u53bb\u4f30\u7b97\uff0c\u6700\u540e\u8981\u7528\u7684\u662f$M_1$\u3002\u4e00\u822c\u6587\u732e\u91cc\u4f1a\u6709\u4f30\u7b97\u7684\uff0c\u4e0d\u7528\u81ea\u5df1\u505a\u3002 \u4e00\u822c\u80fd\u67e5\u5230\u7684\u5149\u6563\u5c04\u5de5\u4f5c\uff0c\u90fd\u662f\u5728\u67d0\u6eb6\u5242\u548c\u6e29\u5ea6\u4e0b\uff08\u8bb0\u4e3a\u6761\u4ef6\u03b1\uff09\u505a\u4e00\u4e2aZimm\u56fe\uff0c\u53ef\u4ee5\u5f97\u5230\u6837\u54c1\u7684\uff08\u91cd\u5747\uff09\u5206\u5b50\u91cf$M$\u3001\u7b2c\u4e8c\u7ef4\u5229\u7cfb\u6570$A_{2,\\alpha)$\u548c\u5747\u65b9\u56de\u8f6c\u534a\u5f84$\\left\\langle S^2\\right\\rangle_\\alpha$\u3002\u5c31\u7b97\u8bba\u6587\u7684\u6b63\u6587\u6ca1\u6709\u7ed9\u51fa\u503c\uff0c\u53ea\u8981\u7ed9\u4e86\u6570\u636e\u56fe\uff0c\u4f60\u81ea\u5df1\u4e5f\u53ef\u4ee5\u4ece\u56fe\u4e2d\u5f97\u5230\u3002\u8fd9\u90e8\u5206\u7684\u539f\u7406\u6bd4\u8f83\u57fa\u672c\uff0c\u4e00\u822c\u7684\u9ad8\u5206\u5b50\u6eb6\u6db2\u7406\u8bba\u7684\u4e66\u7684\u8bb2\u8ff0\u4e0d\u4f1a\u6709\u4ec0\u4e48\u4ee4\u4eba\u56f0\u60d1\u7684\u5dee\u5f02\uff0c\u5c31\u4e0d\u5728\u6b64\u89e3\u91ca\u4e86\u3002\u5982\u679c\u627e\u5230\u6587\u732e\u505a\u4e86\u4e0d\u6b62\u4e00\u4e2a\u5206\u5b50\u91cf\u7684\u6837\u54c1\uff0c\u4f46\u662f\u6ca1\u6709\u6d4b\u5b83\u4eec\u7684\u7279\u6027\u7c98\u6570$\\left[\\eta\\right]_\\alpha$\u56e0\u6b64\u8fd8\u662f\u4e0d\u77e5\u9053Mark\u2014Houwink\u7cfb\u6570\uff0c\u90a3\u4f60\u4ecd\u7136\u53ef\u4ee5\u65b9\u4fbf\u5730\u6839\u636e$\\left\\langle S^2\\right\\rangle^{1\/2}_\\alpha\\sim M^{\\nu_\\alpha}$\u5f97\u5230\u6587\u732e\u6761\u4ef6\u4e0b\u7684$\\nu_\\alpha$\uff08\u54ea\u6015\u6587\u732e\u6ca1\u505a\u4f60\u4e5f\u53ef\u4ee5\u7528\u5b83\u7684\u6570\u636e\u81ea\u5df1\u505a\uff0c\u8fd9\u4e00\u70b9\u5728\u4e0b\u6587\u4e2d\u5c31\u4e0d\u518d\u91cd\u590d\u63d0\u793a\u4e86\uff09\u3002 \u5982\u679c\u6587\u732e\u53ea\u505a\u4e86\u4e00\u4e2a\u5206\u5b50\u91cf\u7684\u6837\u54c1\uff0c\u81f3\u5c11\u4e5f\u5df2\u7ecf\u6709$M$\u548c$A_2$\u4e86\u3002\u8fd9\u65f6\u53ef\u4ee5\u901a\u8fc7\u6269\u5f20\u7cfb\u6570\u6765\u6c42Flory\u6307\u6570\u3002\u5982\u679c\u6269\u5f20\u7cfb\u6570\u662f\u5173\u4e8e\u5747\u65b9\u672b\u7aef\u8ddd\u7684\uff0c\u5c31\u6709\uff1a$\\alpha_\\alpha=\\left\\langle h^2\\right\\rangle^{1\/2}_\\alpha\/\\left\\langle h^2\\right\\rangle_\\theta^{1\/2}$\uff0c\u5176\u4e2d\uff0c$\\left\\langle h^2\\right\\rangle^{1\/2} = b_\\alpha N_\\alpha^\\nu_\\alpha$\uff0c$\\left\\langle h^2\\right\\rangle_\\theta^{1\/2} = b_\\alpha N_\\alpha^{1\/2}$\uff0c$b_\\alpha$\u662fKuhn\u94fe\u6bb5\u957f\u5ea6\uff0c$N_\\alpha$\u662fKuhn\u94fe\u6bb5\u7684\u4e2a\u6570\u3002$N_\\alpha=M\/\\left(M_1 b_\\alpha\\right)$\u3002\u90a3\u4e48\u5c31\u53ef\u4ee5\u7531\u6269\u5f20\u7cfb\u6570\u8ba1\u7b97Flory\u6307\u6570\u4e86\uff0c\u6240\u7f3a\u7684\u53c2\u6570\u662f$\\alpha_\\alpha$\u548c$b_alpha$\u3002 $b_\\alpha$\u4e5f\u662f\u8981\u627e\u6587\u732e\u7684\u3002\u6587\u732e\u4e00\u822c\u6709\u4e24\u79cd\u505a\u6cd5\uff1a\u4e00\u662f\u5149\u6563\u5c04\u5f97\u5230\u4e86\u6bd4\u8f83\u5bbd\u6ce2\u77e2\u8303\u56f4\u7684form factor\uff0c\u53ef\u4ee5\u770b\u5230coil\u884c\u4e3a\u5411rod\u884c\u4e3a\u7684\u8f6c\u53d8\uff0c\u8fd9\u4e2a\u8f6c\u53d8\u6240\u5bf9\u5e94\u7684\u5c3a\u5ea6\u5c31\u662f$b$\u3002\u4e8c\u662f\u901a\u8fc7\u4e00\u4e9b\u542b\u6709\u6301\u7eed\u957f\u5ea6$l_\\mathrm{p}$\u53c2\u6570\u7684\u94fe\u6a21\u578b\u6765\u62df\u5408\u6d4b\u5f97\u7684$\\left\\langle S^2\\right\\rangle$\u6570\u636e\u5f97\u5230$l_\\mathrm{p}$\u4ece\u800c\u5f97\u5230$b$\u3002\u4e0d\u7ba1\u600e\u4e48\u6837\u4f60\u8981\u67e5\u5230\u8fd9\u4e2a\u6570\u636e\u3002\u7531\u4e8e$b_\\alpha$\u7684\u503c\u662f\u4f9d\u8d56\u6761\u4ef6\uff0c\u6240\u4ee5\u6700\u597d\u662f\u540c\u4e00\u4e2a\u62a5\u9053\u91cc\u4e0d\u4ec5\u4f5c\u4e86Zimm\u56fe\uff0c\u8fd8\u628a\u5149\u5f3a\u548c\u6ce2\u77e2\u66f2\u7ebf\u7ed9\u51fa\u6765\uff0c\u7136\u540e\u4f9b\u4f60\u7528\u7b2c\u4e00\u79cd\u65b9\u6cd5\u4f30\u7b97\u51fa$b$\u3002\u6587\u732e\u81ea\u5df1\u628a\u8fd9\u4ef6\u4e8b\u505a\u4e86\u7684\u8bdd\u5c31\u66f4\u597d\u4e86\u3002 \u81f3\u4e8e\u6269\u5f20\u7cfb\u6570\uff0c\u662f\u8fd9\u6837\u5f97\u5230\u7684\uff1a\u901a\u8fc7\u6bd4\u8f83\u53e6\u4e00\u79cd\u9ad8\u5206\u5b50B\u7684$M_\\mathrm{B}$\u3001$A_{2,\\mathrm{B}}$\u548c\u6269\u5f20\u7cfb\u6570$\\alpha_{B\\beta}$\u6765\u4f30\u7b97\u5f53\u524d\u7684\u9ad8\u5206\u5b50\u5728\u6761\u4ef6\u03b1\u7684\u6269\u5f20\u7cfb\u6570$\\alpha_\\alpha$\u3002\u5177\u4f53\u5730\u8bb2\uff0c\u4f60\u9700\u8981\u67e5\u627e\u53e6\u4e00\u79cd\u7814\u7a76\u5f97\u6bd4\u8f83\u591a\u7684\u9ad8\u5206\u5b50B\u7684\u6570\u636e\uff0c\u8fd9\u6837\u5c31\u6709\u671b\u627e\u5230\u540c\u65f6\u62a5\u9053\u4e86\u5176\u5206\u5b50\u91cf$M_\\mathrm{B}$\u548c\u67d0\u6761\u4ef6\uff08\u8bb0\u4e3a\u03b2\uff09\u4e0b\u7684$A_{2,\\mathrm{B}}$\u548c\u6269\u5f20\u6bd4$\\alpha_\\mathrm{B\\beta}$\u7684\u6587\u732e\u3002\u7136\u540e\uff0c\u6839\u636eFlory\u7684\u6269\u5f20\u7cfb\u6570\u5173\u7cfb\u5f0f$\\alpha^5-\\alpha^3=2C_\\mathrm{M}\\psi\\left(1-\\Theta\/T\\right)M^{1\/2}$\u53ef\u77e5\uff0c\u4e0d\u540c\u9ad8\u5206\u5b50\u5728\u540c\u4e00\u7b2c\u4e8c\u7ef4\u5229\u7cfb\u6570\u4e0b\u7684$\\left(\\alpha^5-\\alpha^3\\right)\/M^{1\/2}$\u503c\u662f\u5dee\u522b\u5f88\u5c0f\u7684\u3002\u4e8e\u662f\u4f60\u5c31\u53ef\u4ee5\u901a\u8fc7$\\frac{\\alpha_\\alpha^5-\\alpha_\\alpha^3}{M^{1\/2}}=\\frac{\\alpha_\\mathrm{B\\beta}^5-\\alpha_\\mathrm{B\\beta}^3}{M_\\mathrm{B}^{1\/2}}$\u6765\u8ba1\u7b97\u4f60\u8981\u7684\u6269\u5f20\u7cfb\u6570$\\alpha_\\alpha$\u4e86\u3002\u6709\u4e86$\\alpha_\\alpha$\u548c$b_\\alpha$\uff0c\u5c31\u53ef\u4ee5\u6c42$\\nu_\\alpha$\u4e86\u3002 \u77e5\u9053\u4e86$\\nu_\\alpha$\uff0c\u4e0b\u4e00\u6b65\u5c31\u662f\u8ba1\u7b97\u6211\u4eec\u624b\u5934\u4e0a\u7684\u6837\u54c1\u7684\u5206\u5b50\u91cf$M^\\prime$\u3002\u8fd9\u65f6\u5c31\u9700\u8981\u4f7f\u7528\u7279\u6027\u7c98\u6570\u7684\u6570\u636e\u4e86\u3002\u4f60\u9700\u8981\u518d\u4ece\u6587\u732e\u4e2d\u627e\u5230\u76f8\u540c\u6761\u4ef6\u4e0b\u7684\u7279\u6027\u7c98\u6570$\\left[\\eta\\right]_\\alpha$\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u4f60\u4ece\u6587\u732e\u4e2d\u4e00\u5171\u8981\u627e\u5230\u5bf9\u67d0\u5206\u5b50\u91cf\u4e3a$M$\u7684\u6837\u54c1\u5728\u540c\u4e00\u6761\u4ef6\u03b1\u4e0b\u7684\uff1a$b_\\alpha$\u548c$\\left[\\eta\\right]_\\alpha$\uff0c\u6309\u4e0a\u8ff0\u7684\u8ba1\u7b97\u65b9\u6cd5\u7b97\u51fa$\\nu_\\alpha$\u3002\u540c\u65f6\uff0c\u4f60\u624b\u5934\u4e0a\u7684\u6837\u54c1\u4e5f\u8981\u81ea\u5df1\u62ff\u53bb\u5728\u76f8\u540c\u7684\u6761\u4ef6\u4e0b\u6d4b\u7279\u6027\u7c98\u6570\uff0c\u5f97\u5230$\\left[\\eta\\right]^\\prime_\\alpha$\u3002\u8fd9\u65f6\u6839\u636eFlory\u2014Fox\u5173\u7cfb\u6709$\\left[\\eta\\right]_\\alpha\/\\left[\\eta\\right]^\\prime_\\alpha=\\left(M\/M^\\prime\\right)^{\\left(3\\nu_\\alpha-1\\right)}$\uff0c\u4ece\u800c\u5f97\u5230\u4f60\u624b\u5934\u4e0a\u6837\u54c1\u7684\u5206\u5b50\u91cf$M^\\prime$\u3002 \u5728\u6b64\u57fa\u7840\u4e0a\uff0c\u5982\u679c\u8981\u4f30\u7b97\u53e6\u4e00\u79cd\u6eb6\u5242\u6216\u6e29\u5ea6\u6761\u4ef6\uff08\u8bb0\u4e3a\u03b3\uff09\u4e0b\u7684\u5404\u79cd\u5c3a\u5bf8\uff0c\u5c31\u5fc5\u987b\u77e5\u9053\u65b0\u6761\u4ef6\u4e0b\u8fd9\u4e00\u9ad8\u5206\u5b50\u6837\u54c1\u7684\u7279\u6027\u7c98\u6570$\\left[\\eta\\right]_\\gamma$\u548c\u5206\u5b50\u91cf$M$\uff0c\u8fd9\u540c\u6837\u8981\u4ece\u6587\u732e\u91cc\u627e\u3002\u7b80\u5355\u5730\u8bf4\uff0c\u5c31\u662f\u4f60\u60f3\u83b7\u5f97\u4f60\u624b\u5934\u4e0a\u6837\u54c1\u6761\u4ef6\u03b3\u7684\u4fe1\u606f\uff0c\u4f60\u5c31\u8981\u627e\u5230\u6709\u4eba\u4e5f\u5728\u6761\u4ef6\u03b3\u4e0b\u505a\u8fc7\u540c\u79cd\u9ad8\u5206\u5b50\u7684\u5b9e\u9a8c\uff0c\u5426\u5219\u5c31\u6ca1\u620f\u4e86\u3002\u5982\u679c\u6709\uff0c\u90a3\u4f60\u53ea\u9700\u8981\u518d\u5728\u6761\u4ef6\u03b3\u4e0b\u6d4b\u4e00\u6b21\u624b\u5934\u4e0a\u6837\u54c1\u7684\u7279\u6027\u7c98\u6570$\\left[\\eta\\right]^\\prime_\\gamma$\uff0c\u5c31\u53ef\u4ee5\u7c7b\u4f3c\u5730\u7528\u5173\u7cfb$\\left[\\eta\\right]_\\gamma\/\\left[\\eta\\right]^\\prime_\\gamma=\\left(M\/M^\\prime\\right)^{\\left(3\\nu_\\gamma-1\\right)}$\u5f97\u5230\u65b0\u6761\u4ef6\u7684Flory\u6307\u6570\u3002\u7136\u540e\u53ef\u4ee5\u5229\u7528Flory\u2014Fox\u5173\u7cfb\u672c\u8eab\u5f97\u5230\u65b0\u6761\u4ef6\u4e0b\u7684Kuhn\u94fe\u6bb5\u6570\u91cf$N^\\prime_\\gamma$\u548c\u957f\u5ea6$b_\\gamma$\uff0c\u8fdb\u800c\u5f97\u5230\u5747\u65b9\u672b\u7aef\u8ddd$\\left\\langle h^2\\right\\rangle_\\gamma^\\prime$\u3002 \u6eb6\u80c0\u94fe\u7684\u5747\u65b9\u56de\u8f6c\u534a\u5f84$\\left\\langle S^2\\right\\rangle^{1\/2}$\u4e0e\u5747\u65b9\u672b\u7aef\u8ddd$\\left\\langle h^2\\right\\rangle^{1\/2}$\u4e4b\u95f4\u6ca1\u6709\u7b80\u5355\u7684\u7cbe\u786e\u5173\u7cfb\u3002\u4f46\u4ecd\u7136\u53ef\u4ee5\u6309\u6587\u672b\u5173\u4e8e\u6269\u5f20\u7cfb\u6570\u7684\u8865\u5145\u8bf4\u660e\u53ef\u4ee5\u4f5c\u6b64\u6362\u7b97\uff0c\u5f97\u5230\u4f60\u624b\u5934\u4e0a\u6837\u54c1\u7684\u5747\u65b9\u56de\u8f6c\u534a\u5f84$\\left\\langle S^2\\right\\rangle^\\prime_\\gamma$\u3002\u6709\u4e86\u5747\u65b9\u56de\u8f6c\u534a\u5f84\uff0c\u4f60\u5c31\u53ef\u4ee5\u8ba1\u7b97\u65b0\u6761\u4ef6\u4e0b\u5f53\u524d\u6837\u54c1\u7684\u5f88\u591a\u4fe1\u606f\uff0c\u4f8b\u5982\u534a\u6d53\u6eb6\u6db2\u7684\u63a5\u89e6\u6d53\u5ea6$c^*=3M\/\\left(4\\pi N_\\mathrm{A}\\left\\langle S^2\\right\\rangle^{1\/2}\\right)$\uff0c\u4ee5\u53ca\u76f8\u5173\u957f\u5ea6\uff08blob size\uff09$\\xi=\\left\\langle S^2\\right\\rangle^{1\/2}\\left(c\/c^*\\right)^{-\\nu\/\\left(3\\nu-1\\right)}$\u3002\u6ce8\u610f\u5f0f\u4e2d\u4f9d\u8d56\u6761\u4ef6\u7684\u91cf\u8981\u53d6\u540c\u4e00\u6761\u4ef6\u4e0b\u7684\u503c\u3002 \u5bf9\u4e8e\u9ad8\u5206\u5b50\u6eb6\u6db2\u4ea4\u8054\u5f62\u6210\u7684\u51dd\u80f6\uff0c\u4e5f\u53ef\u4ee5\u5728\u540c\u6837\u7684\u6eb6\u5242\u548c\u6e29\u5ea6\uff08\u5982\u6761\u4ef6\u03b3\uff0c\u4e0d\u518d\u6807\u793a\u4e86\uff09\u4e0b\u6d4b\u91cf\u5e73\u53f0\u6a21\u91cf$G_\\mathrm{p}$\uff0c\u7136\u540e\u7528Nijenhuis\u7684\u5f0f\u5b50\uff0c\u5f97\u5230\u4ea4\u8054\u70b9\u95f4\u5206\u5b50\u91cf$M_\\mathrm{c}$\u3002 \\begin{equation}G_\\mathrm{p}=\\frac{2cRT}{M}\\left(\\frac{M}{M_\\mathrm{c}}\\frac{f-1}{f}-1\\right)\\left(1-w_\\mathrm{s}\\right)\\end{equation}\\begin{equation}\\frac{M}{M_\\mathrm{c}}=-\\frac{\\mathrm{ln}w_\\mathrm{s}}{1-w_\\mathrm{s}}\\frac{1-w_\\mathrm{s}^{0.5f}}{1-w_\\mathrm{s}^{0.5f-1}}\\end{equation} $M$\u662f\u9ad8\u5206\u5b50\u7684\u5206\u5b50\u91cf\uff0c$c$\u662f\u9ad8\u5206\u5b50\u6d53\u5ea6\uff08\u5355\u4f4d\u4f53\u79ef\u7684\u9ad8\u5206\u5b50\u8d28\u91cf\uff09\u3002$f$\u662f\u4ea4\u8054\u70b9\u7684\u5b98\u80fd\u5ea6\uff0c$w_\\mathrm{s}$\u662f\u51dd\u80f6\u4e2d\u7684sol fraction\u3002 \u5f97\u5230\u4e86\u4ea4\u8054\u70b9\u95f4\u5e73\u5747\u5206\u5b50\u91cf\uff0c\u5c31\u53ef\u4ee5\u901a\u8fc7\u4e4b\u524d\u5f97\u5230\u7684\u540c\u6837\u6761\u4ef6\u4e0b\u7684\u6837\u54c1\u7684$M$\u3001$M_1$\u3001$\\nu$\u3001$b$\u8ba1\u7b97\u4ea4\u8054\u70b9\u95f4\u5e73\u5747Kuhn\u94fe\u6bb5\u6570$N_\\mathrm{c}$\uff0c\u8fdb\u800c\u5047\u8bbe\u7f51\u773c\u5c3a\u5bf8\u8fd1\u4f3c\u7b49\u4e8e\u4ea4\u8054\u70b9\u95f4\u94fe\u6bb5\u7684\u5747\u65b9\u672b\u7aef\u8ddd\uff0c\u53ef\u5f97\u7f51\u773c\u5c3a\u5bf8$\\xi=bN_\\mathrm{c}^\\nu$\u3002 \u529f\u80fd\u6027\u6c34\u51dd\u80f6\u7684\u6eb6\u5242\u6761\u4ef6\u5343\u53d8\u4e07\u5316\u3002\u6e29\u5ea6\u4f9d\u8d56\u6027\u5c1a\u4e14\u6709\u70ed\u529b\u5b66\u4e00\u822c\u5173\u7cfb\u53ef\u4f9d\u8d56\uff0c\u4f46\u662f\u4e0d\u540cpH\u6216\u76d0\u7684\u79cd\u7c7b\u3001\u6d53\u5ea6\uff0c\u4e0d\u53ef\u80fd\u90fd\u6709\u4eba\u505a\u8fc7\u5149\u6563\u5c04\u5b9e\u9a8c\u3002\u54ea\u6015\u81ea\u5df1\u6709\u5149\u6563\u5c04\uff0c\u4e5f\u4e0d\u53ef\u80fd\u53d8\u4e00\u4e0b\u76d0\u6d53\u5ea6\u5c31\u6d4b\u4e00\u6b21\u6216\u8005\u641e\u51fa\u4ec0\u4e48\u5de5\u4f5c\u66f2\u7ebf\u6765\u3002\u8fd9\u65f6\u6211\u4eec\u8981\u6709\u4e00\u79cd\u4e0d\u90a3\u4e48\u7ea0\u7ed3\u7684\u65b9\u5f0f\u3002\u5728\u5904\u7406\u8fd9\u79cd\u95ee\u9898\u7684\u65f6\u5019\uff0c\u53ea\u80fd\u628a\u6761\u4ef6\u4f9d\u8d56\u7684\u53c2\u6570\u90fd\u5f53\u4f5c\u53d8\u91cf\uff0c\u770b\u80fd\u4e0d\u80fd\u641e\u4e00\u4e9b\u62df\u5408\u4e86\u3002 \u5173\u4e8e\u6269\u5f20\u7cfb\u6570\u7684\u8865\u5145\u8bf4\u660e \u524d\u9762\u63d0\u5230\u5bf9\u4e8e\u6eb6\u80c0\u94fe\u7684\u5747\u65b9\u56de\u8f6c\u534a\u5f84$\\left\\langle S^2\\right\\rangle^{1\/2}$\u4e0e\u5747\u65b9\u672b\u7aef\u8ddd$\\left\\langle h^2\\right\\rangle^{1\/2}$\u4e4b\u95f4\u6ca1\u6709\u7b80\u5355\u7684\u7cbe\u786e\u5173\u7cfb\uff0c\u6269\u5f20\u7cfb\u6570\u4e5f\u9700\u8981\u5206\u5f00\u5b9a\u4e49\u3002\u5747\u65b9\u672b\u7aef\u8ddd\u7684\u6269\u5f20\u7cfb\u6570\u662f$\\alpha_h\\equiv\\left\\langle h^2\\right\\rangle^{1\/2}\/\\left\\langle h^2\\right\\rangle_\\mathrm{\\theta} ^{1\/2}$\uff1b\u5747\u65b9\u56de\u8f6c\u534a\u5f84\u7684\u6269\u5f20\u7cfb\u6570\u662f$\\alpha_S\\equiv\\left\\langle S^2\\right\\rangle^{1\/2}\/\\left\\langle\u2026","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":4792,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/4792","url_meta":{"origin":3286,"position":1},"title":"\u65f6\u6e29\u53e0\u52a0\u5f97\u5230\u7684\u677e\u5f1b\u65f6\u95f4\u662f\u4ec0\u4e48\u677e\u5f1b\u65f6\u95f4\uff1f","author":"Andrew","date":"2012\u5e747\u670814\u65e5","format":false,"excerpt":"\u8fd9\u4e2a\u95ee\u9898\u641e\u4e86\u6211\u4e00\u4e2a\u901a\u5bb5\uff0c\u8bb0\u5f55\u4e00\u4e0b\u3002 \u65f6\u6e29\u53e0\u52a0\u6027\u8d28\u662f\u6307\u4f53\u7cfb\u5728\u4e0d\u540c\u6e29\u5ea6\u6d4b\u91cf\u5f97\u5230\u7684\u76f8\u5173\u51fd\u6570\u6216\u54cd\u5e94\u51fd\u6570\u53ef\u5728\u65f6\u95f4\u8f74\u5e73\u79fb\u53e0\u52a0\u6210\u4e00\u6761\u4e3b\u66f2\u7ebf\u3002\u5e73\u79fb\u56e0\u5b50aT\u5e38\u5e38\u8ba4\u4e3a\u662f\u677e\u5f1b\u65f6\u95f4\u7684\u6bd4\u503c\uff1a \u4f46\u662f\uff0c\u5b9e\u9645\u6837\u54c1\u5f80\u5f80\u5177\u6709\u4e00\u4e2a\u8f83\u5bbd\u7684\u677e\u5f1b\u65f6\u95f4\u8c31\u3002\u90a3\u4e48\u4e0a\u5f0f\u4e2d\u7684\u677e\u5f1b\u65f6\u95f4\u5230\u5e95\u662f\u54ea\u4e2a\u503c\uff0c\u662f\u5e73\u5747\u503c\u8fd8\u662f\u6700\u5927\u503c\u8fd8\u662f\u4ec0\u4e48\uff1f \u73bb\u7483\u6001\u4f53\u7cfb\u7684\u76f8\u5173\u51fd\u6570\u6216\u54cd\u5e94\u51fd\u6570\u5e38\u5e38\u7b26\u5408Kohlrausch-Williams-Watts\uff08KWW\uff09\u5173\u7cfb\uff1a \u5982\u679c\u4f53\u7cfb\u53ea\u6709\u4e00\u4e2a\u677e\u5f1b\u65f6\u95f4\u503c\uff0c\u5219\u03b2 = 1\uff0c\u03c40\u5c31\u662f\u677e\u5f1b\u65f6\u95f4\u3002\u5982\u679c0 < \u03b2 < 1\uff0c\u5219\u53cd\u6620\u4f53\u7cfb\u6709\u4e00\u4e2a\u5bbd\u5206\u5e03\u7684\u677e\u5f1b\u65f6\u95f4\u8c31\u3002\u03c40\u53ea\u80fd\u662f\u4e00\u4e2a\u7528\u6765\u63cf\u8ff0\u76f8\u5173\u51fd\u6570\u6216\u54cd\u5e94\u51fd\u6570\u7684\u7279\u5f81\u65f6\u95f4\u3002\u65f6\u6e29\u53e0\u52a0\u5f97\u5230\u7684\u5c31\u662f\u03c40\u7684\u6bd4\u503c\u3002\u03c40\u8ddf\u677e\u5f1b\u65f6\u95f4\u8c31\u6709\u4ec0\u4e48\u5173\u7cfb\u5462\uff1f\u5b83\u662f\u4e0d\u662f\u5c31\u662f\u5e73\u5747\u677e\u5f1b\u65f6\u95f4<\u03c4>\u5462\uff1f \u4ee5\u5e94\u529b\u677e\u5f1b\u4e3a\u4f8b\uff0c\u5047\u8bbe\u6837\u54c1\u53ef\u8868\u793a\u6210\u65e0\u6570\u4e2aMaxwell\u6a21\u578b\u7684\u548c\uff1a \u5176\u4e2dg(\u03c4)\u662f\u677e\u5f1b\u65f6\u95f4\u5206\u5e03\u51fd\u6570\u3002\u5b83\u4e0e\u66f4\u5e38\u7528\u7684\u677e\u5f1b\u65f6\u95f4\u8c31\u7684\u5173\u7cfb\u662fH(\u03c4)=\u03c4g(\u03c4)\u3002\u7531\u4e8eG(t)\u7b26\u5408KWW\u65b9\u7a0b\uff0c\u5219\u6709 \u4ee4u=1\/\u03c4\uff0c\u4e0a\u5f0f\u5c31\u53d8\u6210\u4e00\u4e2aLaplace\u53d8\u6362\uff1a \u4e3a\u4e86\u5f97\u5230g(\u03c4)\uff0c\u987b\u8ba1\u7b97\u4ee5\u4e0b\u53cdLaplace\u53d8\u6362\uff1a g(\u03c4)\u7684n\u9636\u77e9<\u03c4n>\uff1a \u6240\u4ee5 \u5373\u5bf9\u4e8e\u4e00\u4e2a\u6ee1\u8db3KWW\u578b\u54cd\u5e94\u51fd\u6570G(t)\u7684\u4f53\u7cfb\uff0c\u5176\u5e73\u5747\u677e\u5f1b\u65f6\u95f4<\u03c4>\u4e0eKWW\u65b9\u7a0b\u7684\u7279\u5f81\u65f6\u95f4\u03c40\u6210\u6b63\u6bd4\uff0c\u56e0\u6b64\u5e73\u79fb\u56e0\u5b50aT\u786e\u5b9e\u662f\u5e73\u5747\u677e\u5f1b\u65f6\u95f4\u7684\u6bd4\u503c \u3002 \u66f4\u9ebb\u70e6\u7684\u95ee\u9898\u662f\uff0c\u505a\u52a8\u6001\u6d4b\u8bd5\u7684\u65f6\u5019\uff0cG' = G''\u5904\u6240\u5bf9\u5e94\u7684\u9891\u7387\u5012\u6570\u662f\u4ec0\u4e48\u65f6\u95f4\uff1f\u5f88\u591a\u5730\u65b9\u8bf4\u8fd9\u662f\u6700\u5927\u677e\u5f1b\u65f6\u95f4\uff08maximum relaxation time\uff09\u03c4m\uff0c\u5373\u5f53\u89c2\u5bdf\u65f6\u95f4\u65f6\u95f4\u8d85\u8fc7\u03c4m\uff0c\u5c31\u53ef\u4ee5\u770b\u5230\u6837\u54c1\u7684\u6d41\u52a8\u3002\u53ef\u662f\uff0c\u4e00\u4e2a\u54cd\u5e94\u51fd\u6570\u7b26\u5408KWW\u65b9\u7a0b\u7684\u6837\u54c1\uff0c\u662f\u5426\u5177\u6709\u786e\u5b9a\u7684\u6700\u5927\u677e\u5f1b\u65f6\u95f4\uff1f\u4e5f\u5c31\u662f\u8bf4\uff0c\u5176\u677e\u5f1b\u65f6\u95f4\u5206\u5e03\u51fd\u6570g(\u03c4)\u662f\u5426\u6709\u786e\u5b9a\u7684\u5b9a\u4e49\u57df\uff0c\u4f7f\u5f97\u5f53\u03c4>\u03c4m\u65f6g(\u03c4) = 0\uff1f\u8fd9\u4e2a\u90fd\u4e0d\u597d\u8bf4\u3002\u201c\u6700\u5927\u677e\u5f1b\u65f6\u95f4\u201d\u7684\u6982\u5ff5\u8ddf\u677e\u5f1b\u65f6\u95f4\u8c31\u7684\u5173\u7cfb\uff0c\u591a\u6570\u89c1\u4e8e\u4eba\u4e3a\u7ed9\u5b9a\u7684\u677e\u5f1b\u65f6\u95f4\u8c31\uff0c\u4f8b\u5982Wedge-Box distribution\u3001BSW distribution\u7b49\u7b49\u3002\u7ed9\u5b9ag(\u03c4)\uff0c\u5012\u662f\u53ef\u4ee5\u5206\u522b\u8ba1\u7b97G'\u548cG'' \u4ee4G' = G''\uff0c\u628a\u4e0a\u9762\u4e24\u5f0f\u8054\u8d77\u6765\u89e3\u51fa\u03c9\u6765\uff0c\u5c31\u80fd\u6c42\u5f97\u6240\u8c13\u7684\u201c\u6700\u5927\u677e\u5f1b\u65f6\u95f4\u201d\u662f\u5565\uff0c\u4f46\u8fd9\u4e2a\u592a\u96be\u4e86\u2026\u2026\u53c8\u636e\u8bf4\uff0cG' = G''\u65f6\u7684\u03c9\u4e5f\u5c31\u662fG''\u6700\u5927\u503c\u65f6\u7684\u03c9\u3002\u5219\u4e0a\u9762\u7b2c\u4e8c\u4e2a\u5f0f\u5b50\u6c42\u5bfc\uff0c\u5c31\u5269\u4e0b\u88ab\u79ef\u51fd\u6570\u4e86\u3002\u90a3\u5768\u4e1c\u897f\u4e2d\u53f3\u8fb9\u7684\u5206\u5f0f\u662f\u975e\u96f6\u7684\uff0c\u6240\u4ee5\u552f\u6709\u8ba9g(\u03c4)=0\u3002\u8fd9\u5c31\u53c8\u56de\u5230\u4e4b\u524d\u95ee\u7684\u90a3\u4e2a\u95ee\u9898\u4e86\uff1ag(\u03c4)\u662f\u5426\u6709\u786e\u5b9a\u7684\u5b9a\u4e49\u57df\uff0c\u4f7f\u5f97\u5f53\u03c4>\u03c4m\u65f6g(\u03c4) = 0\uff1f \u6709\u4eba\u7ed9\u51fa\uff08\u89c1\u53c2\u8003\u6587\u732e\uff09\u4e86g(\u03c4)\u7684\u8fd1\u4f3c\u8868\u8fbe\u5f0f\uff0c\u662f\u4e2a\u542bGamma\u51fd\u6570\u7684\u7ea7\u6570\u3002\u8981\u6211\u89e3g(\u03c4) = 0\u51e0\u4e4e\u662f\u4e0d\u53ef\u80fd\u7684\u2026\u2026 \u8fd8\u6709\u4e00\u4e2a\u53ef\u80fd\u7684\u89e3\u51b3\u65b9\u6cd5\uff0c\u5c31\u662f\u91c7\u7528\u677e\u5f1b\u65f6\u95f4\u8c31\u7684\u4e00\u4e9b\u8fd1\u4f3c\u7b97\u6cd5\u3002\u4f8b\u5982\uff1a \u8fd9\u5c31\u53ef\u76f4\u63a5\u4eceG(t)\u53bb\u8ba1\u7b97\u677e\u5f1b\u65f6\u95f4\u8c31H(\u03c4)=\u03c4g(\u03c4)\uff0c\u7136\u540e\u4ee3\u5165\u4e0a\u9762\u7684\u5f0f\u5b50\u7b97\u51faG'\u548cG''\uff0c\u89e3\u51fa\u201c\u6700\u5927\u677e\u5f1b\u65f6\u95f4\u201d\u6765\u3002\u4f46\u603b\u4e4b\u90a3\u4e24\u4e2a\u79ef\u5206\u8fd8\u662f\u5f88\u96be\u641e \u6211\u731c\u6d4b\u8ba1\u6700\u5927\u677e\u5f1b\u65f6\u95f4\u03c4m\u4e5f\u662f\u8ddf\u03c40\u548c\u03b2\u6709\u5173\uff0c\u4f46\u662f\u5426\u6b63\u6bd4\u4e8e\u03c40\u5c31\u4e0d\u77e5\u9053\u4e86\u3002\u771f\u7684\u4e0d\u884c\u7684\u8bdd\uff0c\u6211\u53ea\u80fd\u5728MATLAB\u6570\u503c\u7b97\u4e00\u4e0b\uff0c\u8003\u5bdf\u4e00\u4e0b\u4e0d\u540c\u03b2\u503c\u4e0b\u7684\u6700\u5927\u677e\u5f1b\u65f6\u95f4\u03c4m\u3001\u5e73\u5747\u677e\u5f1b\u65f6\u95f4<\u03c4>\u548cKWW\u7684\u7279\u5f81\u65f6\u95f4\u03c40\u4e4b\u95f4\u7684\u8868\u89c2\u5173\u7cfb\uff0c\u770b\u80fd\u5426\u8fd1\u4f3c\u8ba4\u4e3a\u03c4m\u8ddf\u03c40\u6210\u6b63\u6bd4\u3002\u5982\u679c\u80fd\uff0c\u5219\u65f6\u6e29\u53e0\u52a0\u5f97\u5230\u7684\u5e73\u79fb\u56e0\u5b50\uff0c\u540c\u65f6\u4e5f\u662f\u6700\u5927\u677e\u5f1b\u65f6\u95f4\u4e4b\u6bd4\uff1a \u53c2\u8003\u6587\u732e\uff1aJ. Chem. Phys. 73:3348\uff0cText. Res. J. 21:404","rel":"","context":"In &quot;\u5de5\u4f5c\u7b14\u8bb0&quot;","block_context":{"text":"\u5de5\u4f5c\u7b14\u8bb0","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/personal\/%e5%b7%a5%e4%bd%9c%e7%ac%94%e8%ae%b0"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":8956,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/8956","url_meta":{"origin":3286,"position":2},"title":"\u5728\u4e00\u5207\u672a\u88ab\u5b9a\u4e49\u4e4b\u524d","author":"Andrew","date":"2023\u5e7410\u670830\u65e5","format":false,"excerpt":"Physica A Volume 118, Issues 1-3\u8fd9\u4e00\u671f\u53d1\u8868\u7684\u662f1982\u5e746\u67087\u65e5\u548c11\u65e5\u5728\u79d1\u7f57\u62c9\u591a\u5927\u5b66\u4e3e\u884c\u7684\u5c0f\u578b\u4f1a\u8baeNonlinear Fluid Behavior Conference\u3002\u4ece\u4eba\u6570\u4e0a\u662f\u5c0f\u4f1a\u8bae\uff0c\u4f46\u4ece\u6765\u7684\u4eba\u7684\u91cd\u8981\u7a0b\u5ea6\u4e0a\u662f\u4e00\u4e2a\u6db2\u4f53\u7269\u7406\u7814\u7a76\u5386\u53f2\u4e0a\u7684\u4e00\u6b21\u91cd\u8981\u4f1a\u8bae\uff1aB. Alder\u3001R. Bird\u3001F. Brochard\u3001E. Cohen\u3001C. Curtiss\u3001P. de Gennes\u3001M. Doi\u3001J. Dufty\u3001B. Eu\u3001D. Evans\u3001M. Fixman\u3001S. Hess\u3001K. Kawasaki\u3001T. Keyes\u3001T. Kirkpatrick\u3001E. Sloan\u3001C. Sorensen\u3001S. Yip\u3001R. Zwanzig\u3002\u9605\u8bfb\u8fd9\u4e00\u6574\u671f\u7684\u8ba8\u8bba\uff0c\u5c31\u597d\u50cf\u4eb2\u8eab\u53c2\u4e0e\u4e86\u8fd9\u4e9b\u4eba\u7269\u7684\u8ba8\u8bba\u73b0\u573a\u4e00\u6837\u6109\u60a6\u3002 1982\u5e74\uff0c\u590d\u6742\u6d41\u4f53\u6db2\u7684\u4e00\u5207\u4e25\u683c\u8ba8\u8bba\u90fd\u624d\u521a\u521a\u5f00\u59cb\uff1a\u672c\u6784\u5173\u7cfb\u7684\u7269\u8d28\u5ba2\u89c2\u6027\u4e89\u8bba\u3001\u975e\u725b\u987f\u6027\u7684\u5fae\u89c2\u6839\u6e90\u3001\u73bb\u7483\u5316\u3001\u76f8\u53d8\uff08\u7279\u522b\u662f\u805a\u5408\u7269\u6eb6\u6db2\u7684\uff09\u3001\u7c98\u5f39\u6027\u6e4d\u6d41\u3001\u2026\u2026\u8bda\u5982\u8fd9\u4e00\u671f\u7684Preface\u672b\u5c3e\u5f15\u7528\u7684\u300a\u5931\u4e50\u56ed\u300b\u8bd7\u53e5\uff1a \"... a dark Illimitable ocean, without bound, Without dimension, where length, breadth, and highth And time, and place are lost;\u2026","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":1847,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/1847","url_meta":{"origin":3286,"position":3},"title":"\u5c3c\u9f99\u5438\u6c34\u554a\u5438\u6c34\uff0c\u55ef\u55ef","author":"Andrew","date":"2008\u5e748\u670812\u65e5","format":false,"excerpt":"\u8102\u80aa\u65cf\u805a\u9170\u80fa\u7531\u4e8e\u542b\u6709\u80fa\u57fa\u548c\u7fb0\u57fa\uff0c\u6613\u4e0e\u6c34\u5206\u5b50\u5f62\u6210\u6c22\u952e\uff0c\u56e0\u6b64\u6240\u5f97\u5230\u7684\u5404\u79cd\u6750\u6599\u5728\u4f7f\u7528\u65f6\u5bb9\u6613\u5438\u6c34\uff0c\u4ea7\u751f\u589e\u5851\u6548\u5e94\uff0c\u5bfc\u81f4\u6750\u6599\u4f53\u79ef\u81a8\u80c0\u3001\u6a21\u91cf\u4e0b\u964d\uff0c\u5728\u5e94\u529b\u4f5c\u7528\u4e0b\u53d1\u751f\u660e\u663e\u8815\u53d8\u7b49\u95ee\u9898\u3002\u805a\u5df1\u5185\u9170\u80fa\u548c\u805a\u5df1\u4e8c\u9178\u5df1\u4e8c\u80fa\uff08\u5c3c\u9f996\u548c\u5c3c\u9f9966\uff09\u662f\u6700\u5e38\u7528\u7684\u805a\u9170\u80fa\u6750\u6599\u3002\u5b83\u4eec\u6700\u9ad8\u80fd\u4ece\u6f6e\u6e7f\u7a7a\u6c14\u4e2d\u5438\u6536\u8d28\u91cf\u5206\u657010%\u7684\u6c34\u5206\uff0c\u5728\u4e00\u822c\u6e7f\u5ea6\u73af\u5883\u4e0b\u4e5f\u80fd\u5438\u6536\u8d28\u91cf\u5206\u65702%\u52304%\u7684\u6c34\u5206\uff0c\u5bfc\u81f4\u5404\u79cd\u529b\u5b66\u6027\u80fd\u53d8\u5dee\u3002\u5c3c\u9f996\u548c\u5c3c\u9f9966\u4e24\u79cd\u6750\u6599\u5728\u672c\u6587\u8ba8\u8bba\u8303\u56f4\u5185\u533a\u522b\u5f88\u5c0f\uff0c\u7edf\u79f0\u5c3c\u9f996\/66\u3002\u672c\u6587\u603b\u7ed3\u4e86\u5173\u4e8e\u5c3c\u9f996\/66\u5438\u6c34\u673a\u7406\u548c\u6539\u5584\u5176\u5438\u6e7f\u6027\u7684\u7814\u7a76\u3002\u4e3b\u8981\u5185\u5bb9\u5982\u4e0b\uff1a 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chain\u4e4b\u7c7b\uff09\u3002\u6240\u4ee5\u65e0\u8bba\u4f60\u7684\u8ba8\u8bba\u60f3\u8d70\u8fde\u7eed\u4ecb\u8d28\u7684\u65b9\u5411\u8fd8\u662f\u7ed3\u6784\u7684\u65b9\u5411\u90fd\u4e0d\u5bf9\u4ed8\u3002\u5728\u4ee5\u5f80\uff0c\u8fd9\u4e9b\u4e0d\u7406\u60f3\u6027\u7684\u8868\u5f81\u624b\u6bb5\u5f88\u5c11\uff0c\u5ba1\u7a3f\u4eba\u95ee\u8fd9\u4e24\u4e2a\u95ee\u9898\u53ef\u4ee5\u5c5e\u4e8e\u65e0\u7406\u53d6\u95f9\uff1b\u4f46\u73b0\u5728\u4e0d\u4e00\u6837\u4e86\uff0c\u5ba1\u7a3f\u4eba\u95ee\u8fd9\u4e24\u7c7b\u95ee\u9898\u5f80\u5f80\u76f4\u63a5\u80fd\u627e\u5230\u5df2\u62a5\u9053\u7684\u7ed3\u679c\u6765\u4f50\u8bc1\uff0c\u4f60\u65e0\u6cd5\u4e0d\u8003\u8651\u3002\u8fd9\u4e24\u7c7b\u95ee\u9898\u90fd\u662f\u666e\u9002\u7684\uff0c\u53ea\u8981\u4f60\u6ca1\u53bb\u201c\u770b\u201d\uff0c\u4f60\u6ca1\u6709\u522b\u7684\u65b9\u6cd5\u62cd\u80f8\u812f\u4fdd\u8bc1\u3002\u6240\u4ee5\u73b0\u5728\u5982\u679c\u4f60\u8fd8\u60f3\u5728\u4e00\u53f0\u65cb\u8f6c\u6d41\u53d8\u4eea\u4e0a\u505a\u5b9e\u9a8c\uff0c\u4e00\u5b9a\u8981\u52a0\u4e0a\u4e00\u4e2a\u6d41\u573a\u8868\u5f81\u624b\u6bb5\u4ee5\u53ca\u4e00\u4e2a\u539f\u4f4d\u7ed3\u6784\u8868\u5f81\u624b\u6bb5\uff0c\u4e00\u505a\u6b21\u5c31\u540c\u65f6\u56de\u7b54\u4ee5\u4e0a\u4e24\u65b9\u9762\u95ee\u9898\uff0c\u5426\u5219\u90fd\u4e0d\u5bf9\u3002\u4ee5\u4e0b\u8fd9\u7bc7\u6587\u7ae0\u5c31\u91c7\u7528NMR\u6765\u6d4b\u91cf\u805a\u4e59\u70ef\u7194\u4f53\u7684\u7f20\u7ed3\u5206\u5b50\u91cfMe\uff0c\u636e\u79f0\u6d4b\u51fa\u6765\u7684\u662f\u5b9e\u9645\u7f20\u7ed3\u70b9\u95f4\u7684\uff0c\u800c\u4e0d\u50cf\u6d41\u53d8\u5b66\u6d4b\u91cf\u90a3\u6837\u662f\u5047\u8bbe\u6837\u54c1\u6ca1\u6709\u652f\u5316\u3001\u5355\u5206\u6563\u3001\u6a61\u80f6\u5f39\u6027\u3001\u4ee5\u53ca\u4f53\u79ef\u5e73\u5747\u7ed3\u679c\uff0c\u53d1\u73b0\u4e24\u79cd\u7ed3\u679c\u5dee\u5f88\u8fdc\u3002\u8fd9\u79cd\u7814\u7a76\u4e00\u53d1\u8868\uff0c\u5c06\u6765\u4f60\u518d\u62ff\u6d41\u53d8\u4eea\u6d4b\u7684Me\uff0c\u5ba1\u7a3f\u4eba\u90fd\u53ef\u4ee5\u4e0d\u8ba4\u3002\u95ee\u9898\u662f\uff0c\u5f53\u6211\u5728\u6d41\u53d8\u4eea\u4e0a\u6dfb\u52a0\u4e86\u6d41\u573a\u8868\u5f81\u548c\u7ed3\u6784\u8868\u5f81\u624b\u6bb5\u4e4b\u540e\uff0c\u6d41\u53d8\u4eea\u5c31\u6ca6\u4e3a\u4e00\u4e2a\u4ec5\u4ec5\u7528\u4e8e\u65bd\u52a0\u6d41\u573a\u7684\u624b\u6bb5\u4e86\u3002\u65e2\u7136\u4e00\u5b9a\u6d41\u573a\u4e0b\u7684chain dynamics\u6211\u90fd\u53ef\u4ee5\u76f4\u63a5\u83b7\u5f97\u4e86\uff0c\u6211\u8fd8\u5173\u5fc3\u5e94\u529b\u5e94\u53d8\u5173\u7cfb\u5e72\u4ec0\u4e48\uff1f\u6211\u5b8c\u5168\u53ef\u4ee5\u4e70\u4e00\u4e2aLinkam\u7684\u526a\u5207\u6c60\u88c5\u5230\u5176\u4ed6\u7ed3\u6784\u8868\u5f81\u4eea\u5668\u4e0a\u8fbe\u5230\u76f8\u540c\u7684\u76ee\u7684\u3002\u5982\u679c\u6211\u662f\u5173\u7cfb\u6d41\u4f53\u529b\u5b66\uff0c\u53c8\u4e0d\u60f3\u53ea\u5c40\u9650\u4e8e\u62d6\u62fd\u6d41\u3002\u73b0\u5728\u8fd9\u65b9\u9762\u7684\u6d41\u53d8\u5b66\u5df2\u7ecf\u53d1\u5c55\u5230\u5fae\u6d41\u9053\u4e86\uff0c\u56e0\u4e3a\u5b8f\u89c2\u7684\u5404\u79cd\u6d41\u573a\u5404\u79cd\u6a21\u578b\u5927\u5bb6\u90fd\u51e0\u4e4e\u7b97\u904d\u4e86\u3002\u6211\u89c9\u5f97\u6d41\u53d8\u4eea\u5728\u7814\u7a76\u4e2d\u5e94\u8be5\u672b\u843d\u4e86\u3002\u5382\u5bb6\u8981\u6d4b\u70b9\u7c98\u5ea6\u554a\u4ec0\u4e48\u7684\u4e5f\u4e0d\u9700\u8981\u82b1\u8fd9\u4e48\u591a\u94b1\u4e70\u4e00\u53f0\u6d41\u53d8\u4eea\u3002\u5c06\u6765\u5404\u54c1\u724c\u7684\u6d41\u53d8\u4eea\u4f1a\u8d8a\u6765\u8d8a\u96be\u5356\u51fa\u53bb\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":"https:\/\/i0.wp.com\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2013\/01\/Untitled-150x150.png?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":9191,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/9191","url_meta":{"origin":3286,"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\/3286","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=3286"}],"version-history":[{"count":7,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/posts\/3286\/revisions"}],"predecessor-version":[{"id":3293,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/posts\/3286\/revisions\/3293"}],"wp:attachment":[{"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/media?parent=3286"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/categories?post=3286"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/tags?post=3286"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}