{"id":4999,"date":"2012-11-11T13:57:46","date_gmt":"2012-11-11T05:57:46","guid":{"rendered":"http:\/\/www.andrewsun.net\/panta_rhei\/?p=4999"},"modified":"2020-02-04T23:45:59","modified_gmt":"2020-02-04T15:45:59","slug":"%e5%af%b9%e6%97%b6x%e5%8f%a0%e5%8a%a0%e5%8e%9f%e7%90%86%e5%92%8c%e9%9d%9e%e5%b9%b3%e8%a1%a1%e8%bf%87%e7%a8%8b%e7%9a%84%e4%b8%80%e4%ba%9b%e8%ae%a4%e8%af%86","status":"publish","type":"post","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/4999","title":{"rendered":"\u5bf9\u65f6X\u53e0\u52a0\u539f\u7406\u548c\u975e\u5e73\u8861\u8fc7\u7a0b\u7684\u4e00\u4e9b\u8ba4\u8bc6"},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"4999\">\n<h3>\u677e\u5f1b\u65f6\u95f4\u5206\u5e03\u7684\u7a33\u5b9a\u6027\u662f\u600e\u4e48\u6765\u7684\uff1f<\/h3>\n<p>\u9ad8\u5206\u5b50\u677e\u5f1b\u8fc7\u7a0b\u5e38\u89c1\u7684\u65f6\u6e29\u53e0\u52a0\u7684\u73b0\u8c61\u662f\u6837\u54c1\u5728\u4e0d\u540c\u5e73\u8861\u6e29\u5ea6\u4e0b\u7684\u529b\u5b66\u54cd\u5e94\u51fd\u6570<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=M%5Cleft%28t%5Cright%29&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"M&#92;left(t&#92;right)\" class=\"latex\" \/>\u53ef\u5728\u54cd\u5e94\u65f6\u95f4<i>t<\/i>\u6216\u54cd\u5e94\u9891\u7387<i>\u03c9<\/i>\u8f74\u4e0a\u5e73\u79fb\u53e0\u52a0\u6210\u4e3b\u66f2\u7ebf\u3002\u5b9e\u9a8c\u62a5\u9053\u7ecf\u5e38\u4f7f\u7528\u7684\u662f\u9891\u57df\u54cd\u5e94\uff0c\u6240\u4ee5\u9891\u7387\u662f\u201c\u65f6\u6e29\u53e0\u52a0\u201d\u4e2d\u7684\u201c\u65f6\u201d\u3002\u8fd9\u4e00\u73b0\u8c61\u4e5f\u76f8\u5f53\u4e8e\u8bf4\u6e29\u5ea6\u4e0d\u6539\u53d8\u54cd\u5e94\u51fd\u6570\u7684\u5f62\u72b6\u3002<\/p>\n<p>\u5404\u79cd\u529b\u5b66\u677e\u5f1b\u51fd\u6570\u603b\u662f\u53ea\u9884\u6d4b\u677e\u5f1b\u66f2\u7ebf\u7684\u5f62\u72b6\u7684\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u677e\u5f1b\u6a21\u91cf\u662f\u603b\u662f\u76f4\u63a5\u548c\u65e0\u91cf\u7eb2\u5316\u54cd\u5e94\u65f6\u95f4<i>t<\/i>\/<i>\u03c4<\/i>\u6216\u54cd\u5e94\u9891\u7387<i>\u03c4\u03c9<\/i>\u6709\u5173\uff0c\u65f6\u95f4\u5c3a\u5ea6\u4e0a\u7684\u533a\u522b\u5c31\u6d88\u6389\u4e86\u3002\u4ee5\u4e0b\u4e3e\u51e0\u4e2a\u4f8b\u5b50\uff1a<\/p>\n<p>Maxwell\u6a21\u578b\uff1a<\/p>\n<p style=\"text-indent:0;\"><img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=G%27%3D%5Cfrac%7BG_N%5E0%5Ctau%5E2%5Comega%5E2%7D%7B1%2B%5Ctau%5E2%5Comega%5E2%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"G&#039;=&#92;frac{G_N^0&#92;tau^2&#92;omega^2}{1+&#92;tau^2&#92;omega^2}\" class=\"latex\" \/><br \/>\n<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=G%27%27%3D%5Cfrac%7BG_N%5E0%5Ctau%5Comega%7D%7B1%2B%5Ctau%5E2%5Comega%5E2%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"G&#039;&#039;=&#92;frac{G_N^0&#92;tau&#92;omega}{1+&#92;tau^2&#92;omega^2}\" class=\"latex\" \/><\/p>\n<p>Rouse\uff1a<\/p>\n<p style=\"text-indent:0;\"><img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=G%5Cleft%28t%5Cright%29%3DG_N%5E0%5Csum_%7Bp%3D1%7D%5EN+e%5E%7B-p%5E2t%2F%5Ctau%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"G&#92;left(t&#92;right)=G_N^0&#92;sum_{p=1}^N e^{-p^2t\/&#92;tau}\" class=\"latex\" \/><\/p>\n<p>Reptation\uff1a<\/p>\n<p style=\"text-indent:0;\"><img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=G%5Cleft%28t%5Cright%29%3DG_N%5E0%5Cfrac%7B8%7D%7B%5Cpi%5E2%7D%5Csum_%7Bp%3B%5Ctextup%7Bodd%7D%7D%5EN%5Cfrac%7B1%7D%7Bp%5E2%7De%5E%7B-p%5E2t%2F%5Ctau%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"G&#92;left(t&#92;right)=G_N^0&#92;frac{8}{&#92;pi^2}&#92;sum_{p;&#92;textup{odd}}^N&#92;frac{1}{p^2}e^{-p^2t\/&#92;tau}\" class=\"latex\" \/><\/p>\n<p>MCT\uff08PRL 75:2770\uff09<\/p>\n<p style=\"text-indent:0;\"><img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=G%27%5Cleft%28%5Comega%5Cright%29%3DG_P%2BG_%5Csigma%5Cleft%5B%5CGamma%5Cleft%281-a%27%5Cright%29%5Ccos%5Cleft%28%5Cfrac%7B%5Cpi+a%27%7D%7B2%7D%5Cright%29%5Cleft%28%5Comega+t_%5Csigma%5Cright%29%5E%7Ba%27%7D-B%5CGamma%5Cleft%281%2Bb%27%5Cright%29%5Ccos%5Cleft%28%5Cfrac%7B%5Cpi+b%27%7D%7B2%7D%5Cright%29%5Cleft%28%5Comega+t_%5Csigma%5Cright%29%5E%7B-b%27%7D%5Cright%5D%2BG_D%27%5Cleft%28%5Comega%5Cright%29&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"G&#039;&#92;left(&#92;omega&#92;right)=G_P+G_&#92;sigma&#92;left[&#92;Gamma&#92;left(1-a&#039;&#92;right)&#92;cos&#92;left(&#92;frac{&#92;pi a&#039;}{2}&#92;right)&#92;left(&#92;omega t_&#92;sigma&#92;right)^{a&#039;}-B&#92;Gamma&#92;left(1+b&#039;&#92;right)&#92;cos&#92;left(&#92;frac{&#92;pi b&#039;}{2}&#92;right)&#92;left(&#92;omega t_&#92;sigma&#92;right)^{-b&#039;}&#92;right]+G_D&#039;&#92;left(&#92;omega&#92;right)\" class=\"latex\" \/><br \/>\n<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=G%27%27%5Cleft%28%5Comega%5Cright%29%3DG_%5Csigma%5Cleft%5B%5CGamma%5Cleft%281-a%27%5Cright%29%5Csin%5Cleft%28%5Cfrac%7B%5Cpi+a%27%7D%7B2%7D%5Cright%29%5Cleft%28%5Comega+t_%5Csigma%5Cright%29%5E%7Ba%27%7D%2BB%5CGamma%5Cleft%281%2Bb%27%5Cright%29%5Csin%5Cleft%28%5Cfrac%7B%5Cpi+b%27%7D%7B2%7D%5Cright%29%5Cleft%28%5Comega+t_%5Csigma%5Cright%29%5E%7B-b%27%7D%5Cright%5D%2BG_D%27%27%5Cleft%28%5Comega%5Cright%29%2B%5Ceta_%5Cinfty%5Comega&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"G&#039;&#039;&#92;left(&#92;omega&#92;right)=G_&#92;sigma&#92;left[&#92;Gamma&#92;left(1-a&#039;&#92;right)&#92;sin&#92;left(&#92;frac{&#92;pi a&#039;}{2}&#92;right)&#92;left(&#92;omega t_&#92;sigma&#92;right)^{a&#039;}+B&#92;Gamma&#92;left(1+b&#039;&#92;right)&#92;sin&#92;left(&#92;frac{&#92;pi b&#039;}{2}&#92;right)&#92;left(&#92;omega t_&#92;sigma&#92;right)^{-b&#039;}&#92;right]+G_D&#039;&#039;&#92;left(&#92;omega&#92;right)+&#92;eta_&#92;infty&#92;omega\" class=\"latex\" \/><\/p>\n<p>\u4e5f\u5c31\u662f\u8bf4\uff0c\u4e0d\u7ba1\u4f60\u7684\u677e\u5f1b\u662f\u57281 s\u8fd8\u662f1e-10 s\u7684\u5c3a\u5ea6\u8303\u56f4\uff0c\u6211\u53ea\u7ba1\u4f60\u5f62\u72b6\u957f\u4ec0\u4e48\u6837\u3002\u5982\u679c\u54cd\u5e94\u51fd\u6570\u6709\u65f6\u6e29\u53e0\u52a0\u6027\uff0c\u610f\u601d\u5c31\u662f\u8bf4\u53d8\u5316\u6e29\u5ea6\u4e0d\u6539\u53d8\u9002\u7528\u7684\u529b\u5b66\u677e\u5f1b\u6a21\u578b\u3002\u5982\u679c\u662f\u7528\u5e7f\u4e49Maxwell\u6a21\u578b\u6765\u63cf\u8ff0\uff0c\u610f\u601d\u5c31\u662f\u8bf4\u53d8\u5316\u6e29\u5ea6\u4e0d\u6539\u53d8\u677e\u5f1b\u65f6\u95f4\u5206\u5e03\u7684\u5f62\u72b6\u3002\u518d\u6362\u53e5\u8bdd\u8bf4\u5c31\u662f\uff0c\u53d8\u5316\u6e29\u5ea6\u4ec5\u4ec5\u662f\u628a\u6574\u4e2a\u677e\u5f1b\u65f6\u95f4\u5206\u5e03\u6574\u4f53\u5728\u54cd\u5e94\u65f6\u95f4\u5c3a\u5ea6\u4e0a\u8fdb\u884c\u5e73\u79fb\uff0c\u54cd\u5e94\u65f6\u95f4\u7684\u65e0\u91cf\u7eb2\u5316\u56e0\u5b50\u03c4\u5176\u5b9e\u5c31\u662f\u8868\u5f81\u8fd9\u4e2a\u5e73\u79fb\u91cf\u3002\u5b83\u5e38\u5e38\u88ab\u79f0\u4e3a\u201c\u677e\u5f1b\u65f6\u95f4\u201d\u3002\u771f\u6b63\u53cd\u6620\u7269\u7406\u7ed3\u6784\u5bf9\u65f6\u95f4\u5c3a\u5ea6\u7684\u9650\u5b9a\u6027\u7684\u662f\u8fd9\u4e2a<i>\u03c4<\/i>\u3002\u6e29\u5ea6\u7684\u5f71\u54cd\u96c6\u4e2d\u4f53\u73b0\u5728<i>\u03c4<\/i>\u4e0a\u3002\u5982\u679c\u662f\u552f\u8c61\u6a21\u578b\uff0c\u90a3\u4e48\u5bf9\u54cd\u5e94\u51fd\u6570\u7684\u4e00\u822c\u5f62\u72b6\uff08\u4e3b\u66f2\u7ebf\uff09\u548c<i>\u03c4<\/i>\u5bf9\u6e29\u5ea6<i>T<\/i>\u7684\u4f9d\u8d56\u5173\u7cfb\u8981\u7528\u5206\u522b\u7684\u51fd\u6570\u6765\u63cf\u8ff0\u3002Maxwell\u6a21\u578b\u53ef\u4e0d\u7ba1\u4f60\u7684<i>\u03c4<\/i>\u8ddf\u6e29\u5ea6\u600e\u4e48\u53d8\uff0c\u800c\u4e25\u683c\u6765\u8bf4WLF\u65b9\u7a0b\u63cf\u8ff0\u7684\u662f\u7c98\u5ea6\u6bd4\uff0c\u4e0d\u662f\u677e\u5f1b\u65f6\u95f4\u6bd4\u3002\u5982\u679c\u91c7\u7528\u7ed3\u6784\u6a21\u578b\uff0c\u90a3\u4e48\u8fd9\u4e24\u4e2a\u5173\u7cfb\u90fd\u80fd\u4e00\u8d77\u9884\u6d4b\u3002\u4f8b\u5982Rouse\u6a21\u578b\u548creptation\u6a21\u578b\u90fd\u540c\u65f6\u7ed9\u51fa\u4e86\u677e\u5f1b\u65f6\u95f4\u5206\u5e03\u7684\u8868\u8fbe\u5f0f\u4ee5\u53ca\u5404\u81ea\u76f8\u5e94\u7684\u7279\u5f81\u677e\u5f1b\u65f6\u95f4<i>\u03c4<\/i><sub>R<\/sub>\u7684\u8868\u8fbe\u5f0f\u3002\u4ece\u8868\u8fbe\u5f0f\u751a\u81f3\u53ef\u4ee5\u9884\u6d4b\u5bf9\u5355\u5206\u6563\u4f53\u7cfb\u8fd8\u6709\u65f6-\u5206\u5b50\u91cf\u53e0\u52a0\u6027\u3002<\/p>\n<p>\u9664\u4e86\u6e29\u5ea6\u5916\uff0c\u5728\u590d\u6742\u6d41\u4f53\u6d41\u53d8\u5b66\u7814\u7a76\u4e2d\u8fd8\u4f1a\u7ecf\u5e38\u9047\u5230\u5404\u79cd\u65f6X\u53e0\u52a0\u73b0\u8c61\u3002X\u5bf9\u5e94\u7740\u5404\u79cd\u4e0d\u540c\u56e0\u7d20\uff0c\u5305\u62ec\u538b\u529b\u3001\u7ec4\u4efd\u7684\u6d53\u5ea6\u3001\u5f71\u54cd\u5fae\u89c2\u76f8\u4e92\u4f5c\u7528\u7684\u5404\u79cd\u56e0\u7d20\uff08pH\u3001\u79bb\u5b50\u5f3a\u5ea6\uff09\u7b49\u3002\u8fd9\u4e9b\u53e0\u52a0\u6027\u90fd\u53ef\u4ee5\u5ef6\u7528\u4e0a\u8ff0\u7684\u8bf4\u6cd5\uff0c\u5373\u6539\u53d8\u6761\u4ef6X\u4e0d\u4e0d\u4f1a\u6539\u53d8\u6837\u54c1\u7684\u677e\u5f1b\u65f6\u95f4\u5206\u5e03\u5f62\u72b6\uff0c\u800c\u662f\u628a\u677e\u5f1b\u65f6\u95f4\u5206\u5e03\u539f\u6837\u5728\u54cd\u5e94\u65f6\u95f4\u8f74\u4e0a\u8fdb\u884c\u4e86\u5e73\u79fb\u3002\u5e73\u79fb\u91cf\uff08\u677e\u5f1b\u51fd\u6570\uff09<i>\u03c4<\/i>\u4e0eX\u7684\u5173\u7cfb\u5219\u8981\u501f\u52a9\u5177\u4f53\u7684\u7ed3\u6784\u6a21\u578b\u6765\u89e3\u91ca\u3002<\/p>\n<p>\u7efc\u5408\u8fd9\u4e9b\u73b0\u8c61\uff0c\u6211\u4eec\u4f3c\u4e4e\u80fd\u591f\u53d1\u73b0\uff0c\u590d\u6742\u6d41\u4f53\u5f80\u5f80\u80fd\u591f\u5728\u201c\u77ac\u606f\u4e07\u53d8\u7684\u5927\u5343\u4e16\u754c\u4e2d\u201d\u4fdd\u6301\u5176\u677e\u5f1b\u65f6\u95f4\u5206\u5e03\u5f62\u72b6\u7684\u7a33\u5b9a\u6027\u3002\u5f88\u591aX\u56e0\u7d20\u7684\u6539\u53d8\uff0c\u90fd\u4e0d\u4fee\u6539\u677e\u5f1b\u65f6\u95f4\u5206\u5e03\u7684\u5f62\u72b6\u3002\u6709\u4e9b\u5f71\u54cd\u56e0\u7d20\u662f\u975e\u5e38\u5fae\u89c2\u7684\uff0c\u4f8b\u5982\u6539\u53d8\u7c92\u5b50\u95f4\u76f8\u4e92\u4f5c\u7528\u52bf\u80fd<i>U<\/i>\/<i>k<\/i><sub>B<\/sub><i>T<\/i>\uff0c\u800c\u677e\u5f1b\u65f6\u95f4\u7684\u5206\u5e03\u5e94\u8be5\u662f\u4e00\u4e2a\u4ecb\u89c2\u7ed3\u6784\u7684\u53cd\u6620\uff0c\u4e3a\u4ec0\u4e48\u5374\u4ecd\u4e0d\u53d7\u5f71\u54cd\uff1f\u8fd9\u8bf4\u660e\u677e\u5f1b\u65f6\u95f4\u5206\u5e03\u7684\u5f62\u72b6\u6765\u81ea\u6bd4\u8fd9\u4e9b\u5fae\u89c2\u56e0\u7d20\u66f4\u57fa\u672c\u7684\u6027\u8d28\u3002\u6211\u8ddf\u4e00\u4e2a\u540c\u884c\u8ba8\u8bba\u8fc7\uff0c\u4ed6\u731c\u6d4b\u539f\u56e0\u4e5f\u8bb8\u662f\u4e0d\u7ba1\u662f\u4ec0\u4e48\u4f53\u7cfb\u5fae\u89c2\u7ed3\u6784\u7684\u8fd0\u52a8\u901f\u7387\u5206\u5e03\u5f80\u5f80\u90fd\u7b26\u5408Maxwell-Boltzmann\u7edf\u8ba1\uff0c\u57fa\u4e8e\u8fd9\u4e2a\u5047\u8bbe\u7684\u7406\u8bba\u6a21\u578b\u90fd\u4f1a\u7ed9\u51fa\u53ea\u4e0e<i>t<\/i>\/<i>\u03c4<\/i>\u6709\u5173\u7684\u7ed3\u6784\u677e\u5f1b\u51fd\u6570\u5f62\u5f0f\uff0c\u5373\u5177\u6709\u677e\u5f1b\u5206\u5e03\u5f62\u72b6\u4e0d\u53d8\u6027\u3002\u6211\u53e6\u5916\u53c8\u731c\u6d4b\uff0c\u8fd9\u79cd\u7a33\u5b9a\u6027\u66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time superposition\u3002\u8fd9\u662f\u73bb\u7483\u5316\u6e29\u5ea6\u4ee5\u4e0b\u7684\u8fc7\u51b7\u6db2\u4f53\u6216\u8005\u73bb\u7483\u6001\u805a\u5408\u7269\u7684\u7269\u7406\u8001\u5316\u8fc7\u7a0b\u5e38\u89c1\u7684\u73b0\u8c61\u3002\u6309\u7167\u4e0a\u8ff0\u7684\u4e00\u822c\u63cf\u8ff0\uff0c\u53ef\u4ee5\u8bf4\u8fd9\u4e9b\u73bb\u7483\u4f53\u7cfb\u5728\u8001\u5316\u8fc7\u7a0b\u4e2d\uff0c\u677e\u5f1b\u65f6\u95f4\u5206\u5e03\u7684\u5f62\u72b6\u4fdd\u6301\u4e0d\u53d8\uff0c\u4ec5\u4ec5\u662f\u65f6\u95f4\u5c3a\u5ea6\u6574\u4f53\u5730\u53d8\u5927\uff08\u677e\u5f1b\u53d8\u6162\uff09\u3002\u6240\u4ee5\u8fd9\u76f8\u5f53\u4e8e\u8bf4\uff0c\u590d\u6742\u6d41\u4f53\u7684\u677e\u5f1b\u65f6\u95f4\u5206\u5e03\u7a33\u5b9a\u6027\u751a\u81f3\u5728\u8fdc\u79bb\u5e73\u8861\u6001\u7684\u6761\u4ef6\u4e0b\u90fd\u662f\u4fdd\u6301\u7684\u3002<\/p>\n<p>\u5728\u7b26\u5408fluctuation-dissipation theory\uff08FDT\uff09\u7684\u6761\u4ef6\u4e0b\uff0c\u54cd\u5e94\u51fd\u6570\u548c\u76f8\u5173\u51fd\u6570\u4e4b\u95f4\u6709\u7b80\u5355\u7684\u5173\u7cfb\u3002\u5047\u5982\u54cd\u5e94\u51fd\u6570\u6709\u65f6\u6e29\u53e0\u52a0\u6027\uff0c\u76f8\u5173\u51fd\u6570\u4e5f\u4f1a\u6709\u65f6\u6e29\u53e0\u52a0\u6027\u3002\u4f46\u662f\u5728\u8fdc\u79bb\u5e73\u8861\u6001\uff08off-equilibrium\uff09\u7684\u6761\u4ef6\u4e0b\u5f80\u5f80FDT\u6761\u4ef6\u4e0d\u518d\u6ee1\u8db3\uff0c\u4f46\u662f\u6211\u4eec\u4ecd\u7136\u80fd\u591f\u770b\u5230\uff0c\u76f8\u5173\u51fd\u6570\u548c\u54cd\u5e94\u51fd\u6570\u90fd\u4f1a\u7b26\u5408time\u2013aging time superposition\u3002\u76ee\u524d\u6709\u4e00\u4e2a\u201c\u5e7f\u4e49FDT\u201d\u7684\u552f\u8c61\u6846\u67b6\uff0c\u4fdd\u6301\u4e86FDT\u7684\u57fa\u672c\u5f62\u5f0f\uff0c\u53ef\u4ee5\u89e3\u91ca\u7269\u7406\u8001\u5316\u8fd9\u4e00\u8fdc\u79bb\u5e73\u8861\u6001\u8fc7\u7a0b\u4e0b\u76f8\u5173\u51fd\u6570\u548c\u54cd\u5e94\u51fd\u6570\u4e4b\u95f4\u7684\u5173\u8054\u7cfb\uff0c\u5f15\u5165\u4e86\u7b49\u6548\u6e29\u5ea6<i>T<\/i><sub>eff<\/sub>\u7684\u6982\u5ff5\u3002\u4f46\u662f\u5177\u4f53\u662f\u4ec0\u4e48\u7ed3\u6784\u5728\u63a7\u5236\u7740<i>T<\/i><sub>eff<\/sub>\uff0c\u8fd8\u7f3a\u4e4f\u80fd\u56de\u7b54\u6b64\u95ee\u9898\u7684\u7ed3\u6784\u6a21\u578b\u3002\u73b0\u5728\u4e00\u4e9b\u80fd\u9884\u6d4b\u7269\u7406\u8001\u5316\u7684\u6a21\u578b\uff0c\u6700\u5e38\u7528\u7684\u8981\u6570\u57fa\u4e8etrap model\u7684soft glassy 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\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":5675,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/5675","url_meta":{"origin":4999,"position":1},"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 -model\u3002\u4f7f\u7528\u8fd9\u4e2a\u6a21\u578b\u6765\u9884\u6d4bLAOS\u7ed3\u679c\u7684\u62a5\u9053\u5df2\u7ecf\u6709\u4e86\u3002MCT-ITT\u7684\u6570\u5b66\u8fdc\u8fdc\u8d85\u8fc7\u4e86\u6211\u7684\u80fd\u529b\uff0c\u6211\u662f\u6700\u8fd1\u627e\u5230\u4e86\u4e00\u4e2a\u61c2\u6570\u5b66\u7684\u670b\u53cb\u5e2e\u5fd9\u8ba1\u7b97MCT\uff0c\u624d\u8003\u8651\u8fd9\u4e2a\u95ee\u9898\u7684\u3002\u8fd9\u9879\u5de5\u4f5c\u6b63\u5728\u8fdb\u884c\u4e2d\uff0c\u5b58\u5728\u4e00\u4e9b\u95ee\u9898\uff0c\u7a0d\u540e\u518d\u8bf4\u3002 \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 rheology\u3002\u8fd9\u91cc\u7684superposition\u662f\u6307\u5728\u4e00\u4e2a\u7a33\u6001\u526a\u5207\u7684\u6d41\u573a\u4e0a\u53e0\u52a0\u4e00\u4e2a\u5c0f\u5e45\u632f\u8361\u7684\u6d41\u573a\u3002\u6837\u54c1\u7684\u54cd\u5e94\u53ef\u4ee5\u5206\u79bb\u6210\u7a33\u6001\u526a\u5207\u7684\u90e8\u5206\u548c\u5c0f\u5e45\u632f\u8361\u7684\u90e8\u5206\uff0c\u540e\u8005\u53ef\u4ee5\u6309\u7167\u7ebf\u6027\u54cd\u5e94\u7684\u505a\u6cd5\u5f97\u5230\u677e\u5f1b\u8c31\u3002\u4e00\u5171\u6709\u5e73\u884c\u548c\u6b63\u4ea4\u4e24\u79cd\u53e0\u52a0\u65b9\u6cd5\u3002\u6709\u62a5\u9053\u79f0\uff0c\u5e73\u884c\u53e0\u52a0\u7531\u4e8e\u8026\u5408\u7684\u56e0\u7d20\u5e76\u4e0d\u80fd\u83b7\u5f97\u771f\u6b63\u7684\u677e\u5f1b\u8c31\uff0c\u5fc5\u9762\u8981\u6b63\u4ea4\u53e0\u52a0\u7684\u624d\u53ef\u4ee5\u3002\u65e0\u8bba\u662f\u54ea\u79cd\u53e0\u52a0\uff0c\u90fd\u4e0d\u5bb9\u6613\u5728\u5546\u7528\u6d41\u53d8\u4eea\u4e0a\u5b9e\u73b0\u7684\uff0c\u9700\u8981\u8fdb\u884c\u6539\u9020\uff0c\u6240\u4ee5\u6211\u6682\u65f6\u4e0d\u80fd\u4eb2\u81ea\u505a\u8fd9\u6837\u7684\u5b9e\u9a8c\u3002\u6587\u732e\u62a5\u9053\u4e2d\u503c\u5f97\u7559\u610f\u7684\u6709\u5982\u4e0b\u8fd9\u4e9b\u3002\u5bf9\u9ad8\u5206\u5b50\u6eb6\u6db2\u505a\u4e86\u53e0\u52a0\u6d41\u53d8\u6d4b\u8bd5\uff0c\u53d1\u73b0\u6240\u5f97\u5230\u7684\u7ed3\u679c\u65e0\u6cd5\u8fdb\u884ctime-shear superposition\u3002\u5bf9\u805a\u4e59\u70ef\u7194\u4f53\u7684\u5b9e\u9a8c\u4e5f\u770b\u5230\u7c7b\u4f3c\u7684\u7ed3\u679c\u3002\u8fd9\u4e5f\u547c\u5e94\u4e86\u524d\u6587\u6240\u8bf4\u7f20\u7ed3\u4f53\u7cfb\u4e0d\u7b26\u5408SRFS\u7684\u73b0\u8c61\u3002\u80f6\u4f53\u4f53\u7cfb\u65b9\u9762\uff0c\u62a5\u9053\u4e86\u4e00\u4e9b\u672a\u53e0\u52a0\u7684\u5b9e\u9a8c\u7ed3\u679c\uff0c\u6211\u8fd8\u9700\u8981\u628a\u6587\u4e2d\u7684\u6570\u636e\u63d0\u53d6\u51fa\u6765\u5c1d\u8bd5\u53e0\u52a0\u6765\u9a8c\u8bc1\u4e00\u4e0b\u3002\u4f46\u662f\u5219\u51e0\u4e4e\u76f4\u63a5\u8bc1\u5b9e\u4e86time-shear superposition\u4e86\uff0c\u4f5c\u8005\u7ed9\u51fa\u4e86\u4e0d\u540c\u7a33\u6001\u5e94\u529b\u53e0\u52a0\u7684\u5c0f\u5e45\u626b\u9891\u66f2\u7ebf\uff0c\u5e76\u53e0\u52a0\u6210\u4e86\u4e3b\u66f2\u7ebf\uff0c\u4f46\u662f\u6ca1\u6709\u7ed9\u51fa\u76f8\u5e94\u7684\u526a\u5207\u901f\u7387\uff0c\u4e5f\u6ca1\u6709\u5bf9\u5e73\u79fb\u56e0\u5b50\u8fdb\u884c\u8ba8\u8bba\u3002\u4f46\u8fd9\u4e00\u62a5\u9053\u8bf4\u660e\uff0c\u80f6\u4f53\u4f53\u7cfb\u5728\u6d41\u53d8\u5b66\u884c\u4e3a\u4e0a\u4e5f\u662f\u7b26\u5408time-shear 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superposition\u5173\u7cfb\u5230\u03b2\u677e\u5f1b\u8fc7\u7a0b\u7684\u6807\u5ea6\u7279\u6027\u3002\u5bf9\u6b64\u8fdb\u884c\u4e86\u63a8\u5bfc\u3002\u5728\u73bb\u7483\u5316\u8f6c\u53d8\u9644\u8fd1\uff08\uff09\u5bc6\u5ea6\u76f8\u5173\u51fd\u6570\uff0c\u5176\u4e2dfq\u662fDebye-Waller factor\u3002\u5728MCT\u7684\u505a\u6cd5\u4e2d\uff0c\u4f3c\u4e4e\u89c4\u5b9a\u4e86b=1\u3002\u5176\u6b21\uff0c\u03c4\u4e0e\u7684\u5173\u7cfb\uff0c\u4e5f\u4f3c\u4e4e\u662f\u4eba\u4e3a\u89c4\u5b9a\u4e86\u7684\uff0c\u4f53\u73b0\u5728schematic -model\u7684memory function\u5f62\u5f0f\u7684\u9009\u62e9\u4e0a\uff1a \u8fd9\u662f\u5426\u8bf4\u660e\u54ea\u6015\u662fMCT\u7406\u8bba\u4e5f\u5e76\u6ca1\u6709\u9053\u51fatime-shear superposition\u7684\u7269\u7406\u5b9e\u8d28\uff1f\u2026","rel":"","context":"In &quot;\u6211\u7684\u7814\u7a76\u7b14\u8bb0&quot;","block_context":{"text":"\u6211\u7684\u7814\u7a76\u7b14\u8bb0","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/rheo"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":4846,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/4846","url_meta":{"origin":4999,"position":2},"title":"\u51dd\u80f6\u5316\u8fc7\u7a0b\u7684\u677e\u5f1b\u65f6\u95f4","author":"Andrew","date":"2012\u5e748\u67089\u65e5","format":false,"excerpt":"\u524d\u6bb5\u65f6\u95f4\uff0c\u6211\u82b1\u65f6\u95f4\u641e\u6e05\u695a\u4e86\u65f6\u6e29\u53e0\u52a0\uff08\u4ee5\u53ca\u6240\u6709\u5173\u4e8e\u76f8\u5173\u51fd\u6570\u548c\u54cd\u5e94\u51fd\u6570\u7684\u53e0\u52a0\uff09\u5f97\u5230\u7684\u677e\u5f1b\u65f6\u95f4\u6bd4\u503c\uff0c\u662f\u4ec0\u4e48\u677e\u5f1b\u65f6\u95f4\u3002\u5728KWW\u5f62\u5f0f\u51fd\u6570\u7684\u60c5\u51b5\uff0c\u53ef\u8bc1\u5b9e\u53e0\u52a0\u56e0\u5b50\u662f\u5e73\u5747\u677e\u5f1b\u65f6\u95f4\u4e4b\u6bd4\u3002\u6700\u8fd1\u8fd9\u51e0\u5929\uff0c\u6211\u4e3b\u8981\u60f3\u641e\u6e05\u695a\uff0c\u51dd\u80f6\u5316\u8fc7\u7a0b\u4e2d\u7684\u677e\u5f1b\u65f6\u95f4\u662f\u4ec0\u4e48\u677e\u5f1b\u65f6\u95f4\u3002\u8fd9\u91cc\u7684\u51dd\u80f6\u5316\u662f\u6307\u4e0d\u53ef\u9006\u805a\u96c6\uff08irreversible 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\u95ee\u9898\u5728\u4e8e\uff0c\u51dd\u80f6\u5316\u70b9\u4e4b\u540e\u600e\u4e48\u529e\u3002\u901a\u8fc7\u53e0\u52a0\u5f97\u5230\u7684\u56e0\u5b50\uff0c\u5e94\u8be5\u4ecd\u662f\u4e00\u4e2a\u5177\u6709\u677e\u5f1b\u65f6\u95f4\u6982\u5ff5\u7684\u91cf\u3002\u4f46\u662f\u51dd\u80f6\u5316\u4e4b\u540e\u4f53\u7cfb\u7684\u677e\u5f1b\u65f6\u95f4\u53d1\u6563\u4e86\u3002\u53e0\u52a0\u5f97\u5230\u4e00\u4e2a\u03c4\uff0c\u53c8\u4ee3\u8868\u4ec0\u4e48\u5462\uff1f\u6211\u89c9\u5f97\u8fd9\u662f\u5269\u4f59\u81ea\u7531cluster\u4ececage\u4e2d\u9003\u79bb\u7684\u5e73\u5747\u65f6\u95f4\u3002\u505a\u52a8\u6001\u5149\u6563\u5c04\u7684\u65f6\u5019\uff0c\u51dd\u80f6\u5316\u4e4b\u540e\u7684\u52a8\u6001\u7ed3\u6784\u56e0\u5b50\u4e0d\u80fd\u5b8c\u5168\u8870\u51cf\uff0c\u800c\u662f\u8fbe\u5230\u4e00\u4e2a\u6709\u9650\u5e73\u53f0\u503c\uff0c\u8be5\u503c\u662fDebye-Waller factor\uff0c\u53c8\u79f0\u4e3aEdwards-Anderson order 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