{"id":5225,"date":"2013-03-31T21:35:18","date_gmt":"2013-03-31T13:35:18","guid":{"rendered":"http:\/\/www.andrewsun.net\/panta_rhei\/?p=5225"},"modified":"2013-03-31T21:38:57","modified_gmt":"2013-03-31T13:38:57","slug":"kcite%e6%8f%92%e4%bb%b6%e6%b5%8b%e8%af%95","status":"publish","type":"post","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/5225","title":{"rendered":"kcite\u63d2\u4ef6\u6d4b\u8bd5"},"content":{"rendered":"
\n

\u88c5\u4e86kcite\u63d2\u4ef6\uff0c\u53ef\u4ee5\u5c06\u6587\u4e2d\u7684DOI\u53f7\u76f4\u63a5\u6e32\u67d3\u6210\u6070\u5f53\u7684\u5f15\u7528\uff08\u6587\u4e2d\u53d8\u5e8f\u53f7\uff0c\u6587\u672b\u52a0bibliography\uff09\u3002\u672c\u9875\u4e3a\u6d4b\u8bd5\u3002<\/p>\n

Recently, many simulation and experiment studies have been published [1]<\/a><\/span> to reveal the precise features of the jamming phase diagram for different amorphous systems within this framework. Of many model systems for the jamming transition, the poly(N<\/i>-isopropylacrylamide) (PNIPAM) microgel suspension is a unique one. The particles are soft and deformable, so they can be efficiently packed beyond the close packing condition for the hard spheres. Moreover, due to the thermo-responsibility, a small change in temperature will cause a large change of the particle diameter. This endows PNIPAM microgel suspensions with interesting physical and rheological properties [2]<\/a><\/span>[3]<\/a><\/span>. Different from the inert hard sphere counterparts, the PNIPAM microgel suspension undergoes a transition from solid-like to liquid-like state with increasing temperature not due to the increase in thermal energy k<\/i>B<\/sub>T<\/i>, but due to the decrease in the particle diameter, which lowered the effective volume fraction \u03c6<\/i>eff<\/sub> of the particles in the suspension [4]<\/a><\/span>[5]<\/a><\/span>[6]<\/a><\/span>[7]<\/a><\/span>. In the view of jamming phase diagram, T<\/i> was coupled with \u03c6<\/i>eff<\/sub>, so that the PNIPAM microgel suspension state cannot be independently controlled by T<\/i> and \u03c6<\/i>eff<\/sub>. Moreover, the softness of the microgel particles was also changed by the swelling extent. There was a report where \u03c6<\/i>eff<\/sub> was varied by the particle number density at constant temperature [8]<\/a><\/span>, but direct comparison between the effect of the two control variables, T<\/i> and concentration, on increasing \u03c6eff<\/sub> is lacking. In the jamming state, the microgel suspension responded essentially elastically to the applied small strain and turned to the shear-unjamming state and flowed beyond yielding by tuning control variables [9]<\/a><\/span>. The flow of the microgel suspensions after yielding was nonlinear viscoelastic [10]<\/a><\/span>[11]<\/a><\/span>.<\/p>\n

References<\/h2>\n
    \n
  1. <\/a>\nM.P. Ciamarra, M. Nicodemi, and A. Coniglio, \"Recent results on the jamming phase diagram\", Soft Matter<\/i>, vol. 6, pp. 2871, 2010. http:\/\/dx.doi.org\/10.1039\/b926810c<\/a>\n\n\n<\/li>\n
  2. <\/a>\nB. Sierra\u2010Martin, J.J. Lietor\u2010Santos, A. Fernandez\u2010Barbero, T.T. Nguyen, and A. Fernandez\u2010Nieves, \"Swelling Thermodynamics of Microgel Particles\", Microgel Suspensions<\/i>, pp. 71-116, 2011. http:\/\/dx.doi.org\/10.1002\/9783527632992.ch4<\/a>\n\n\n<\/li>\n
  3. <\/a>\nM. Cloitre, \"Yielding, Flow, and Slip in Microgel Suspensions: From Microstructure to Macroscopic Rheology\", Microgel Suspensions<\/i>, pp. 283-309, 2011. http:\/\/dx.doi.org\/10.1002\/9783527632992.ch11<\/a>\n\n\n<\/li>\n
  4. <\/a>\nG. Romeo, A. Fernandez\u2010Nieves, H.M. Wyss, D. Acierno, and D.A. Weitz, \"Temperature\u2010Controlled Transitions Between Glass, Liquid, and Gel States in Dense p\u2010NIPA Suspensions\", Advanced Materials<\/i>, vol. 22, pp. 3441-3445, 2010. http:\/\/dx.doi.org\/10.1002\/adma.200904189<\/a>\n\n\n<\/li>\n
  5. <\/a>\nZ. Zhang, N. Xu, D.T.N. Chen, P. Yunker, A.M. Alsayed, K.B. Aptowicz, P. Habdas, A.J. Liu, S.R. Nagel, and A.G. Yodh, \"Thermal vestige of the zero-temperature jamming transition\", Nature<\/i>, vol. 459, pp. 230-233, 2009. http:\/\/dx.doi.org\/10.1038\/nature07998<\/a>\n\n\n<\/li>\n
  6. <\/a>\nJ. Mattsson, H.M. Wyss, A. Fernandez-Nieves, K. Miyazaki, Z. Hu, D.R. Reichman, and D.A. Weitz, \"Soft colloids make strong glasses\", Nature<\/i>, vol. 462, pp. 83-86, 2009. http:\/\/dx.doi.org\/10.1038\/nature08457<\/a>\n\n\n<\/li>\n
  7. <\/a>\nF. Scheffold, P. D\u00edaz-Leyva, M. Reufer, N. Ben Braham, I. Lynch, and J.L. Harden, \"Brushlike Interactions between Thermoresponsive Microgel Particles\", Physical Review Letters<\/i>, vol. 104, 2010. http:\/\/dx.doi.org\/10.1103\/PhysRevLett.104.128304<\/a>\n\n\n<\/li>\n
  8. <\/a>\nD. Paloli, P.S. Mohanty, J.J. Crassous, E. Zaccarelli, and P. Schurtenberger, \"Fluid\u2013solid transitions in soft-repulsive colloids\", Soft Matter<\/i>, vol. 9, pp. 3000, 2013. http:\/\/dx.doi.org\/10.1039\/c2sm27654b<\/a>\n\n\n<\/li>\n
  9. <\/a>\nH. Senff, and W. Richtering, \"Temperature sensitive microgel suspensions: Colloidal phase behavior and rheology of soft spheres\", The Journal of Chemical Physics<\/i>, vol. 111, pp. 1705-1711, 1999. http:\/\/dx.doi.org\/10.1063\/1.479430<\/a>\n\n\n<\/li>\n
  10. <\/a>\nV. Carrier, and G. Petekidis, \"Nonlinear rheology of colloidal glasses of soft thermosensitive microgel particles\", Journal of Rheology<\/i>, vol. 53, pp. 245-273, 2009. http:\/\/dx.doi.org\/10.1122\/1.3045803<\/a>\n\n\n<\/li>\n
  11. <\/a>\nA. Le Grand, and G. Petekidis, \"Effects of particle softness on the rheology and yielding of colloidal glasses\", Rheologica Acta<\/i>, vol. 47, pp. 579-590, 2008. http:\/\/dx.doi.org\/10.1007\/s00397-007-0254-z<\/a>\n\n\n<\/li>\n<\/ol>\n\n<\/div> ","protected":false},"excerpt":{"rendered":"

    \u88c5\u4e86kcite\u63d2\u4ef6\uff0c\u53ef\u4ee5\u5c06\u6587\u4e2d\u7684DOI\u53f7\u76f4\u63a5\u6e32\u67d3\u6210\u6070\u5f53\u7684\u5f15\u7528\uff08\u6587\u4e2d\u53d8\u5e8f\u53f7\uff0c\u6587\u672b\u52a0bibliography\uff09\u3002\u672c\u9875\u4e3a\u6d4b\u8bd5\u3002 Recently, many simulation and experiment studies have been published to reveal the precise features of the jamming phase diagram for different amorphous systems within this framework. Of many model systems for the jamming transition, the poly(N-isopropylacrylamide) (PNIPAM) microgel suspension is a unique one. The particles are soft and deformable, so they can be efficiently […]<\/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":[264],"tags":[],"class_list":["post-5225","post","type-post","status-publish","format-standard","hentry","category-264"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1aPvF-1mh","jetpack-related-posts":[{"id":6662,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/6662","url_meta":{"origin":5225,"position":0},"title":"\u6211\u73b0\u5728\u505a\u7814\u7a76\u7684\u65b9\u6cd5","author":"Andrew","date":"2015\u5e748\u670815\u65e5","format":"aside","excerpt":"\u7559\u610f\u5230\u4e86\u4e24\u7bc7\u7814\u7a76\u8682\u8681\u884c\u8d70\u8f68\u8ff9\u7684\u8bba\u6587\u3002\u7b2c\u4e00\u7bc7\u662f\u5b9e\u9a8c\u89c2\u5bdf\uff0c\u7b2c\u4e8c\u7bc7\u662f\u5efa\u6a21\u7684\u5de5\u4f5c\u3002\u4e3b\u8981\u7684\u53d1\u73b0\u662f\u8682\u8681\u7684\u884c\u961f\u968f\u7740\u5bc6\u5ea6\u4e0d\u65ad\u5347\u9ad8\u6ca1\u6709\u53d1\u73b0\u201c\u585e\u8f66\u201d\u7684\u73b0\u8c61\u3002\u8fd9\u4e2a\u7ed3\u8bba\u5728\u79d1\u666e\u7684\u610f\u4e49\u4e0a\u662f\u4e00\u4e2a\u5174\u594b\u70b9\uff0c\u4f46\u6211\u53ea\u6709\u65f6\u95f4\u804a\u804a\u6211\u81ea\u5df1\u7684\u4e00\u4e9b\u5fc3\u5f97\u3002 \u8fd9\u4e24\u7bc7\u6587\u7ae0\u4e2d\u7684jamming\u8ddf\u80f6\u4f53\u4f53\u7cfb\u7684jamming\u662f\u4e24\u56de\u4e8b\u3002\u524d\u8005\u662f\u6307\u4ea4\u901a\u5835\u585e\uff0c\u5c5e\u4e8eself-propelled\u4f53\u7cfb\u7684\u6027\u8d28\u3002\u4f46\u6211\u7531\u4e8e\u6b63\u5728\u505aparticle tracking\u7684\u7814\u7a76\uff0c\u6240\u4ee5\u5bf9\u8fd9\u79cd\u79bb\u6563\u4f53\u7cfb\u7684\u73b0\u8c61\u90fd\u4f1a\u5173\u6ce8\u4e00\u4e0b\u3002\u5c24\u5176\u662f\u60f3\u5411\u5404\u7c7b\u4f53\u7cfb\u7684\u7814\u7a76\u5b66\u4e60\u5982\u4f55\u91cf\u5316\u4e00\u4e2a\u73b0\u8c61\u6216\u4f53\u7cfb\u7684\u4e00\u79cd\u884c\u4e3a\uff0c\u5f97\u5230\u7269\u7406\u4e0a\u7684\u7ed3\u8bba\u3002 \u4e00\u4e2a\u7269\u7406\u4f53\u7cfb\u6216\u8005\u8fc7\u7a0b\uff0c\u4e0d\u540c\u7684\u7814\u7a76\u8005\u5728\u5b9e\u9a8c\u5ba4\u91cd\u73b0\u7684\u7ed3\u679c\u90fd\u4f1a\u6709\u4e9b\u533a\u522b\u3002\u5c5e\u4e8e\u8bef\u5dee\u7684\u90e8\u5206\uff0c\u6211\u4eec\u5c31\u4e0d\u5173\u5fc3\u4e86\uff0c\u8fd9\u4e9b\u90fd\u5c5e\u4e8e\u7269\u7406\u4e0a\u7684\u4e0d\u7406\u60f3\u6027\u3002\u4f46\u6709\u4e9b\u533a\u522b\u662f\u6765\u81ea\u4e8e\u4e0d\u540c\u7814\u7a76\u8005\u7684\u77e5\u8bc6\u80cc\u666f\u548c\u7814\u7a76\u610f\u56fe\u7684\uff0c\u6709\u4e9b\u533a\u522b\u5219\u662f\u6765\u81ea\u7279\u5b9a\u5b9e\u9a8c\u5ba4\u7684\u957f\u5904\u6216\u8005\u9650\u5236\u7684\u3002\u6211\u89c9\u5f97\u8fd9\u4e9b\u533a\u522b\u503c\u5f97\u91cd\u89c6\u3002\u6253\u4e2a\u6bd4\u65b9\uff0c\u80f6\u4f53\u60ac\u6d6e\u6db2\u4e0d\u540c\u6d53\u5ea6\u548c\u7c92\u5b50\u76f8\u4e92\u4f5c\u7528\u7684\u4f53\u7cfb\u6027\u8d28\u5927\u81f4\u90fd\u5df2\u7ecf\u4e86\u89e3\uff0c\u4f46\u6709\u4e00\u4f4d\u7814\u7a76\u8005\u7531\u4e8e\u5176\u7814\u7a76\u80cc\u666f\u7684\u60ef\u6027\u6216\u7279\u6b8a\u76ee\u7684\uff0c\u7814\u7a76\u76f8\u4e92\u4f5c\u7528\u6781\u5f3a\uff0c\u6216\u8005\u7279\u6b8a\u60ac\u6d6e\u4ecb\u8d28\u7684\u60c5\u51b5\u3002\u539f\u672c\u8be5\u7814\u7a76\u8005\u6ca1\u4ec0\u4e48\u539f\u521b\u6027\u7684\u6253\u7b97\uff0c\u51c6\u5907\u6309\u7167\u80f6\u4f53\u7684\u4e00\u822c\u7269\u7406\u6a21\u578b\u5927\u81f4\u5957\u4e00\u5957\uff0c\u5374\u53d1\u73b0\u5b8c\u5168\u65e0\u6cd5\u7406\u89e3\u81ea\u5df1\u7684\u5b9e\u9a8c\u7ed3\u679c\uff0c\u4e8e\u662f\u4e0d\u5f97\u4e0d\u91cd\u65b0\u5206\u6790\uff0c\u5f97\u51fa\u4e86\u4e00\u4e2a\u7279\u6b8a\u60c5\u51b5\u7684\u6a21\u578b\u3002\u8fd9\u79cd\u4e3a\u4e86\u8ba4\u8bc6\u81ea\u5df1\u60f3\u8981\u8ba4\u8bc6\u7684\u7279\u5b9a\u95ee\u9898\u800c\u201c\u88ab\u8feb\u201d\u4f5c\u51fa\u7684\u539f\u521b\u6027\u5de5\u4f5c\uff0c\u5e94\u8be5\u624d\u662f\u6240\u8c13\u201c\u521b\u65b0\u201d\u7684\u5e38\u89c4\u6027\u6765\u6e90\uff0c\u4e5f\u662f\u6211\u4ece\u81ea\u5df1\u6709\u9650\u7684\u7814\u7a76\u7ecf\u5386\u7684\u4f53\u4f1a\u3002\u56e0\u4e3a\uff0c\u4ee5\u6211\u7684\u8d44\u8d28\uff0c\u4ece\u9009\u9898\u4e0a\u5c31\u80fd\u505a\u5230\u6a2a\u7a7a\u51fa\u4e16\uff0c\u8fdb\u884c\u6e90\u5934\u521b\u65b0\uff0c\u6bd4\u8f83\u56f0\u96be\u3002\u6211\u4e5f\u4e0d\u662f\u90a3\u79cd\u4e00\u5929\u5230\u665a\u82e6\u601d\u51a5\u60f3\u600e\u6837\u6807\u65b0\u7acb\u5f02\u7684\u6027\u683c\uff0c\u6240\u4ee5\u6211\u867d\u7136\u662f\u6750\u6599\u5b66\u9662\u51fa\u8eab\uff0c\u4f46\u5b9e\u5728\u4e0d\u9002\u5e94\u529f\u80fd\u6750\u6599\u7814\u7a76\uff0c\u8d8a\u505a\u8d8a\u9760\u7269\u7406\u7684\u7f18\u6545\u3002\u66f4\u591a\u7684\u65f6\u5019\uff0c\u6211\u90fd\u662f\u4ece\u6211\u7684\u5b9e\u9a8c\u4e2d\u53d1\u73b0\u4e86\u67e5\u6587\u732e\u65e0\u6cd5\u5f88\u597d\u5730\u56de\u7b54\u7684\u5c0f\u73b0\u8c61\uff0c\u5b83\u4e5f\u8bb8\u5f88\u6b21\u8981\uff0c\u5728\u5927\u7269\u7406\u5b66\u5bb6\u773c\u4e2d\u5c5e\u4e8e\u975e\u5e38trivial\u7684\u95ee\u9898\uff0c\u4f46\u5f53\u65f6\u4f5c\u4e3a\u5b66\u751f\u8fd9\u662f\u6211\u63d0\u51fa\u731c\u60f3\uff08hypothesis\uff09\uff0c\u8fdb\u884c\u7b80\u5355\u63a8\u7406\uff0c\u7136\u540e\u5b9e\u9a8c\u9a8c\u8bc1\u7684\u7ec3\u4e60\u673a\u4f1a\uff0c\u4e5f\u662f\u8003\u9a8c\u6211\u5404\u65b9\u9762\u57fa\u672c\u529f\u7684\u673a\u4f1a\uff0c\u6240\u4ee5\u6211\u7279\u522b\u559c\u6b22\u94bb\u8fd9\u4e9b\u95ee\u9898\u3002 \u6709\u65f6\uff0c\u4f60\u770b\u7684\u7269\u7406\u8fc7\u7a0b\u662f\u5f88\u591a\u4eba\u62a5\u5bfc\u8fc7\u7684\u3002\u4f46\u662f\u4f60\u4eb2\u81ea\u505a\u8fd9\u4e2a\u5b9e\u9a8c\uff0c\u5c31\u4f1a\u89c9\u5f97\u539f\u59cb\u6570\u636e\u4e2d\u7684\u4fe1\u606f\u8fdc\u6bd4\u4f60\u4ece\u8bba\u6587\u770b\u5230\u7684\u8981\u4e30\u5bcc\u5f97\u591a\u3002\u8bba\u6587\u5f80\u5f80\u90fd\u6293\u4f4f\u6700\u91cd\u8981\u7684\u7279\u5f81\u8fdb\u884c\u62bd\u8c61\u548c\u91cf\u5316\u3002\u4f60\u53ea\u770b\u8bba\u6587\uff0c\u5c31\u4ee5\u4e3a\u8fd9\u4e2a\u7269\u7406\u73b0\u8c61\u9664\u4e86\u8fd9\u4ef6\u4e8b\u5c31\u6ca1\u522b\u7684\u4e8b\u4e86\u3002\u4eb2\u81ea\u770b\u4e86\u539f\u59cb\u73b0\u8c61\uff0c\u4f60\u5f80\u5f80\u4f1a\u88ab\u53e6\u4e00\u4e9b\u62a5\u9053\u5f88\u5c11\u5173\u6ce8\u7684\u7279\u5f81\u6240\u5438\u5f15\u3002\u8fd9\u65f6\uff0c\u5982\u4f55\u91cf\u5316\u8fd9\u4e9b\u7279\u6b8a\u7684\u884c\u4e3a\u7279\u5f81\uff0c\u4f60\u6ca1\u6709\u8303\u4f8b\uff0c\u4e0d\u80fd\u201c\u7167\u7740\u522b\u4eba\u53d1\u8868\u7684\u8bba\u6587\u6765\u505a\u201d\u3002\u5230\u5e95Fig. 1\u662f\u4ec0\u4e48\u7269\u7406\u91cf\uff0cFig. 2\u53c8\u63a8\u5bfc\u51fa\u4ec0\u4e48\u7269\u7406\u91cf\uff0c\u600e\u6837\u80fd\u591f\u6df1\u5165\u5730\u5206\u6790\uff0c\u4ee5\u8fbe\u5230\u8981\u7528\u4e09\u5230\u4e94\u4e2afigure\u7684\u6df1\u5ea6\uff1f\u5f52\u6839\u7ed3\u5e95\u5c31\u662f\u505a\u8fd9\u4e09\u4ef6\u4e8b\uff1a\u627e\u7eb5\u5750\u6807\u3001\u627e\u6a2a\u5750\u6807\u548c\u6c42\u5bfc\u3002\u8fd9\u4e2a\u91cf\u5316\u7684\u8fc7\u7a0b\uff0c\u662f\u4e00\u4e2a\u6570\u5b66\u5206\u6790\u7684\u57fa\u672c\u529f\u3002\u6240\u4ee5\uff0c\u73b0\u5728\u6211\u770b\u8bba\u6587\uff0c\u90fd\u60f3\u4ece\u5176\u4ed6\u9886\u57df\u7684\u7814\u7a76\u4e2d\u5b66\u4e60\u8fd9\u65b9\u9762\u7684\u7ecf\u9a8c\u3002","rel":"","context":"In "\u5de5\u4f5c\u7b14\u8bb0"","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":6205,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/6205","url_meta":{"origin":5225,"position":1},"title":"\u65b0\u53d1\u8868\u6587\u7ae0\u7684\u81f4\u8c22","author":"Andrew","date":"2015\u5e741\u670817\u65e5","format":"aside","excerpt":"[latexpage] \u6211\u7684\u4e00\u7bc7\u6587\u7ae0\u5728Journal of Colloid and Interface Science\u4e0a\u53d1\u8868\u4e86\u3002\u7b2c\u4e00\u4f5c\u8005\u662f\u5b9e\u9a8c\u7684\u5b8c\u6210\u4eba\uff0c\u6211\u5bf9\u5b9e\u9a8c\u7ed3\u679c\u8fdb\u884c\u4e86\u7406\u8bba\u5206\u6790\u3002\u5177\u4f53\u5185\u5bb9\u53ef\u4ee5\u76f4\u63a5\u53bb\u4e0b\u8f7d\u8bba\u6587\u770b\u3002 \u8fd9\u4e2a\u5de5\u4f5c\u4ece\u5b9e\u9a8c\u5b8c\u6210\u5230\u53d1\u8868\u62d6\u4e86\u5f88\u957f\uff0c\u4e3b\u8981\u65f6\u95f4\u82b1\u5728\u7406\u8bba\u5206\u6790\u90e8\u5206\u3002\u4e00\u5f00\u59cb\u6211\u5e76\u4e0d\u6e05\u695a\u53cd\u79bb\u5b50\u51dd\u805a\uff0c\u53ea\u662f\u53d1\u73b0\u7c98\u571f\u8868\u9762\u7535\u8377\u5bc6\u5ea6\u592a\u5927\uff0c\u800c\u4e14\u5904\u4e8e\u975e\u5bf9\u79f0\uff08asymmetric\uff09\u7684\u7535\u89e3\u8d28\u73af\u5883\uff0c\u56e0\u6b64\u7c92\u5b50\u95f4\u7684\u53cc\u7535\u5c42\u4f5c\u7528\u4e0d\u80fd\u91c7\u7528Debye-H\u00fcckel\u8fd1\u4f3c\uff0c\u4e8e\u662f\u67e5\u5230\u4e86Ohshima\u63a8\u5bfc\u7684\u4e00\u4e2aPoisson-Boltzmann\u7684\u7cbe\u786e\u89e3\u3002\u53ef\u662f\u7528\u8fd9\u4e2a\u89e3\u6765\u8ba1\u7b97\u76f8\u4e92\u4f5c\u7528\u7684\u65f6\u5019\u603b\u662f\u5f97\u51fanonphysical\u7684\u7ed3\u679c\u3002\u6709\u6000\u7591\u8fc7\u81ea\u5df1\u6570\u503c\u8ba1\u7b97\u7684\u4ee3\u7801\u6709\u95ee\u9898\uff0c\u518d\u4e09\u68c0\u9a8c\u548c\u8bf7\u6559\u8fc7\u6bd4\u8f83\u719f\u7684\u4eba\u4e4b\u540e\u4e5f\u6392\u9664\u4e86\u3002\u8fd9\u671f\u95f4\u8001\u677f\u4e5f\u50ac\u8fc7\uff0c\u4ed6\u4e0d\u77e5\u9053\u8fd9\u4e9b\u5177\u4f53\u7684\u7ec6\u8282\uff0c\u5c31\u53ea\u89c9\u5f97\u6ca1\u5fc5\u8981\u62d6\u8fd9\u4e48\u4e45\uff0c\u6211\u4e0d\u5f97\u4e0d\u76f4\u63a5\u8bf4\u6211\u8fd9\u4e2a\u53ef\u80fd\u4f1a\u62d6\u5f88\u4e45\uff0c\u56e0\u4e3a\u6211\u8981\u8ba4\u771f\u641e\u61c2\u8fd9\u4e2a\u95ee\u9898\u3002\u7b2c\u4e00\u4f5c\u8005\u7684\u5b66\u751f\u5bf9\u6211\u5c31\u66f4\u6ca1\u64a4\u4e86\u3002\u73b0\u5728\u6211\u8fd8\u5f97\u8c22\u8c22\u4ed6\u5e2e\u6211\u505a\u4e86\u8fd9\u4e48\u591a\u5b9e\u9a8c\uff0c\u8fd8\u5f97\u88ab\u6211\u538b\u7740\u4e0d\u53d1\u8868\u3002\u8981\u4e0d\u662f\u4ed6\u62fc\u547d\u505a\u5b9e\u9a8c\uff0c\u6211\u521a\u5de5\u4f5c\u7684\u8fd9\u4e24\u5e74\u53ef\u80fd\u90fd\u6ca1\u529e\u6cd5\u6709\u8fd9\u4e48\u51e0\u7bc7\u6587\u7ae0\u5411\u5916\u754c\u4ea4\u5dee\u3002\u8bf4\u56de\u5230\u8ba1\u7b97\u7684\u95ee\u9898\uff0c\u540e\u6765\u6211\u5b9e\u5728\u6ca1\u529e\u6cd5\uff0c\u60f3\u627eOhshima\u672c\u4eba\u95ee\u4e00\u4e0b\u3002\u5176\u5b9e\u4e4b\u524d\u4e00\u76f4\u4ee5\u4e3aOhshima\u662f\u4e00\u4e2a\u8fc7\u4e16\u4e86\u7684\u4eba\uff0c\u6240\u4ee5\u9047\u5230\u95ee\u9898\u4e00\u76f4\u90fd\u6ca1\u60f3\u8fc7\u53bb\u95ee\u672c\u4eba\u3002\u76f4\u5230\u6700\u540e\u6211\u60f3\u67e5\u4ed6\u7684\u5de5\u4f5c\u7684\u540e\u7eed\u5f15\u7528\u60c5\u51b5\uff0c\u770b\u770b\u522b\u4eba\u662f\u600e\u4e48\u4f7f\u7528\u4ed6\u7684\u7ed3\u679c\u7684\uff0c\u53d1\u73b0\u4f7f\u7528\u4ed6\u7ed3\u679c\u7684\u4eba\u51e0\u4e4e\u6ca1\u6709\uff0c\u4f46\u4ed6\u81ea\u5df1\u6709\u53d1\u8868\u65b0\u7684\u6587\u7ae0\uff0c\u6700\u65b0\u7684\u6709\u5230200X\u5e74\uff0c\u4e8e\u662f\u624d\u611f\u89c9\u8fd9\u4e2a\u4eba\u53ef\u80fd\u662f\u8fd8\u5728\u751f\u7684\u4eba\u3002\u7ecf\u8fc7\u4e00\u756a\u641c\u7d22\uff0c\u624d\u627e\u5230\u4ed6\u7684\u9875\u9762\u4ee5\u53caemail\uff0c\u539f\u6765\u662f\u4e2a\u521a\u9000\u4f11\u7684\u7814\u7a76\u6240\u6240\u957f\u3002\u5f88\u5feb\u5c31\u6536\u5230\u4e86\u4ed6\u7684\u56de\u4fe1\uff0c\u591a\u6b21\u6765\u5f80\u4e4b\u540e\uff0c\u6211\u624d\u77e5\u9053\uff0c\u6211\u7684\u4f53\u7cfb\u5c5e\u4e8esalt-free systems\u6216\u8005counterions only system\uff0c\u6240\u4ee5\u53cd\u79bb\u5b50\u6d53\u5ea6\u662f\u4e0d\u53ef\u5ffd\u7565\u7684\uff0c\u9ad8\u7535\u8377\u5bc6\u5ea6\u65f6\u4f1a\u53d1\u751f\u53cd\u79bb\u5b50\u51dd\u805a\u3002\u8fd9\u5e94\u8be5\u662f\u4e2a\u5e38\u8bc6\u4e86\uff0c\u65e0\u5948\u6211\u77e5\u8bc6\u8fd8\u662f\u6b20\u7f3a\uff0c\u5168\u8d56\u4ed6\u7684\u6307\u70b9\u3002\u4e8e\u662f\u6211\u624d\u91cd\u65b0\u6309\u7167\u53cd\u79bb\u5b50\u51dd\u805a\u7684\u89d2\u5ea6\u6765\u601d\u8003\u6211\u7684\u4f53\u7cfb\u3002 \u5728\u53cd\u79bb\u5b50\u51dd\u805a\u7684\u7814\u7a76\u4e2d\uff0c\u5927\u90e8\u5206\u662f\u8003\u8651\u67f1\u72b6\u7684\u5e26\u7535\u8868\u9762\u7684\uff0c\u4e3b\u8981\u9762\u5411\u7684\u5b9e\u9645\u4f53\u7cfb\u662f\u805a\u7535\u89e3\u8d28\uff08\u5305\u62ecDNA\uff09\u6eb6\u6db2\uff0c\u53c8\u53ebManning condensation\u3002\u7403\u72b6\u7684\u7814\u7a76\u6bd4\u8f83\u5c11\uff0c\u7ecf\u5e38\u53eb\u6210charge renormalization\u3002Manning\u81ea\u5df1\u4e5f\u8003\u8651\u8fc7\u7403\u72b6\u7684\u4f53\u7cfb\uff0c\u4ed6\u7684two-state model\u662f\u4ece\u8003\u8651\u81ea\u7531\u80fd\u51fa\u53d1\uff0c\u8ba4\u4e3a\u7cbe\u786e\u7684\u7ed3\u679c\u8ddfDH\u8fd1\u4f3c\u4e4b\u95f4\u5c31\u662f\u5dee\u4e00\u4e2a\u7cfb\u6570\uff0c\u8fd9\u4e2a\u7cfb\u6570\u7b80\u5355\u5730\u8ba4\u4e3a\u662f\u4e2a\u975e\u51dd\u805a\u79bb\u5b50\u7684\u6bd4\u4f8b\u7cfb\u6570$(1-z\\theta)$\uff0c\u5176\u4e2d$\\theta$\u662f\u51dd\u805a\u79bb\u5b50\u6240\u5360\u6bd4\u4f8b\u3002\u4ed6\u7684\u903b\u8f91\u5176\u5b9e\u662f\u975e\u5e38\u7b03\u5b9a\u201c\u53cd\u79bb\u5b50\u51dd\u805a\u201d\u7684\u56fe\u50cf\uff0c\u8ba4\u4e3a\u6709\u975e\u5e38\u786e\u5b9a\u6570\u91cf\u7684\u53cd\u79bb\u5b50\u53d1\u751f\u4e86\u201c\u51dd\u805a\u201d\u3002\u7136\u540e\uff0c\u901a\u8fc7\u81ea\u7531\u80fd\u6700\u5c0f\u5316\u6765\u6c42\u5f97$\\theta$\u7684\u8868\u8fbe\u5f0f\u3002\u800c\u5219\u662f\u7528cell model\u6765\u6c42\u89e3Poisson-Boltzmann\u65b9\u7a0b\uff0c\u8bc1\u5b9e\u4e86\u7684\u786e\u53ef\u4ee5\u8fdb\u884c\u8868\u9762\u7535\u8377\uff08\u52bf\uff09\u7684\u7b49\u6548\u3002\u7684\u5de5\u4f5c\u867d\u7136\u88ab\u591a\u6b21\u5f15\u7528\uff0c\u4f46\u5c40\u9650\u4e8e\u7406\u8bba\u7814\u7a76\u7684\u5708\u5b50\u4e4b\u5185\u3002\u5f88\u5c11\u6709\u7528\u4ed6\u7684\u7ed3\u679c\u89e3\u91ca\u5b9e\u9a8c\u7684\u5de5\u4f5c\u3002\u505a\u4e86\u4e00\u4e2asalt-free\u4f53\u7cfb\u7684\u7535\u6cf3\u5b9e\u9a8c\u5e76\u4e14\u8fdb\u884c\u4e86\u7406\u8bba\u63cf\u8ff0\uff0c\u4f7f\u7528\u4e86\u4e00\u4e2a\u4e0e\u7c7b\u4f3c\u7684approach\u3002\u6211\u7684\u8bba\u6587\u76f4\u63a5\u7528\u4e86\u7684\u7ed3\u679c\u6765\u8ba1\u7b97\u76f8\u4e92\u4f5c\u7528\u52bf\u80fd$U\\left(h\\right)$\uff0c\u7136\u540e\u8fdb\u4e00\u6b65\u8ba1\u7b97RLCA\u7684stability ratio\uff0c\u5f97\u51fa\u4e0e\u5b9e\u9a8c\u6bd4\u8f83\u543b\u5408\u7684\u7ed3\u679c\uff0c\u5e94\u8be5\u662f\u7b2c\u4e00\u4e2a\u3002 \u6211\u7684\u6587\u7ae0\u53d1\u8868\u65f6\uff0c\u5ba1\u7a3f\u4eba\u4e5f\u663e\u793a\u51fa\u6bd4\u8f83\u9ad8\u7684\u5174\u8da3\uff0c\u8bf4\u6211\u8fd9\u662f\u4e00\u7bc7excellent paper\uff0c\u6709\u4e00\u6761\u4fee\u6539\u610f\u89c1\u8fd8\u662f\u201cThis is an interesting point that should be explored and highlighted further.\u201d \u867d\u7136\u6211\u6587\u7ae0\u7684\u81f4\u8c22\u91cc\u5df2\u7ecf\u611f\u8c22\u4e86Ohshima\uff0c\u4f46\u603b\u89c9\u5f97\u8fd8\u662f\u8981\u4eb2\u81ea\u611f\u8c22\u4ed6\u3002\u6587\u7ae0\u53d1\u8868\u540e\uff0c\u6211\u7ed9Ohshima\u56de\u4fe1\u611f\u8c22\u4ed6\uff0c\u628a\u6587\u7ae0\u7684PDF\u7ed9\u4ed6\u770b\u4e86\u3002\u4ed6\u4e5f\u56de\u4fe1\u5bf9\u6211\u8fdb\u884c\u4e86\u9f13\u52b1\uff1a Dear Dr. Weixiang Sun Thank you very much for sending me your excellent work. Congratulations! I have read your\u2026","rel":"","context":"In "\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0"","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":9022,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/9022","url_meta":{"origin":5225,"position":2},"title":"\u5173\u4e8e\u9ad8\u5206\u5b50\u7684\u7ed3\u6784\u6d41\u53d8\u5b66\u6a21\u578b","author":"Andrew","date":"2024\u5e743\u67081\u65e5","format":false,"excerpt":"\u8fd9\u662f\u4e3a\u8bb8\u5143\u6cfd\u5148\u751f\u7684\u8457\u4f5c\u300a\u9ad8\u5206\u5b50\u7ed3\u6784\u6d41\u53d8\u5b66\u300b\u7684\u7b2c\u4e8c\u7ae0\u6dfb\u52a0\u7684\u8bc4\u8bba\u3002 \u8bb8\u8001\u5e08\u5728\u7b2c\u4e8c\u7ae0\u5f00\u5934\u7684\u8fd9\u6bb5\u8bdd\u2014\u2014 \u9ad8\u5206\u5b50\u7a00\u6eb6\u6db2\u7684\u52a8\u529b\u5b66\u7406\u8bba\u53ef\u8ffd\u6eaf\u523040\u5e74\u4ee3\uff0cKuhn\u3001Kramers\u3001Debye\u548cKirkwood\u7b49\u4eba\u7684\u5de5\u4f5c\u3002\u4ed6\u4eec\u628a\u7edf\u8ba1\u529b\u5b66\u548c\u6d41\u4f53\u529b\u5b66\u7ed3\u5408\u8d77\u6765\uff0c\u6784\u6210\u4e00\u79cd\u201c\u5206\u5b50\u201d\u7406\u8bba\uff0c\u5b9e\u9645\u4e0a\u662f\u5206\u5b50\u7ed3\u6784\u6a21\u578b\u7684\u7406\u8bba\u300250\u5e74\u4ee3\u7531Rouse\u548cZimm\u7b49\u53d1\u5c55\u8fd9\u4e9b\u6982\u5ff5\u548c\u65b9\u6cd5\u5bfc\u51fa\u6d41\u53d8\u5b66\u91cf\u300270\u5e74\u4ee3\u4ee5\u6765\u5f97\u5230\u4e86\u6d41\u53d8\u5b66\u672c\u6784\u65b9\u7a0b\uff0c\u7406\u8bba\u7ed3\u6784\u9010\u6b65\u5b8c\u5584\uff0c\u5e76\u8fdb\u884c\u4e86\u7ec6\u81f4\u7684\u5b9e\u9a8c\u68c0\u9a8c\uff0c\u9488\u5bf9\u4e0d\u8db3\u4e4b\u5904\u53c8\u6709\u5404\u79cd\u65b0\u7684\u63a2\u7d22\u3002\u8fd9\u65b9\u9762\u8f83\u5b8c\u6574\u7684\u603b\u7ed3\u53c2\u89c1Bird\u7b49\u7684\u4e13\u8457\uff0c\u5176\u4e2d\u8f83\u5b8c\u6574\u5730\u53cd\u6620\u4e86\u5f53\u4ee3\u7684\u6c34\u5e73\u3002\u6b64\u5916\u8fd8\u53ef\u53c2\u9605\u4e00\u4e9b\u603b\u7ed3\u6027\u6587\u732e\u3002 \u2014\u2014\u81f3\u4eca\u770b\u6765\u4ecd\u628a\u8be5\u4e66\u51fa\u7248\u65f6\uff081988\u5e74\uff09\u5df2\u7ecf\u5b9a\u578b\u7684\u7406\u8bba\u8ba4\u8bc6\u603b\u7ed3\u5f97\u5f88\u597d\u3002\u8fd9\u4e9b\u6a21\u578b\u53ef\u79f0\u4e3a\u9ad8\u5206\u5b50\u6eb6\u6db2\u7684\u6d41\u53d8\u5b66\u6027\u8d28\u7684\u201c\u7ecf\u5178\u6a21\u578b\u201d\u3002\u5b83\u4eec\u90fd\u662f\u6d41\u4f53\u52a8\u529b\u5b66\uff08hydrodynamic\uff09\u6a21\u578b\uff0c\u5373\u660e\u660e\u6eb6\u8d28\u5206\u5b50\uff08\u5bf9\u4e8e\u9ad8\u5206\u5b50\u6eb6\u8d28\u5219\u6307\u4e00\u4e2a\u94fe\u6bb5\u5355\u5143\uff09\u4e0e\u6eb6\u5242\u5206\u5b50\u7684\u5c3a\u5bf8\u548c\u8d28\u91cf\u5dee\u522b\u4e0d\u5927\uff0c\u5374\u89c6\u540e\u8005\u4e3a\u8fde\u7eed\u4ecb\u8d28\uff0c\u89c6\u524d\u8005\u4e3a\u60ac\u6d6e\u5728\u540e\u8005\u5f53\u4e2d\u53d1\u751f\u5e03\u6717\u8fd0\u52a8\u7684\u80f6\u4f53\u7c92\u5b50\u3002\u4e25\u683c\u610f\u4e49\u4e0a\uff0c\u8fd9\u6837\u7684\u6a21\u578b\u6240\u5f97\u51fa\u7684\u7ed3\u8bba\u5e94\u8be5\u53ea\u5728\u89c2\u6d4b\u65f6\u95f4\u5c3a\u5ea6\u5f88\u5927\u7684\u65f6\u5019\u6210\u7acb\uff0c\u5373\u6db2\u4f53\u975e\u5e73\u8861\u7edf\u8ba1\u4e2d\u7684\u6240\u8c13\u6d41\u4f53\u52a8\u529b\u5b66\u6781\u9650\uff08hydrodynamic limit\uff09\uff0c\u8be6\u89c1The Theory of Simple Liquids\u4e00\u4e66\u3002\u4f8b\u5982\uff0c\u5f39\u6027\u54d1\u94c3\u3001Rouse--Zimm\u548cDoi--Edwards\u6a21\u578b\u90fd\u5c5e\u4e8e\u6b64\u7c7b\u3002\u8fd9\u7c7b\u6a21\u578b\u7684\u5176\u4e2d\u4e00\u4e2a\u5171\u540c\u70b9\u662f\u90fd\u501f\u52a9\u4e86\u80f6\u4f53\u60ac\u6d6e\u6db2\u7684\u504f\u5e94\u529b\u5f20\u91cf\u7406\u8bba\u65b9\u6cd5\u3002\u8be5\u65b9\u6cd5\u7531Kramers\u63d0\u51fa\uff0cKirkwood\u96c6\u5927\u6210\u3002\u6b64\u5373\u4e3a\u8bb8\u8001\u5e08\u539f\u6587\u6240\u8bf4\u7684\u201c\u8ffd\u6eaf\u523040\u5e74\u4ee3\u201d\u3002\u8fd9\u4e00\u7406\u8bba\u65b9\u6cd5\u7528\u5230\u4e86Smoluschowski\u65b9\u7a0b\uff0c\u5176\u4e2d\u542b\u6709\u6d41\u4f53\u52a8\u529b\u5b66\u7684Oseen\u5f20\u91cf\u3002 \u76f8\u6bd4\u800c\u8a00\uff0c\u805a\u5408\u7269\u52a8\u529b\u5b66\u7684\u7b2c\u4e00\u539f\u7406\u6027\u6a21\u578b\u53d1\u5c55\u8f83\u665a\u3002\u6240\u8c13\u7b2c\u4e00\u539f\u7406\u6027\uff0c\u5373\u4ece\u5fae\u89c2\u5355\u5143\uff08\u805a\u5408\u7269\u94fe\u6bb5\u5355\u5143\u6216\u6eb6\u5242\u5206\u5b50\uff09\u7684Hamiltonian\u51fa\u53d1\u5efa\u7acb\u76f8\u7a7a\u95f4\u7684Liouville\u65b9\u7a0b\uff1b\u8fd0\u7528Zwanzig--Mori\u6295\u5f71\u7b97\u7b26\u6cd5\u83b7\u5f97\u4e00\u822c\u76f8\u7a7a\u95f4\u53d8\u91cf\u7684\u5e7f\u4e49Langevin\u65b9\u7a0b\uff1b\u518d\u8fd0\u7528\u67d0\u79cd\u6a21\u5f0f\u8026\u5408\u7406\u8bba\uff08mode-coupling theory\uff09\u6765\u5f97\u5230\u8bb0\u5fc6\u51fd\u6570\u548c\u5305\u62ec\u7c98\u5ea6\u5728\u5185\u7684\u5b8f\u89c2\u8f93\u9001\u6027\u8d28\u3002Zwanzig--Mori\u6295\u5f71\u7b97\u7b26\u6cd5\u53ef\u89c1Theory of Simple Liquids\u4e00\u4e66\u3002\u6a21\u5f0f\u8026\u5408\u7406\u8bba\u7531Kawasaki\u4e8e70\u5e74\u4ee3\u63d0\u51fa\u3002\u6700\u521d\u662f\u7528\u4e8e\u52a8\u529b\u5b66\u4e34\u754c\u884c\u4e3a\u7684\uff0c\u540e\u6765\u5e94\u7528\u4e8e\u975e\u4e34\u754c\u72b6\u6001\u7684\u4f53\u7cfb\u7684\u52a8\u529b\u5b66\uff0c\u53ef\u89c1Keyes\u7684\u7efc\u8ff01\u3002\u7b2c\u4e00\u4e2a\u5c06\u8fd9\u4e2a\u7406\u8bba\u6846\u67b6\u5e94\u7528\u4e8e\u805a\u5408\u7269\u4f53\u7cfb\u7684\u662fK. Schweizer\u3002\u5177\u4f53\u5230\u5e94\u529b\u5f20\u91cf\u6216\u7c98\u5ea6\u7684\u7406\u8bba\u63a8\u5bfc\u95ee\u9898\uff0c\u5728\u975e\u5e73\u8861\u7edf\u8ba1\u529b\u5b66\u4e2d\uff0c\u76ee\u524d\u53ea\u6709\u9884\u6d4b\u7ebf\u6027\u8f93\u8fd0\u65b9\u7a0b\u7684\u7406\u8bba\u2014\u2014\u7ebf\u6027\u54cd\u5e94\u7406\u8bba\u2014\u2014\u662f\u6bd4\u8f83\u6210\u719f\u7684\u3002\u81f3\u4e8e\u975e\u7ebf\u6027\u7406\u8bba\u7684\u8ba8\u8bba\uff0c\u53ef\u89c1Evans & Morriss\u8457\u4f5c\u7684\u76f8\u5173\u7ae0\u8282\u3002","rel":"","context":"In "\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0"","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":6981,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/6981","url_meta":{"origin":5225,"position":3},"title":"\u975e\u9ad8\u65af\u7cfb\u6570\u7b26\u53f7\u4e3a\u4ec0\u4e48\u6709\u4e2a\u4e0b\u68072\uff1f","author":"Andrew","date":"2016\u5e743\u670831\u65e5","format":"aside","excerpt":"[latexpage] \u5728\u7528\u7c92\u5b50\u793a\u8e2a\uff08particle tracking)\u65b9\u6cd5\u7814\u7a76\u8f6f\u7269\u8d28\u7684\u8bba\u6587\u4e2d\u7ecf\u5e38\u7528van Hove\u51fd\u6570\u7684\u975e\u9ad8\u65af\u6027\u6765\u8868\u5f81\u4f53\u7cfb\u7684\u52a8\u6001\u4e0d\u5747\u5300\u6027\u3002\u5f80\u5f80\u8fd8\u6709\u4e00\u4e2a\u201c\u975e\u9ad8\u65af\u53c2\u6570\u201d\u6765\u8868\u5f81\u5b9e\u9a8c\u7ed3\u679c\u504f\u79bb\u9ad8\u65af\u5206\u5e03\u7684\u7a0b\u5ea6\uff0c\u5e38\u5e38\u7528$\\alpha_2$\u6765\u8868\u793a\u3002\u5b83\u5176\u5b9e\u662f\u7531\u5cf0\u5ea6\uff08kurtosis\uff09\u5b9a\u4e49\u7684\uff0c\u628a\u5b9e\u9a8c\u5206\u5e03\u7684\u5cf0\u5ea6\u62ff\u9ad8\u65af\u5206\u5e03\u7684\u5cf0\u5ea6\u4e00\u76f8\u9664\uff0c\u518d\u51cf1\uff0c\u4f7f\u5f97\u4e00\u4e2a\u9ad8\u65af\u5206\u5e03\u7684$\\alpha_2$\u7684\u503c\u4e3a0\uff0c\u975e\u96f6\u7684$\\alpha_2$\u5c31\u6807\u5fd7\u7740\u975e\u9ad8\u65af\u7684\u5206\u5e03\u3002 \\begin{equation}\\label{eq:1} \\alpha_2=\\frac{3\\langle\\Delta x^4\\rangle}{5\\langle\\Delta x^2\\rangle^2}-1 \\end{equation} \u65e2\u7136\u662f\u8fd9\u6837\u7684\u8bdd\uff0c\u4e3a\u4ec0\u4e48\u4e0d\u76f4\u63a5\u7528\u4e00\u4e2a\u7b80\u5355\u7684\u5b57\u6bcd\u6765\u8868\u793a\uff0c\u800c\u662f\u8981\u7528\u4e00\u4e2a\u5e26\u6709\u6570\u5b57\u4e0b\u68072\u7684\u7b26\u53f7\u5462\uff1f\u96be\u9053\u8fd8\u6709$\\alpha_1$\u3001$\\alpha_3$\uff1f\u6211\u4e00\u76f4\u6709\u8fd9\u4e2a\u7591\u95ee\uff0c\u4eca\u5929\u6211\u8003\u7a76\u4e86\u4e00\u4e0b\u3002\u5176\u5b9e\uff0c\u4f7f\u7528$\\alpha_2$\u6765\u8868\u793a\u8fd9\u4e2a\u91cf\uff0c\u6700\u65e9\u662f\u51fa\u4e8eA. Rahman\u7684\u5de5\u4f5c\u3002\u4f5c\u8005\u63a8\u5bfc\u4e86\u6db2\u4f53\u7684\u65f6\u95f4\u4f9d\u8d56\u76f8\u5173\u51fd\u6570\u7684\u5c55\u5f00\u5f0f\u3002\u7b2c\u4e00\u9879\u5f53\u7136\u662f\u7eaf\u5e03\u6717\u8fd0\u52a8\u7684\u9ad8\u65af\u9879\uff0c\u7b2c\u4e8c\u9879\u5f00\u59cb\u7684\u9ad8\u9636\u9879\u90fd\u662f\u975e\u9ad8\u65af\u9879\uff0c\u5176\u4e2d\u5404\u7684\u7cfb\u6570\u53ef\u4ee5\u7528$\\alpha_n$\u6765\u8868\u793a\uff0c\u5176\u901a\u5f0f\u662f \\begin{equation}\\label{eq:2} \\alpha_n=\\frac{\\langle r^{2n}\\rangle}{C_n\\langle r^2\\rangle^n}-1 \\end{equation} \u5176\u4e2d$C_n=1\\cdot3\\cdot5\\cdots\\left(2n+1\\right)\/3^n$\u3002\u56e0\u6b64$\\alpha_2$\u6070\u597d\u5c31\u662f\u5f0f(\\ref{eq:1})\u3002\u6216\u8005\u8bf4\uff0c\u901a\u8fc7\u5c55\u5f00\u5f97\u5230\u7684\u7b2c\u4e8c\u9879\u7cfb\u6570\uff0c\u6070\u597d\u5c31\u662f\u4e00\u4e2a\u8ddf\u5cf0\u5ea6\u6709\u5173\u7684\u91cf\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c$\\alpha_2$\u5176\u5b9e\u662f\u65f6\u95f4\u76f8\u5173\u51fd\u6570\u5c55\u5f00\u5f0f\u7684\u7b2c2\u9879\uff0c\u6240\u4ee5\u4e0b\u6807\u6709\u4e2a2\u3002\u81ea\u6587\u732e\u540e\uff0c$\\alpha_2$\u5f88\u5feb\u88ab\u91c7\u7528\u4e3a\u201c\u975e\u9ad8\u65af\u7cfb\u6570\u201d\u7528\u6765\u63cf\u8ff0\u6db2\u4f53\u6027\u8d28\uff0c\u6210\u4e3a\u6db2\u4f53\u7406\u8bba\u4e2d\u7684\u4e00\u4e2a\u91cd\u8981\u53c2\u6570\u3002\u540e\u6765\u80f6\u4f53\u7269\u7406\u7684\u5174\u8d77\uff0c\u7531\u4e8e\u5176\u7406\u8bba\u57fa\u7840\u57fa\u672c\u4e0a\u662f\u6db2\u4f53\u7269\u7406\uff0c\u6240\u4ee5\u5f88\u81ea\u7136\u5c31\u7528\u4e86\u76f8\u4f3c\u7684\u8ba8\u8bba\u8303\u5f0f\uff0c\u4f7f\u7528$\\alpha_2$\u8fd9\u4e2a\u7b26\u53f7\u3002\u518d\u4e00\u6b21\u8bf4\u660e\uff0c\u8981\u60f3\u505a\u597d\u80f6\u4f53\u7269\u7406\u7684\u7814\u7a76\uff0c\u5f88\u5e94\u8be5\u5e94\u8be5\u4ece\u6db2\u4f53\u7269\u7406\u5f00\u59cb\u8865\u4e60\u3002\u4e8b\u5b9e\u4e0a\uff0c\u6587\u732e\u662f\u6700\u65e9\u7528\u8ba1\u7b97\u673a\u6765\u8ba1\u7b97\u6db2\u4f53\u7684\u76f8\u5173\u51fd\u6570\u7684\u5de5\u4f5c\u3002\u4f5c\u8005Aneesur Rahman\u662f\u201c\u5206\u5b50\u52a8\u529b\u5b66\u4e4b\u7236\u201d\u3002\u5728\u6709\u8ba1\u7b97\u673a\u4e4b\u524d\uff0c\u76f8\u5173\u51fd\u6570\u53ea\u6709\u7406\u60f3\u6c14\u4f53\u548c\u683c\u5b50\u6676\u4f53\u624d\u80fd\u8ba1\u7b97\uff0c\u6db2\u4f53\u7684\u76f8\u5173\u51fd\u6570\u7531\u4e8e\u591a\u4f53\u6548\u5e94\u800c\u96be\u4ee5\u8ba1\u7b97\u3002Aneesur Rahman\u5728\u5f53\u65f6\u7684CDC 3600\u8d85\u7ea7\u8ba1\u7b97\u673a\u4e0a\u8ba1\u7b97\u4e86864\u4e2aLennard-Jones\u4f5c\u7528\u52bf\u7684\u539f\u5b50\uff0c\u6a21\u62df\u6db2\u6c29\u3002","rel":"","context":"In "\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0"","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":6221,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/6221","url_meta":{"origin":5225,"position":4},"title":"J. Chem. Educ.\u4e0a\u7684\u6d41\u53d8\u5b66","author":"Andrew","date":"2015\u5e741\u670828\u65e5","format":"aside","excerpt":"\u6211\u4e00\u76f4\u90fd\u8ba2\u9605ACS\u7684J. Chem. Educ.\u671f\u520a\uff0c\u53d1\u73b0\u6700\u8fd1\u5bc6\u96c6\u51fa\u73b0\u4e86\u51e0\u7bc7\u5173\u4e8e\u6d41\u53d8\u5b66\u7684\u6587\u7ae0\uff0c\u8fd9\u5c31\u8ba9\u6211\u60f3\u8d77\u53bb\u627e\u627eJ. Chem. Educ.\u4ece\u521b\u520a\u4ee5\u6765\u5173\u4e8e\u6d41\u53d8\u5b66\u7684\u6587\u7ae0\u90fd\u6709\u54ea\u4e9b\u3002 \u7528rheology\u4e3a\u5173\u952e\u8bcd\uff0c\u641c\u51fa\u6765\u7684\u7ed3\u679c\u5176\u5b9e\u5e76\u4e0d\u591a\uff0c\u4f46\u662f\u91cc\u9762\u4e5f\u6709\u5f88\u591a\u6709\u610f\u601d\u7684\u4e1c\u897f\u3002\u6211\u6311\u9009\u4e86\u4e00\u4e9b\u51fa\u6765\u3002 1929\u5e74\u6b63\u662f\u7f8e\u56fd\u6d41\u53d8\u5b66\u4f1a\u6210\u7acb\u7684\u90a3\u5e74\uff0cBingham\u5728J. Chem. Educ.\u53d1\u8868\u4e86\u4e24\u7bc7\u6587\u7ae0\u6765\u4ecb\u7ecd\u8fd9\u4e2a\u65b0\u7684\u5b66\u79d1\u3002\u4ed6\u4e3b\u8981\u5f3a\u8c03\u4e86\u9664\u4e86\u5c42\u6d41\u548c\u6e4d\u6d41\u4e4b\u5916\u8fd8\u6709\u201c\u7b2c\u4e09\u79cd\u6d41\u201d\u5c31\u662f\u5c48\u670d\u548c\u5851\u6027\u6d41\u52a8\u3002\u4ed6\u5176\u5b9e\u4e5f\u5f3a\u8c03\u4e86\u8fd9\u79cd\u6d41\u52a8\u6027\u8d28\u662f\u80f6\u4f53\u7269\u8d28\u7684\u7279\u5f81\u3002\u6bd5\u7adf\uff0c\u5bbe\u6c49\u6d41\u4f53\u662f\u4ee5\u4ed6\u540d\u5b57\u547d\u540d\u7684\u30021930\u5e74\uff0cJ. Chem. Educ.\u62a5\u9053\u4e86\u6d41\u53d8\u5b66\u4f1a\u5728\u7f8e\u56fd\u56fd\u5bb6\u6807\u51c6\u5c40\u53ec\u5f00\u7684\u6d88\u606f\uff0c\u5217\u51fa\u4e86\u90e8\u5206\u4f1a\u8bae\u8bba\u6587\u53ca\u4f5c\u8005\uff0c\u5176\u4e2d\u6709Bingham\u3001Reiner\u548cScott-Blair\u8fd9\u51e0\u4e2a\u8457\u540d\u7684\u7b2c\u4e00\u4ee3\u6d41\u53d8\u5b66\u5bb6\u3002\u5176\u4e2dReiner\u6f14\u8bb2\u9898\u76ee\u7adf\u7136\u53eb\u505aThe General Equation of Flow!\uff08\u539f\u6807\u9898\u5c31\u542b\u611f\u53f9\u53f7\uff09\uff0c\u8ba9\u6211\u5f88\u597d\u5947\u6f14\u8bb2\u7684\u5185\u5bb9\u662f\u600e\u4e48\u6837\u7684\u3002 \u65f6\u95f4\u4e00\u4e0b\u5b50\u8df3\u5230\u4e8660\u5e74\u4ee3\uff0cFerry\u5728J. Chem. Educ.\u4e0a\u4ecb\u7ecd\u6d41\u53d8\u5b66\uff0c\u4e3b\u8981\u5173\u6ce8\u70b9\u5c31\u662f\u9ad8\u5206\u5b50\u6d41\u53d8\u5b66\u4e86\u3002\u4ed6\u5b9e\u8d28\u4e0a\u4ecb\u7ecd\u4e86\u7c98\u5f39\u6027\u7684\u6982\u5ff5\uff0c\u4f46\u8bed\u8a00\u4e0a\u662f\u8bf4\u201c\u6d41\u4f53\u4e5f\u80fd\u50a8\u5b58\u80fd\u91cf\u201d\uff0c\u539f\u56e0\u5c31\u662f\u201c\u5206\u5b50\u94fe\u88ab\u63a5\u4f38\u201d\u3002\u6587\u7ae0\u4e0d\u53ef\u907f\u514d\u5730\u4e5f\u89e3\u91ca\u4e86\u4e00\u4e9b\u201c\u71b5\u5f39\u6027\u201d\u6982\u5ff5\u3002\u6700\u540e\u4ecb\u7ecd\u4e86\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u677e\u5f1b\u8c31\u3002 Weissenberg\u6548\u5e94\u662f1940\u5e74\u4ee3\u53d1\u73b0\u7684\u3002\u4f46\u662f\u5176\u539f\u56e0\u4e00\u76f4\u523060\u5e74\u4ee3\u8fd8\u4e0d\u662f\u5f88\u6e05\u695a\uff0c\u8fd8\u5904\u4e8e\u53d1\u73b0\u54ea\u4e9b\u7269\u8d28\u4f1a\u6709\u8fd9\u4e2a\u6548\u5e94\u7684\u9636\u6bb5\u30021961\u5e74Nature\u4e0a\u7684\u4e00\u7bc7\u6587\u7ae0\uff0c\u5176\u5185\u5bb9\u5c31\u662f\u53d1\u73b0\u86cb\u767d\u6709Weissenberg\u6548\u5e94\u3002\u5728J. Chem. Educ.\u4e0a\u4e5f\u6709\u4e00\u7bc7\u6587\u7ae0\uff0c\u8bf4\u660e\u80f6\u53ef\u4ee5\u4f5c\u4e3a\u6f14\u793aWeissenberg\u6548\u5e94\u7684\u65b9\u4fbf\u7684\u6750\u6599\u3002 \u6d41\u53d8\u5b66\u6b63\u5f0f\u63d0\u51fa\u662f1920\u5e74\u3002\u8fd9\u521a\u597d\u4e5f\u662fStaudinger\u53d1\u8868\u300a\u8bba\u805a\u5408\u300b\u7684\u90a3\u5e74\uff0c\u9ad8\u5206\u5b50\u6982\u5ff5\u8fd8\u6ca1\u6709\u88ab\u5e7f\u6cdb\u63a5\u53d7\u3002\u6240\u4ee5\uff0c\u5f15\u8d77\u5b66\u8005\u5173\u6ce8\u590d\u6742\u6d41\u4f53\u7684\u6d41\u53d8\u73b0\u8c61\u7684\uff0c\u90fd\u662f\u80f6\u4f53\u4f53\u7cfb\u6837\u54c1\uff08\u6216\u8005\u8bf4\u5728\u5f53\u65f6\u90fd\u53eb\u80f6\u4f53\uff09\u3002\u4e8b\u5b9e\u4e0a\uff0c\u5173\u4e8e\u7c98\u5f39\u6027\uff08\u5f53\u53ebelastic aftereffect\uff09\u3001\u7c98\u5ea6\u7684\u526a\u5207\u901f\u7387\u4f9d\u8d56\u6027\uff0c\u4eba\u4eec\u57281920\u5e74\u4ee5\u524d\u5df2\u7ecf\u8ba4\u8bc6\u5f97\u6bd4\u597d\u4e86\uff08\u4ee5Maxwell\u7528\u5fae\u5206\u65b9\u7a0b\u7684\u5f62\u5f0f\u63cf\u8ff0\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u666e\u904d\u5f62\u5f0f\u4e3a\u6807\u5fd7\uff09\u3002\u8fd9\u4e9b\u7814\u7a76\u4ee5\u864e\u514b\u548c\u725b\u987f\u4e3a\u6e90\u5934\uff0c\u7ecf\u8fc7\u6cca\u8083\u53f6\u3001\u67ef\u897f\u3001Maxwell\u548cBoltzmann\u7b49\u4eba\u8fdb\u5165\u5230\u4e8c\u5341\u4e16\u7eaa\uff0c\u672c\u6765\u5c31\u5df2\u7ecf\u5c5e\u4e8e\u6d41\u4f53\u529b\u5b66\u6216\u8005\u8fde\u7eed\u4f53\u529b\u5b66\u7684\u7814\u7a76\u8303\u56f4\u3002Reiner\u5728\u542c\u8bf4Bingham\u8981\u63d0\u51fa\u6d41\u53d8\u5b66\u4f5c\u4e3a\u4e00\u4e2a\u65b0\u7684\u5b66\u79d1\u65f6\u4e5f\u662f\u8fd9\u4e48\u56de\u590d\u7684\u3002\u4e8b\u5b9e\u4e0a\uff0c\u8fd9\u4e00\u7ebf\u7684\u7814\u7a76\u540e\u7eed\u8fd8\u6709Rivlin\u3001Oldroyd\u3001Noll\u3001Truesdell\u7b49\u4eba\u6cbf\u7740\u4f53\u529b\u5b66\u548c\u7406\u6027\u529b\u5b66\u7684\u8def\u5b50\u8d70\u4e0b\u53bb\uff0c\u53ea\u662f\u540e\u6765\u6d41\u53d8\u5b66\u771f\u7684\u5f62\u6210\u4e00\u4e2a\u5b66\u79d1\u4e4b\u540e\u628a\u4ed6\u4eec\u7684\u4e00\u4e9b\u5de5\u4f5c\u7eb3\u5165\u5230\u4e86\u81ea\u5df1\u5b66\u79d1\u7684\u7406\u8bba\u57fa\u7840\u800c\u5df2\u3002\u53ef\u4ee5\u8bf4\uff0c\u8fd9\u4e00\u7ebf\u7814\u7a76\u786e\u5b9e\u4e0d\u9700\u8981\u53e6\u5916\u518d\u8bbe\u7acb\u4e00\u4e2a\u5b66\u79d1\u3002\u6240\u4ee5Bingham\u5728J. Chem. Educ.\u4e0a\u7684\u6587\u7ae0\uff0c\u4e3a\u4e86\u786e\u7acb\u6d41\u53d8\u5b66\u8fd9\u4e00\u5b66\u79d1\uff0c\u660e\u786e\u5730\u6307\u51fa\u5927\u5bb6\u6240\u5ffd\u89c6\u7684\u6d41\u52a8\u662f\u5851\u6027\u6d41\u52a8\uff0c\u5373\u8ddf\u5f53\u65f6\u5173\u4e8e\u7c98\u5f39\u6027\u7684\u8fde\u7eed\u4ecb\u8d28\u672c\u6784\u65b9\u7a0b\u7814\u7a76\u65e0\u5173\u7684\u3001\u90a3\u79cd\u5177\u6709\u5c48\u670d\u5e94\u529b\u7684\u7ed3\u6784\u6d41\u4f53\u7684\u6d41\u52a8\uff08\u5728Bingham\u7684\u6587\u7ae0\u4e2d\u7684\u4f8b\u5b50\u662f\u4e00\u4e2a\u4e73\u6db2\u6837\u54c1\uff09\u3002\u4ed6\u8bf4\uff1a The hydraulicians were not aware that there is more than the one type of flow, and the type with which they were occupied did not\u2026","rel":"","context":"In "\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0"","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":9338,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/9338","url_meta":{"origin":5225,"position":5},"title":"\u201c\u6ce8\uff1a\u516c\u5f0f(x)\u662f\u5728\u5fb7\u56fd\u9152\u5427\u91cc\u63a8\u51fa\u6765\u7684\uff0c\u65c5\u8d39\u662fNSF\u8d44\u52a9\u7684\u3002\u201d","author":"Andrew","date":"2025\u5e7412\u670823\u65e5","format":"aside","excerpt":"Stockmayer, W.H. and Fixman, M. (1963), On the estimation of unperturbed dimensions from intrinsic viscositiesxcin\u2020. J. polym. sci., C Polym. symp., 1: 137-141. https:\/\/doi.org\/10.1002\/polc.5070010109 \u5728\u6c42\u9ad8\u5206\u5b50\u5728\u6eb6\u6db2\u4e2d\u7684\u65e0\u6270\u5c3a\u5bf8\u8fd9\u4ef6\u4e8b\u4e2d\uff0c\u6709\u4e00\u4e2a\u6d41\u884c\u4e00\u65f6\u7684\u65b9\u6cd5\u53ebBurchard--Stockmayer--Fixman\u4f5c\u56fe\u6cd5\u3002\u8fd9\u4e2a\u8054\u540d\u4e3b\u8981\u5f15\u81ea\u4e24\u7bc7\u8bba\u6587\uff1aBurchard\u7684\u8bba\u6587\u3001Stockmayer\u548cFixman\u7684\u8bba\u6587\u3002\u4e0a\u56fe\u662fStockmayer\u548cFixman\u8bba\u6587\u7684\u9e23\u8c22\u3002\u4e3a\u4ec0\u4e48\u5728\u611f\u8c22\u5b8c\u56fd\u5bb6\u81ea\u7136\u79d1\u5b66\u57fa\u91d1\u7684\u8d44\u52a9\u540e\uff0c\u9700\u8981\u518d\u8868\u793a\u516c\u5f0f(10)\u4e0d\u662f\u5728\u4e00\u5bb6\u5fb7\u56fd\u9152\u5427\uff08a Rathskeller\uff09\u91cc\u63a8\u51fa\u6765\u7684\u5462\uff1f \u6587\u732e20\u662f\u4e00\u7bc7\u4e3b\u9898\u5b8c\u5168\u4e0d\u76f8\u5173\u7684\u8bba\u6587\uff0c\u53ea\u6709\u9e23\u8c22\u7684\u8fd9\u6bb5\u9996\u51fa\u4e86\u7384\u673a\uff1a J. Phys. Chem. 1962, 66, 6, 1058\u20131063 \u6211\u4e5f\u6709\u597d\u4e9b\u516c\u5f0f\u662f\u5728\u6211\u697c\u4e0b\u7684\u661f\u5df4\u514b\u91cc\u63a8\u51fa\u6765\u7684\u3002","rel":"","context":"In "\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0"","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\/2025\/12\/image-1.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2025\/12\/image-1.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2025\/12\/image-1.png?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2025\/12\/image-1.png?resize=700%2C400&ssl=1 2x"},"classes":[]}],"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/posts\/5225","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=5225"}],"version-history":[{"count":9,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/posts\/5225\/revisions"}],"predecessor-version":[{"id":5234,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/posts\/5225\/revisions\/5234"}],"wp:attachment":[{"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/media?parent=5225"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/categories?post=5225"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/tags?post=5225"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}