{"id":7424,"date":"2017-04-23T03:04:52","date_gmt":"2017-04-22T19:04:52","guid":{"rendered":"http:\/\/www.andrewsun.net\/panta_rhei\/?p=7424"},"modified":"2017-09-18T13:11:34","modified_gmt":"2017-09-18T05:11:34","slug":"debye%e7%9a%8475%e5%b2%81%e7%94%9f%e6%97%a5%e4%b8%93%e5%88%8a","status":"publish","type":"post","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/7424","title":{"rendered":"Debye\u768475\u5c81\u751f\u65e5\u4e13\u520a"},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"7424\">\n<p>\u6700\u8fd1\u5728\u641c\u7d22\u5c0f\u89d2\u5149\u6563\u5c04\u7684\u4e00\u4e9b\u8bba\u6587\uff0c\u78b0\u4e0a\u4e86Debye\u768475\u5c81\u751f\u65e5\u4e13\u520a\uff0c\u662f<a href=\"http:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/pol.12.v36:130\/issuetoc\" target=\"_blank\">Journal of Polymer Science 1959, Vol. 36, Iss. 130<\/a>\u3002Debye\u7684\u4e3b\u8981\u5de5\u4f5c\u4e4b\u4e00\u662f\u7269\u8d28\u7684\u7ed3\u6784\u4e0e\u5149\u6563\u5c04\u7684\u5173\u7cfb\u7406\u8bba\uff0c\u4f7f\u5f97\u5149\u6563\u5c04\u6210\u4e3a\u4e86\u5305\u62ec\u9ad8\u5206\u5b50\u7269\u7406\u5728\u5185\u7684\u51dd\u805a\u6001\u7269\u7406\u7684\u91cd\u8981\u7814\u7a76\u65b9\u6cd5\u3002\u8fd9\u4e2a\u4e13\u520a\u7684\u5f00\u7bc7\u6587\u7ae0\u4e5f\u4e3b\u8981\u662f\u8bb2\u8fd9\u4e2a\u3002\u4f46\u662f\u6211\u987a\u4fbf\u4e0aWikipedia\u67e5\u4e86\u4e00\u4e0bDebye\u7684\u4ecb\u7ecd\uff0c\u624d\u53d1\u73b0\u4ed6\u66fe\u5377\u5165\u7eb3\u7cb9\u7684\u4e11\u95fb\u3002\u5173\u4e8e\u8fd9\u4e9b\u4e8b\u60c5\u51e0\u4e4e\u5360\u53bb\u4e86Debye\u8fd9\u4e00\u8bcd\u6761\u7684\u5927\u534a\u7bc7\u5e45\u3002<\/p>\n<p>\u4e5f\u5c31\u662f\u5728\u4e86\u89e3\u8fd9\u6bb5\u98ce\u6ce2\u7684\u65f6\u5019\uff0c\u6211\u624d\u77e5\u9053\u539f\u6765\u5728Debye\u51fa\u751f\u7684\u57ce\u5e02\u6709\u4ee5\u4ed6\u547d\u540d\u7684\u9053\u8def\u548c\u5e7f\u573a\u3002\u5176\u4e2d\u7279\u522b\u6709\u610f\u601d\u7684\u662fDebye\u7684\u7eaa\u5ff5\u7891\uff0c\u540d\u5b57\u53eb\u201cdipole moment\u201d\uff08\u5076\u6781\u77e9\uff0cDebye\u7684\u7814\u7a76\u5de5\u4f5c\u4e4b\u4e00\uff09\uff0c\u662f\u957f\u8fd9\u4e2a\u6837\u7684\uff1a<\/p>\n<p><a title=\"By Kleon3 (Own work) [CC BY-SA 4.0 (http:\/\/creativecommons.org\/licenses\/by-sa\/4.0)], via Wikimedia Commons\" href=\"https:\/\/commons.wikimedia.org\/wiki\/File%3AMaastricht-Randwyck%2C_monument_P_Debye.jpg\"><img decoding=\"async\" width=\"512\" alt=\"Maastricht-Randwyck, monument P Debye\" src=\"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/e\/e2\/Maastricht-Randwyck%2C_monument_P_Debye.jpg\/512px-Maastricht-Randwyck%2C_monument_P_Debye.jpg\"\/><\/a><\/p>\n<p>\u5982\u679c\u5c06\u6765\u6709\u673a\u4f1a\u53bb\u8377\u5170\u5f00\u4f1a\uff0c\u4e00\u5b9a\u8981\u5230\u8fd9\u91cc\u7559\u4e2a\u5f71\u3002<\/p>\n<p>\u6253\u5b8c\u4e0a\u9762\u7684\u6587\u5b57\uff0c\u7ee7\u7eed\u5de5\u4f5c\uff0c\u6ca1\u60f3\u5230\u53c8\u78b0\u5230Debye\u4e86\u3002\u60f3\u60f3\u5176\u5b9e\u4e5f\u6b63\u5e38\uff0c\u641c\u5149\u6563\u5c04\u7684\u5386\u53f2\u6587\u732e\uff0c\u78b0\u4e0d\u4e0aDebye\u8fd9\u4e2a\u540d\u5b57\u624d\u53eb\u4e0d\u6b63\u5e38\u3002\u7f8e\u56fd\u5316\u5b66\u4f1a1965\u5728\u5e95\u7279\u5f8b\u5f00\u7684\u4e00\u6b21\u5c0f\u89d2\u6563\u5c04\u4f1a\u8bae\uff0c\u6587\u96c6\u53d1\u5728ACS Polymer Preprints, Volume 6, No. 1 (1965)\u3002\u53c8\u5728<a href=\"http:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/polc.v13:1\/issuetoc\" target=\"_blank\">Polymer Symposia Volume 13, Issue 1<\/a>\u4e0a\u520a\u767b\u4e86\u76f8\u5173\u5de5\u4f5c\u7684\u6269\u5c55\u7248\uff0cDebye\u64b0\u5199\u4e86Foreword\uff0cMarchessaults\u64b0\u5199\u4e86Preface\uff08\u8fd9\u4e24\u8005\u6709\u4ec0\u4e48\u533a\u522b\uff1f\u90fd\u53eb\u201c\u524d\u8a00\u201d\uff09\u3002<\/p>\n<!-- kcite active, but no citations found -->\n<\/div> <!-- kcite-section 7424 -->","protected":false},"excerpt":{"rendered":"<p>\u6700\u8fd1\u5728\u641c\u7d22\u5c0f\u89d2\u5149\u6563\u5c04\u7684\u4e00\u4e9b\u8bba\u6587\uff0c\u78b0\u4e0a\u4e86Debye\u768475\u5c81\u751f\u65e5\u4e13\u520a\uff0c\u662fJournal of Polymer Science 1959, Vol. 36, Iss. 130\u3002Debye\u7684\u4e3b\u8981\u5de5\u4f5c\u4e4b\u4e00\u662f\u7269\u8d28\u7684\u7ed3\u6784\u4e0e\u5149\u6563\u5c04\u7684\u5173\u7cfb\u7406\u8bba\uff0c\u4f7f\u5f97\u5149\u6563\u5c04\u6210\u4e3a\u4e86\u5305\u62ec\u9ad8\u5206\u5b50\u7269\u7406\u5728\u5185\u7684\u51dd\u805a\u6001\u7269\u7406\u7684\u91cd\u8981\u7814\u7a76\u65b9\u6cd5\u3002\u8fd9\u4e2a\u4e13\u520a\u7684\u5f00\u7bc7\u6587\u7ae0\u4e5f\u4e3b\u8981\u662f\u8bb2\u8fd9\u4e2a\u3002\u4f46\u662f\u6211\u987a\u4fbf\u4e0aWikipedia\u67e5\u4e86\u4e00\u4e0bDebye\u7684\u4ecb\u7ecd\uff0c\u624d\u53d1\u73b0\u4ed6\u66fe\u5377\u5165\u7eb3\u7cb9\u7684\u4e11\u95fb\u3002\u5173\u4e8e\u8fd9\u4e9b\u4e8b\u60c5\u51e0\u4e4e\u5360\u53bb\u4e86Debye\u8fd9\u4e00\u8bcd\u6761\u7684\u5927\u534a\u7bc7\u5e45\u3002 \u4e5f\u5c31\u662f\u5728\u4e86\u89e3\u8fd9\u6bb5\u98ce\u6ce2\u7684\u65f6\u5019\uff0c\u6211\u624d\u77e5\u9053\u539f\u6765\u5728Debye\u51fa\u751f\u7684\u57ce\u5e02\u6709\u4ee5\u4ed6\u547d\u540d\u7684\u9053\u8def\u548c\u5e7f\u573a\u3002\u5176\u4e2d\u7279\u522b\u6709\u610f\u601d\u7684\u662fDebye\u7684\u7eaa\u5ff5\u7891\uff0c\u540d\u5b57\u53eb\u201cdipole moment\u201d\uff08\u5076\u6781\u77e9\uff0cDebye\u7684\u7814\u7a76\u5de5\u4f5c\u4e4b\u4e00\uff09\uff0c\u662f\u957f\u8fd9\u4e2a\u6837\u7684\uff1a \u5982\u679c\u5c06\u6765\u6709\u673a\u4f1a\u53bb\u8377\u5170\u5f00\u4f1a\uff0c\u4e00\u5b9a\u8981\u5230\u8fd9\u91cc\u7559\u4e2a\u5f71\u3002 \u6253\u5b8c\u4e0a\u9762\u7684\u6587\u5b57\uff0c\u7ee7\u7eed\u5de5\u4f5c\uff0c\u6ca1\u60f3\u5230\u53c8\u78b0\u5230Debye\u4e86\u3002\u60f3\u60f3\u5176\u5b9e\u4e5f\u6b63\u5e38\uff0c\u641c\u5149\u6563\u5c04\u7684\u5386\u53f2\u6587\u732e\uff0c\u78b0\u4e0d\u4e0aDebye\u8fd9\u4e2a\u540d\u5b57\u624d\u53eb\u4e0d\u6b63\u5e38\u3002\u7f8e\u56fd\u5316\u5b66\u4f1a1965\u5728\u5e95\u7279\u5f8b\u5f00\u7684\u4e00\u6b21\u5c0f\u89d2\u6563\u5c04\u4f1a\u8bae\uff0c\u6587\u96c6\u53d1\u5728ACS Polymer Preprints, Volume 6, No. 1 (1965)\u3002\u53c8\u5728Polymer Symposia Volume 13, Issue 1\u4e0a\u520a\u767b\u4e86\u76f8\u5173\u5de5\u4f5c\u7684\u6269\u5c55\u7248\uff0cDebye\u64b0\u5199\u4e86Foreword\uff0cMarchessaults\u64b0\u5199\u4e86Preface\uff08\u8fd9\u4e24\u8005\u6709\u4ec0\u4e48\u533a\u522b\uff1f\u90fd\u53eb\u201c\u524d\u8a00\u201d\uff09\u3002<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[212],"tags":[137],"class_list":["post-7424","post","type-post","status-publish","format-standard","hentry","category-tagged","tag-people"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1aPvF-1VK","jetpack-related-posts":[{"id":4846,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/4846","url_meta":{"origin":7424,"position":0},"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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\u6700\u540e\u91cd\u65b0\u5f3a\u8c03\u4e00\u6b21\u6982\u5ff5\u6027\u7684\u95ee\u9898\uff0c\u7531\u4e8e\u662f\u201c\u4e0d\u53ef\u9006\u805a\u96c6\u201d\u5f62\u6210\u7684\u51dd\u80f6\uff08\u5316\u5b66\u51dd\u80f6\uff09\uff0c\u6240\u4ee5\u51dd\u80f6\u5316\u4e4b\u540e\u5c31\u52a8\u4e0d\u4e86\u4e86\uff0c\u4e0d\u5b58\u5728\u6709\u9650\u677e\u5f1b\u65f6\u95f4\uff0c\u8fd9\u8ddf\u5b9e\u9645\u7684\u7269\u7406\u51dd\u80f6\u4e0d\u540c\u3002\u6211\u4eec\u90fd\u77e5\u9053\uff0c\u5b9e\u9645\u4e0a\u7684\u80f6\u4f53\u51dd\u80f6\u90fd\u662f\u7269\u7406\u51dd\u80f6\uff0c\u51dd\u80f6\u5316\u70b9\u540e\u53ef\u4ee5\u8c08\u8bba\u201c\u4e00\u4e2a\u5f88\u5927\u7684\u677e\u5f1b\u65f6\u95f4\u201d\u3002\u4f46\u662f\uff0c\u5047\u5982\u4f60\u60f3\u4eab\u53d7Smoluchowski\u65b9\u7a0b\u7684\u4fbf\u5229\u53bb\u63cf\u8ff0\u51dd\u80f6\u5316\u70b9\u4e4b\u524d\u7684\u52a8\u529b\u5b66\uff0c\u4f60\u76f8\u5f53\u4e8e\u5426\u5b9a\u4e86\u4f53\u7cfb\u662f\u4e00\u4e2a\u7269\u7406\u51dd\u80f6\uff08\u5bf9\u4e8e\u5438\u5f15\u529b\u8f83\u5f3a\u7684\u201c\u5f3a\u52a8\u529b\u5b66\u4f53\u7cfb\u201d\uff0c\u786e\u5b9e\u4e5f\u5e94\u8be5\u8fd1\u4f3c\u4e8e\u5316\u5b66\u51dd\u80f6\uff09\uff0c\u56e0\u6b64\u4f60\u4e0d\u80fd\u53c8\u8bf4\u51dd\u80f6\u5316\u70b9\u540e\u5b58\u5728\u4e00\u4e2a\u5f88\u5927\u7684\u677e\u5f1b\u65f6\u95f4\uff0c\u81f3\u5c11\u4f60\u8981\u627f\u8ba4\u4f53\u7cfb\u5df2\u7ecf\u7edd\u5bf9\u5730nonergodic\u4e86\u3002\u6240\u4ee5\u6211\u624d\u8981\u501f\u7528Krall\u7684\u7406\u8bba\uff0c\u53e6\u5916\u627e\u4e00\u4e2a\u52a8\u6001\u7ed3\u6784\u6765\u89e3\u91ca\u51dd\u80f6\u5316\u70b9\u540e\u5f97\u5230\u7684\u03c4\u3002","rel":"","context":"In &quot;\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0&quot;","block_context":{"text":"\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/tagged"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":6205,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/6205","url_meta":{"origin":7424,"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 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\u5728\u827a\u672f\u8fd9\u4e2a\u5708\u5b50\u91cc\uff0c\u786e\u5b9e\u6709\u827a\u672f\u5bb6\uff0c\u4f46\u4e5f\u6709\u5546\u4eba\u3002\u5546\u4eba\u7684\u76ee\u6807\u5c31\u662f\u8425\u5229\u3002\u8bda\u7136\uff0c\u5546\u54c1\u5316\u7684\u827a\u672f\u4f5c\u54c1\u603b\u4e0d\u81f3\u4e8e\u827a\u672f\u4ef7\u503c\u4e3a\u96f6\uff0c\u4f46\u5374\u53c8\u7edd\u4e0d\u4f1a\u5546\u4e1a\u4ef7\u503c\u4e3a\u96f6\uff1b\u53cd\u8fc7\u6765\u8bb2\uff0c\u5546\u4e1a\u4ef7\u503c\u4e3a\u96f6\u7684\u827a\u672f\u54c1\uff0c\u827a\u672f\u4ef7\u503c\u5374\u4e0d\u4e00\u5b9a\u4f4e\u3002\u827a\u672f\u4ef7\u503c\u9ad8\u3001\u5546\u4e1a\u4ef7\u503c\u4e3a\u96f6\u7684\u552f\u4e00\u547d\u8fd0\u5c31\u662f\u6d88\u5931\u3002\u6240\u4ee5\uff0c\u81f3\u4eca\u4e3a\u6b62\u6ca1\u6709\u6d88\u5931\u7684\u827a\u672f\u4f5c\u54c1\uff0c\u6ca1\u6709\u4e00\u4ef6\u662f\u8fd9\u6837\u7684\u3002\u7ecf\u5e38\u542c\u5230\u72d7\u4ed4\u961f\u8d28\u95ee\u827a\u4eba\u7c7b\u4f3c\u201c\u60a8\u7684\u65b0\u5531\u7247\u4e00\u6539\u4ee5\u5f80\u7684\u6587\u827a\u98ce\u683c\uff0c\u662f\u5426\u5c5e\u4e8e\u5546\u4e1a\u8003\u8651\u201d\u7684\u95ee\u9898\uff0c\u4e00\u79cd\u5706\u6da6\u7684\u56de\u7b54\u53ef\u4ee5\u662f\u8fd9\u6837\u7684\uff1a\u201c\u6211\u7684\u521b\u4f5c\u6001\u5ea6\u9664\u4e86\u8bda\u5b9e\u8fd8\u662f\u8bda\u5b9e\uff0c\u4f5c\u54c1\u4e00\u5b9a\u4fdd\u8bc1\u8d28\u91cf\uff0c\u662f\u5426\u5546\u4e1a\u5316\u662f\u5426\u5815\u843d\uff0c\u6211\u60f3\u542c\u4f17\u5fc3\u91cc\u4f1a\u6e05\u695a\u3002\u201d\u662f\u7684\uff0c\u90a3\u4e9b\u4ece\u5185\u5fc3\u6df1\u5904\u538c\u6076\u5546\u4e1a\u8fd0\u4f5c\u7684\u3001\u5374\u53c8\u4e0d\u5f97\u4e0d\u9760\u7cbe\u660e\u7684\u7ecf\u7eaa\u4eba\u6323\u4e2a\u4e00\u65e5\u4e09\u9910\u827a\u4eba\u4eec\uff0c\u5fc3\u91cc\u552f\u4e00\u7684\u5b89\u6170\u5c31\u662f\uff0c\u7ec8\u5f52\u8fd8\u662f\u6709\u61c2\u6b23\u8d4f\u7684audience\u2014\u2014\u5373\u90a3\u4e9b\u80fd\u8d8a\u8fc7\u5546\u4e1a\u5e7f\u544a\u6240\u529b\u63a8\u7684\u5356\u70b9\uff0c\u654f\u9510\u5730\u611f\u53d7\u5230\u827a\u672f\u5bb6\u9690\u85cf\u5728\u4f5c\u54c1\u91cc\u7684\u771f\u6b63highlights\u7684\u90a3\u4e9b\u53d7\u4f17\u3002\u5927\u4f17\u9700\u8981\u901a\u8fc7\u5546\u4e1a\u6765\u4e86\u89e3\u827a\u4eba\u548c\u827a\u672f\u4f5c\u54c1\u7684\u5b58\u5728\uff0c\u4f46\u827a\u672f\u5bb6\u548c\u827a\u672f\u5bb6\u4e4b\u95f4\u7684\u7ebd\u5e26\u53ea\u9700\u827a\u672f\u672c\u8eab\u5373\u53ef\u3002\u4f8b\u5982\u674e\u6dfc\u8001\u5e08\u5982\u679c\u51fa\u8bd7\u96c6\uff0c\u51fa\u7248\u793e\u4f1a\u5927\u529b\u6e32\u67d3\u5176\u7406\u8bba\u7269\u7406\u5b66\u5bb6\u8fd9\u4e00\u80cc\u666f\u4f5c\u4e3a\u5356\u70b9\u3002\u4f46\u4ed6\u6bd5\u7adf\u51fa\u7684\u662f\u8bd7\u96c6\u3002\u8bd7\u4eba\u4eec\u4e70\u4ed6\u7684\u8bd7\u96c6\u770b\u7684\u662f\u4ed6\u7684\u8bd7\u3002\u67d0\u4e9b\u79d1\u5b66\u7814\u7a76\u4eba\u5458\u53d1\u5de5\u4f5c\u53d1\u8868\u5728Nature\u3001Science\u3001Cell\u4e0a\uff0c\u300a\u79d1\u5b66\u65f6\u62a5\u300b\u751a\u81f3\u7f51\u6613\u65b0\u95fb\u4f1a\u62a5\u9053\u8be5\u6d88\u606f\u3002\u4f46\u5316\u5b66\u5bb6\u4eec\u770b\u4ed6\u7684\u8bba\u6587\u770b\u7684\u662f\u5316\u5b66\u3001\u7269\u7406\u5b66\u5bb6\u770b\u4ed6\u7684\u8bba\u6587\u770b\u7684\u662f\u7269\u7406\u3002\u53ef\u662f\u597d\u591a\u7814\u7a76\u751f\u5c0f\u670b\u53cb\u770b\u7684\u662fNature\u3001Science\u3002\u5982\u679c\u4f5c\u8005\u662f\u8bfa\u5956\u5f97\u4e3b\uff0c\u90a3\u751a\u81f3\u4ed6\u4eec\u770b\u7684\u5c31\u662f\u8bfa\u5956\u5f97\u4e3b\u3002\u597d\u591a\u6240\u8c13\u201c\u5927\u725b\u201d\u5e76\u4e0d\u907f\u8bb3\u201c\u5ba3\u4f20\u201d\u3002\u6700\u8fd1\u5927\u5bb6\u4e89\u7740\u7eaa\u5ff5\u7684Mandelbrot\u81ea\u5df1\u5c31\u4e0d\u9057\u9014\u529b\u5730\u5ba3\u4f20\u5206\u5f62\u51e0\u4f55\u3002\u5ba2\u89c2\u4e0a\u8bb2\u662f\u4ed6\u81ea\u5df1\u5199\u7684\u4e66The Fractal Geometry of Nature\u628a\u5206\u5f62\u51e0\u4f55\u5e26\u8fdb\u4e86\u5e7f\u6cdb\u7684\u4e3b\u6d41\u5b66\u672f\u5708\u3002\u4e00\u4e2a\u6982\u5ff5\u8981\u706b\uff0c\u4e00\u822c\u9700\u8981\u5341\u5230\u4e8c\u5341\u5e74\u5de6\u53f3\u5dee\u4e0d\u591a\uff08\u4f8b\u5982\u5316\u5b66\u8bfa\u5956Heck\u53cd\u5e94\uff09\u3002\u8fd9\u672c\u4e66\u51fa\u6765\u4e4b\u540e\u5c31\u5dee\u4e0d\u591a\u8fd9\u4e48\u957f\u65f6\u95f4\uff0cMandelbrot\u5728Yale\u62ff\u5230tenure\uff0c\u90fd75\u5c81\u4e86\u3002\u8fd9\u662f\u4ed6\u63a5\u53d7\u6e90\u6e90\u4e0d\u65ad\u7684\u7531\u5206\u5f62\u51e0\u4f55\u5e26\u6765\u7684\u5404\u79cd\u8363\u8000\u7684\u5f00\u7aef\u3002de Gennes\u5199\u7684\u4e66\u66f4\u591a\u3002J. Flory\u4e5f\u5199\u4e66\u3002Heck\u6ca1\u5199\u4e66\uff0c\u4ed6\u5f88\u7531\u4e8e\u62ff\u4e0d\u5230\u7ecf\u8d39\u63d0\u65e9\u9000\u4f11\u53bb\u83f2\u5f8b\u5bbe\u517b\u8001\u53bb\u4e86\u3002\u5f53\u7136\uff0c\u8fd9\u53ea\u662f\u6781\u5404\u522b\u6848\u4f8b\u3002\u5f88\u96be\u7528\u5f88\u4e25\u8c28\u7684\u65b9\u6cd5\u6765\u8bc1\u660e\u5199\u4e66\u5c31\u600e\u6837\u4e0d\u5199\u4e66\u53c8\u600e\u6837\u3002\u4f46\u8fd8\u662f\u591a\u7f57\u55e6\u4e00\u53e5\uff1aH-index\u7b2c\u4e00\u540dG. Whitesides\u6700\u8fd1\u4e5f\u53bbTED\u7ed9talk\uff08\u819c\u62dc\u4e00\u4e0b\u4ed6\u7684\u6f14\u8bb2\u9b45\u529b\u5427\uff09\u3002\u800c\u6700\u65e9\u505a\u79bb\u5b50\u6db2\u4f53\uff08ionic liquids\uff09\u5de5\u4f5c\u7684K. Seddon\u9ed8\u9ed8\u5e72\u4e86\u4e8c\u5341\u5e74\u624d\u53d1\u7b2c\u4e00\u7bc7\u6587\u7ae0\uff08\u4e3a\u4ec0\u4e48\uff09\u3002\u987a\u4fbf\u63d0\u4e00\u4e0b\uff0c\u5173\u4e8e\u5206\u5f62\uff0c\u6211\u66fe\u7ecf\u4f5c\u4e3a\u81ea\u5df1\u535a\u58eb\u8bfe\u9898\u5f00\u9898\u7684\u8d44\u6599\u603b\u7ed3\u4ecb\u7ecd\u8fc7\uff0c\u73b0\u5728\u6211\u4e8b\u5b9e\u4e0a\u4f5c\u7684\u8bfe\u9898\u8ddf\u5206\u5f62\u5173\u7cfb\u5df2\u7ecf\u4e0d\u5927\u4e86\u3002\u5173\u4e8ede Genne\uff0c\u6211\u201c\u7eaa\u5ff5\u201d\u8fc7\u4e24\u6b21\u3002\u5173\u4e8eK. Seddon\uff0c\u6211\u5728\u8c08publish or perish\u95ee\u9898\u65f6\u987a\u5e26\u63d0\u5230\u8fc7\u3002\u5e42\u7387\u3001\u81ea\u76f8\u4f3c\u3001\u5206\u5f62\u848b\u654f\u5f3a\u535a\u58eb\u662f\u7814\u7a76\u65e0\u673a\u6750\u6599\u7684\uff0c\u8ddf\u9ad8\u5206\u5b50\u5dee\u5f88\u8fdc\u3002\u4f46\u662f\u5bf9\u4ed6\u7684\u535a\u5ba2\u91cc\u4ecb\u7ecd\u7684\u5206\u5f62\u73b0\u8c61\u5374\u5f88\u773c\u719f\u3002\u6587\u5b57\u53e3\u53e3\u58f0\u58f0\u5730\u8bf4\u81ea\u76f8\u4f3c\u3001\u5206\u5f62\uff0c\u4f46\u662f\u56fe\u53ea\u662f\u7ed9\u51fa\u4e86\u4e00\u4e2a\u5e42\u7387\u5173\u7cfb\u3002\u4f46\u662f\uff0c\u5bf9\u4e8e\u5927\u4f17\u800c\u8a00\uff0c\u5206\u5f62\u660e\u660e\u662f\u90a3\u4e2a\u201c\u5927\u5c41\u80a1\u201d\u56fe\u6848\uff08Mandelbrot set\uff09\u3002\u4f60\u8ddf\u4eba\u5bb6\u8bf4\u8fd9\u6750\u6599\u91cc\u6709\u5206\u5f62\uff0c\u90a3\u6750\u6599\u91cc\u53c8\u6709\u5206\u5f62\uff0c\u5149\u753b\u4e00\u6761\u76f4\u7ebf\u600e\u4e48\u884c\uff1f\u4eba\u5bb6\u542c\u4e86\u8fd9\u8bdd\u5fc3\u91cc\u4ee5\u4e3a\u4f60\u6750\u6599\u91cc\u6709\u597d\u591a\u5927\u5c41\u80a1\u5462\u3002\u6211\u5f00\u9898\u65f6\u6d89\u53ca\u5230\u7684\u5206\u5f62\u5b58\u5728\u4e8e\u6e17\u6e1d\u95ee\u9898\uff0c\u8bf4\u51dd\u80f6\u5316\u70b9\u5904\u6574\u4e2a\u51dd\u80f6\u4f53\u7cfb\u662f\u4e00\u4e2a\u904d\u5e03\u7684\u81ea\u76f8\u4f3c\u7f51\u7edc\u3002\u4e8e\u662f\u66fe\u7ecf\u6709\u4eba\u95ee\u6211\uff0c\u53bb\u505a\u7535\u955c\u80fd\u4e0d\u80fd\u770b\u5230\u7c7b\u4f3c\u53f6\u8109\u7684\u90a3\u79cd\u81ea\u76f8\u4f3c\u56fe\u6848\uff1f\u8fd9\u5c31\u662f\u827a\u672f\u4e0e\u5546\u4e1a\u7684\u95ee\u9898\u3002\u5927\u4f17\u975e\u8981\u901a\u8fc7\u94fa\u5929\u76d6\u5730\u7684\u5927\u5c41\u80a1\u624d\u8ba4\u8bc6\u5206\u5f62\u662f\u5565\uff0c\u4f46\u771f\u6b63\u7684\u7814\u7a76\u5b9e\u8df5\u4e2d\u5374\u662f\u5728\u627e\u76f4\u7ebf\u3002\u6750\u6599\u5b66\u91cc\u7684\u524d\u6cbf\u6709\u5f88\u5927\u4e00\u5757\u662f\u7814\u7a76\u65e0\u5e8f\u95ee\u9898\uff0c\u65b9\u6cd5\u65e0\u975e\u662f\u4ece\u65e0\u5e8f\u4e2d\u627e\u6709\u5e8f\u3002\u5206\u5f62\u5c31\u662f\u65e0\u5e8f\u4e2d\u80fd\u627e\u5230\u4e00\u79cd\u6709\u5e8f\u3002\u4f46\u4ece\u65e0\u5e8f\u4e2d\u627e\u5230\u7684\u7edd\u4e0d\u4f1a\u662f\u51e0\u4f55\u5206\u5f62\uff0c\u53ea\u4f1a\u662f\u968f\u673a\u5206\u5f62\u2014\u2014\u4e5f\u5c31\u662f\u8bf4\uff0c\u5b83\u7684\u81ea\u76f8\u4f3c\u6027\u4e0d\u662f\u51e0\u4f55\u610f\u4e49\u4e0a\u7684\uff0c\u800c\u662f\u7edf\u8ba1\u610f\u4e49\u4e0a\u7684\u3002\u9664\u4e86\u628a\u5206\u5e03\u51fd\u6570\u5bf9\u5206\u5e03\u6240\u5728\u7a7a\u95f4\u5c3a\u5ea6\u4f5c\u56fe\u80fd\u770b\u5230\u5e42\u7387\u5173\u7cfb\u4e4b\u5916\uff0c\u4f60\u518d\u4e5f\u770b\u4e0d\u5230\u201c\u66f4\u52a0\u5206\u5f62\u201d\u7684\u4e1c\u897f\u4e86\uff0c\u4f8b\u5982\u90a3\u4e2aMandelbrot\u5927\u5c41\u80a1\u3002\u848b\u654f\u5f3a\u535a\u58eb\u7684\u535a\u5ba2\u91cc\u5217\u4e3e\u4e86\u8bb8\u591a\u65e0\u673a\u6750\u6599\u7814\u7a76\u4e2d\u7684\u5206\u5f62\u73b0\u8c61\u3002\u6750\u6599\u5b66\u7814\u7a76\u91cc\u6700\u901a\u5e38\u7684\u60c5\u51b5\u662f\u5728\u9759\u6001\u6563\u5c04\u5b9e\u9a8c\uff08\u5149\u3001\u4e2d\u5b50\uff09\u4e2d\u6563\u5c04\u5149\u5f3a\u7684\u89d2\u5ea6\u4f9d\u8d56\u6027\u5728\u4e00\u5b9a\u89d2\u5ea6\u8303\u56f4\u5185\u9075\u5faa\u67d0\u79cd\u5e42\u5f8b\u5173\u7cfb\uff1aS(q)~q-D\uff0c\u5176\u4e2dD\u662f\u5206\u5f62\u7ef4\u6570\uff0cq\u662f\u6ce2\u77e2\u3002\u6309\u6211\u7684\u4e13\u4e1a\u80cc\u666f\u6211\u4e5f\u5c31\u53ea\u6709\u8d44\u683c\u8bf4\u8bf4\u9ad8\u5206\u5b50\u7684\u4f8b\u5b50\u3002\u4e00\u4e2a\u6559\u79d1\u4e66\u7ea7\u522b\u7684\u4f8b\u5b50\u5c31\u662f\u94fe\u6784\u8c61\u7edf\u8ba1\u3002\u4ece\u81ea\u76f8\u4f3c\u7684\u6982\u5ff5\u51fa\u53d1\uff0c\u4e00\u67613\u7ef4\u7406\u60f3\u9ad8\u65af\u94fe\u7684\u81ea\u76f8\u4f3c\u6027\u662f\u6307\u5176\u5747\u65b9\u56de\u8f6c\u534a\u5f84<Rg2>~n2\u3002\u8981\u201c\u770b\u201d\u5230\u8fd9\u4e2a\u81ea\u76f8\u4f3c\u73b0\u8c61\uff0c\u5c31\u8981\u505a\u9759\u6001\u6563\u5c04\u5b9e\u9a8c\u3002\u4e00\u5b9a\u6ce2\u957f\u7684\u5149\u6700\u6613\u88ab\u4e00\u5b9a\u5c3a\u5bf8\u7684\u539f\u5b50\u6216\u7535\u5b50\u5bc6\u5ea6\u6563\u5c04\uff08\u539f\u5b50\u8fd8\u662f\u7535\u5b50\u8981\u770b\u4f60\u7684\u5149\u6e90\u662f\u4e2d\u5b50\u8fd8\u662fX\u5c04\u7ebf\uff09\u3002\u6563\u5c04\u51fd\u6570S(q)\u662f\u5728q-1\u5c3a\u5ea6\u5c0f\u4e8eRg\u7684\u524d\u63d0\u4e0b\uff0c\u53ef\u4ee5\u201c\u770b\u201d\u5230\u94fe\u6bb5\u5bc6\u5ea6\u7684\u7a7a\u95f4\u5206\u5e03\uff0c\u6570\u5b66\u4e0a\u7528\u5bc6\u5ea6\u81ea\u76f8\u5173\u51fd\u6570\u0393\u8868\u793a\u3002\u0393\u7684Fourier\u53d8\u6362\u5c31\u662f\u5149\u6563\u5c04\u51fd\u6570S(q)\u3002\u5982\u679c\u6709<Rg2>~n2\uff0c\u5149\u6563\u5c04\u5b9e\u9a8c\u4e2d\u5c31\u80fd\u201c\u770b\u5230\u201dS(q)~q-2\uff0c\u5373\u5206\u5f62\u7ef4\u6570D=2\u3002\u8fd9\u662f\u7406\u60f3\u94fe\u3002Flory\u8003\u8651\u4f53\u79ef\u6392\u9664\u6548\u5e94\u7b97\u51faD=6\/5\u3002\u4ee5\u4e0a\u8fd9\u4e9b\u6750\u6599\u5b66\u7684\u4f8b\u5b50\u4f30\u8ba1\u7ed9\u75f4\u8ff7\u4e8e\u5927\u5c41\u80a1\u7684\u5927\u4f17\u8bfb\u8005\u6cfc\u4e86\u51b7\u6c34\u3002\u4e0d\u662f\u5206\u5f62\u4e48\uff1f\u600e\u4e48\u4e0d\u89c1\u5927\u5c41\u80a1\u5462\uff1f\u76f8\u6bd4\u4e4b\u4e0b\uff0c\u6570\u5b66\u89c6\u9891\u7cfb\u5217Dimensions\u7684\u7b2c\u516d\u96c6\u8db3\u4ee5\u6ee1\u8db3\u6b64\u7c7b\u89c2\u4f17\uff08\u8981\u7ffb\u5899\uff09\uff1a\u6211\u662f\u4ece\u8fd9\u4e2a\u89c6\u9891\u91cc\u7b2c\u4e00\u6b21\u77e5\u9053\u539f\u6765Mandelbrot\u96c6\u5408\u662f\u63cf\u8ff0Julia\u96c6\u5408\u51fa\u73b0\u5206\u5f62\u7684\u533a\u57df\u800c\u5df2\u3002Julia\u96c6\u5408\u5206\u5f62\u662fT(z)=z2+c\u64cd\u4f5c\u65e0\u9650\u8fed\u4ee3\u7684\u7ed3\u679c\u3002\u53ea\u6709\u590d\u5e38\u6570c\u5728\u4e00\u5b9a\u53d6\u503c\u8303\u56f4\u5185\uff0c\u8fed\u4ee3\u7684\u7ed3\u679c\u624d\u662f\u4e00\u4e2a\u80fd\u770b\u5230\u4e00\u7247\u9762\u79ef\u7684\u5206\u5f62\uff08\u8fde\u901a\uff09\u2014\u2014\u5154\u5b50\uff01\u3002\u5728\u6b64\u8303\u56f4\u5916\uff0cJulia set\u5c31\u53d8\u6210\u65e0\u9650\u7cbe\u7ec6\u7684\u56fe\u6848\uff08\u975e\u8fde\u901a\uff09\u2014\u2014\u5565\u90fd\u770b\u4e0d\u89c1\u4e86\u3002\u8fd9\u4e2a\u8303\u56f4\u5728\u590d\u5e73\u9762\u4e0a\u7684\u56fe\u5f62\u5c31\u662fMandelbrot\u5206\u5f62\uff0c\u5b83\u754c\u5b9a\u4e86\u8fde\u901a\u548c\u975e\u8fde\u901a\u7684Julia set\u3002\u97f3\u4e50\u4e0e\u5316\u5b66\u56de\u5e94\u5b8c\u5bf9Mandelbrot\u7684\u7eaa\u5ff5\u4e4b\u540e\uff0c\u518d\u56de\u5e94\u674e\u6dfc\u7814\u7a76\u5458\u7684\u201c\u827a\u672f\u5174\u8da3\u201d\u8bdd\u9898\u3002\u674e\u6dfc\u7814\u7a76\u5458\u5bf9\u7269\u7406\u5b66\u5bb6\u6216\u6570\u5b66\u5bb6\u4e2d\u7684\u8bd7\u4eba\u6bd4\u8f83\u719f\u6089\uff0c\u6211\u662f\u53e4\u5178\u97f3\u4e50\u7231\u597d\u8005\uff0c\u56e0\u6b64\u6211\u80fd\u4e3e\u51fa\u4e00\u4e9b\u5316\u5b66\u5bb6\u4e2d\u7684\u97f3\u4e50\u5bb6\uff0cor vise versa\u3002\u4f8b\u5982\uff0cAlexander Borodin\u662f\u4fc4\u7f57\u65af\u4f5c\u66f2\u5bb6\uff0c\u6240\u8c13\u201c\u4e94\u4eba\u56e2\u201d\u4e4b\u4e00\u3002\u4ed6\u521b\u4f5c\u7684\u6700\u4f18\u7f8e\u7684\u65cb\u5f8b\u5e94\u8be5\u662f\u5f26\u4e50\u56db\u91cd\u594f\u7684\u7b2c\u4e8c\u4e50\u7ae0\u201c\u591c\u66f2\u201d\u3002\u4ee5\u4ed6\u547d\u540d\u7684\u53cd\u5e94\uff1a E. Elgar\uff0c\u82f1\u56fd\u4f5c\u66f2\u5bb6\u3002\u7535\u5f71\u300a\u5979\u6bd4\u70df\u82b1\u5bc2\u5bde\u300b\u91cc\u7684\u5973\u4e3b\u89d2\uff0c\u5927\u63d0\u7434\u624bdu Pre\u7684\u6210\u540d\u4f5c\u5c31\u662fElgar\u7684\u5927\u63d0\u7434\u534f\u594f\u66f2\u3002\u800c\u6211\u8ba4\u4e3aElgar\u6700\u4f18\u7f8e\u7684\u65cb\u5f8b\u5e94\u8be5\u662f\u5c0f\u63d0\u7434\u534f\u594f\u66f2\u7684\u6162\u4e50\u7ae0\u3002\u4ed6\u53d1\u660e\u4e86\u4e00\u4e2a\u5236\u5907\u786b\u5316\u6c22\u7684\u88c5\u7f6e\u5e76\u6210\u529f\u7533\u8bf7\u4e86\u4e13\u5229\u3002\u8fd9\u4e24\u4e2a\u4eba\u4e5f\u8bb8\u5728\u97f3\u4e50\u754c\u6bd4\u5728\u5316\u5b66\u754c\u6709\u540d\u3002\u90a3\u597d\uff0cJohannes Br\u00f8nsted\u8fd9\u4e2a\u540d\u5b57\uff0c\u6240\u6709\u5316\u5b66\u7cfb\u7684\u5b66\u751f\u90fd\u5e94\u8be5\u8ba4\u8bc6\u2014\u2014\u9178\u78b1\u7684\u8d28\u5b50\u7406\u8bba\u3002\u4ed6\u662f\u4e1a\u4f59\u7537\u4e2d\u97f3\u6b4c\u5531\u5bb6\u548c\u753b\u5bb6\u3002 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Phys. 1982, 77, 4270\uff09\u7ed9\u51fa\u4e86\u7ed9\u5b9a\u5c3a\u5bf8\u5206\u5e03\u7684\u7c92\u5b50\u4f53\u7cfb\u7684\u5e73\u5747\u6269\u6563\u7cfb\u6570\u8868\u8fbe\u5f0f\uff1a\u5176\u4e2d\u4e0b\u6807p\u662f\u6307\u7b2cp\u79cd\u5c3a\u5bf8\u3002N\u662f\u4e2a\u6570\uff0cf\u662f\u6563\u5c04\u5f3a\u5ea6\u3002\u5bf9\u4e8e\u5c3a\u5bf8\u5206\u5e03\u672c\u6765\u662f\u5355\u5206\u6563\u7684\u7c92\u5b50\uff0c\u5728\u805a\u96c6\u8fc7\u7a0b\u4e2d\u5c31\u4f1a\u6709\u4e8c\u805a\u4f53\u3001\u4e09\u805a\u4f53\u5230p\u805a\u4f53\u7b49\u5927\u5c0f\u4e0d\u4e00\u7684\u5355\u5143\u5b58\u5728\uff0c\u56e0\u6b64\u662f\u4e00\u4e2a\u591a\u5206\u6563\u4f53\u7cfb\uff0c\u9002\u7528Pusey\u7684\u5f0f\u5b50\u3002\u800c\u4e14\u5404p\u805a\u4f53\u7684\u6570\u91cf\u90fd\u968f\u65f6\u95f4\u53d8\u5316\uff0c\u5373\u6574\u4e2a\u5c3a\u5bf8\u5206\u5e03\u5728\u968f\u65f6\u95f4\u53d8\u5316\u3002\u56e0\u6b64Pusey\u7684\u90a3\u6761\u5f0f\u5b50\u5c31\u8981\u52a0\u4e0a\u65f6\u95f4\u4f9d\u8d56\u6027\uff0c\u53d8\u6210\u4e86\uff1aVersmold & H\u00e4rtl\uff08J. Chem. Phys. 1983, 79, 4006\uff09\u901a\u8fc7\u7b80\u5355\u5047\u8bbe\u5404p\u805a\u4f53\u90fd\u662f\u7403\u4f53\uff0c\u4ee5\u4fbf\u90a3\u4e2a\u6269\u6563\u7cfb\u6570\u4e0e\u5c3a\u5bf8\u7684\u5173\u7cfb\u5f0f\u80fd\u5e94\u7528\u5728\u5404\u4e2ap\u805a\u4f53\u4e0a\uff1b\u53e6\u6839\u636e\u5149\u6563\u5c04\u539f\u7406\uff0c\u6563\u5c04\u5f3a\u5ea6f\u8ddf\u7c92\u5b50\u4f53\u79ef\uff08\u534a\u5f84\u7684\u7acb\u65b9\uff09\u6709\u5173\u3002\u8fd9\u6837\u5c31\u628aPusey\u7684\u5f0f\u5b50\u4e2dfp\u548cD0,p\u76f4\u63a5\u7528ap\u4ee3\u66ff\u4e86\uff0c\u53d8\u6210\uff1aSmoluchowski\u65b9\u7a0bNp(t\/t1\/2)=...\u7684\u7528\u5904\u5c31\u662f\u7528\u6765\u7b97\u4e0a\u5f0f\u90a3\u4e24\u4e2ap\u7684\u77e9\u3002\u636eVersmold & H\u00e4rtl\u7684\u6587\u7ae0\u6240\u5f15\u8ff0\uff0cp\u7684\u5747\u65b9\u503c\uff086\/3\uff09\u4e4b\u524d\u6709\u4eba\u7ed9\u51fa\u89e3\u6790\u89e3\u4e86\u3002\u53ef\u8fd95\/3\u9636\u77e9\u53ef\u600e\u4e48\u529e\u5462\uff1fVersmold & H\u00e4rtl\u53ea\u80fd\u5728\u65f6\u95f4t\/t1\/2\u5f88\u5c0f\u7684\u6761\u4ef6\u4e0b\uff08\u5373aggregation\u521a\u53d1\u751f\u6ca1\u591a\u4e45\uff09\u628aSmoluchowski\u65b9\u7a0b\u7ed9\u5c55\u5f00\u4e86\u53d6\u8fd1\u4f3c\uff0c\u8fd9\u6837\u7684\u8bddp\u7684n\/3\u9636\u77e9\u968ft\/t1\/2\u7684\u53d8\u5316\u5c31\u90fd\u80fd\u8ba1\u7b97\u3002\u4e0d\u8fc7\u8fd9\u6837\u7ed9\u51fa\u7684\u8868\u8fbe\u5f0f\u662f\u4e2a\u7ebf\u6027\u5f0f\uff0c\u53ea\u9002\u7528\u4e8e\u805a\u96c6\u53cd\u5e94\u7684\u521d\u671f\u3002\u81f3\u4e8e\u9002\u7528\u4e8e\u6574\u4e2a\u65f6\u95f4\u57df\u7684\u8868\u8fbe\u5f0f\uff0c\u53ef\u4ee5\u7528\u8ba1\u7b97\u673a\u7ed9\u51fa\u6570\u503c\u89e3\u3002\u4ee5\u4e0a\u7684\u5de5\u4f5c\uff0c\u901a\u8fc7Smoluchowski\u65b9\u7a0b\uff0c\u7ed9\u51fa\u4e86\u7c92\u5b50\u4f53\u7cfb\u5728\u805a\u96c6\u8fc7\u7a0b\u4e2d\u6269\u6563\u7cfb\u6570\u7684\u65f6\u95f4\u4f9d\u901f\u5173\u7cfbD(t)\u7684\u8868\u8fbe\u5f0f\uff0c\u5f0f\u4e2d\u552f\u4e00\u7684\u53c2\u6570\u662f\u90a3\u4e2at1\/2\uff0c\u6240\u4ee5\uff0c\u62ff\u8fd9\u4e2a\u8868\u8fbe\u5f0f\u53bb\u62df\u5408\u5b9e\u6d4b\u6570\u636e\uff0c\u5c31\u80fd\u5f97\u5230\u8fd9\u4e2at1\/2\u4e86\u3002\u8fd9\u4e2at1\/2\u8ddf\u805a\u96c6\u53cd\u5e94\u7684\u901f\u7387\u5e38\u6570k\u76f4\u63a5\u6709\u5173\uff1ak=1\/(t1\/2N0)\uff0c\u5176\u4e2dN0\u662f\u6700\u521d\u7684\u7c92\u5b50\u5bc6\u5ea6\uff08\u4e2a\u6570\u6bd4\u4f53\u79ef\uff09\u3002\u6240\u4ee5\uff0c\u7528\u52a8\u6001\u5149\u6563\u5c04\u53ef\u4ee5\u6d4b\u51fak\u3002k\u53c8\u8ddf\u7c92\u5b50\u95f4\u7684pair potential\u6709\u4ec0\u4e48\u5173\u7cfb\u5462\uff1f\u9996\u5148\uff0c\u8fd9\u4e2a\u901f\u7387\u5e38\u6570\u662f\u805a\u96c6\u53cd\u5e94\u7684\u6570\u7387\u5e38\u6570\uff0c\u4e24\u4e2a\u7c92\u5b50\u78b0\u649e\u540e\u8981\u53d1\u751f\u805a\u96c6\uff0c\u5b83\u4eec\u5f53\u7136\u8981\u514b\u670d\u6389\u4e24\u8005\u95f4\u7684potential barrier\u3002\u56e0\u6b64\u7c92\u5b50\u95f4\u7684potential barrier\u5c31\u51b3\u5b9a\u4e86\u6709\u6548\u78b0\u649e\u5360\u603b\u78b0\u649e\u6570\u4e4b\u6bd4\u4f8b\u3002\u603b\u78b0\u649e\u6570\u65e0\u975e\u5c31\u662f\u5e03\u6717\u8fd0\u52a8\u51b3\u5b9a\uff08\u7c98\u5ea6\u3001\u5c3a\u5bf8\u90fd\u5b9a\u4e86\u8fd9\u4e2a\u5c31\u662f\u5b9a\u7684\uff09\u3002\u56e0\u6b64\uff0c\u90a3\u4e2a\u6bd4\u4f8b\u2014\u2014\u79f0\u4e3astability ratio\uff0cW\u2014\u2014\u5c31\u8ddfpotential barrier\u76f4\u63a5\u6709\u5173\u4e86\uff1a\u636e\u4f20\u4e0a\u5f0f\u662fN. Fuch\u7ed9\u7684\uff0c\u4e4b\u6240\u4ee5\u8bf4\u201c\u636e\u4f20\u201d\uff0c\u662f\u56e0\u4e3a\u6211\u81ea\u5df1\u6ca1\u6709\u770b\u8fc7N. Fuch\u7684\u8bba\u6587\uff08\uff09\u2014\u2014\u5fb7\u8bed\u7684\uff0c\u770b\u4e0d\u61c2\u3002\u6211\u53ea\u77e5\u9053\u5f88\u591a\u4eba\u4e00\u63d0\u5230stability ratio\uff0c\u5c31\u5f15N. Fuch\u8fd9\u7bc7\u4e1c\u897f\u3002\u79ef\u5206\u5f0f\u4e2d\u7684U(r)\u5f62\u5f0f\u4e94\u82b1\u516b\u95e8\uff0c\u4e5f\u5f88\u590d\u6742\uff0c\u4ec0\u4e48van der Waals\u4f5c\u7528\u3001\u9759\u7535\u4f5c\u7528\u3001\u4f4d\u963b\u4f5c\u7528\u7b49\u7b49\u7406\u8bba\u6a21\u578b\u4e00\u5927\u5806\uff0c\u6240\u4ee5\u591a\u6570\u60c5\u51b5\u4e0bW\u7684\u76f4\u63a5\u8868\u8fbe\u5f0f\u90fd\u662f\u627e\u4e2a\u8fd1\u4f3c\u5f0f\u51d1\u5408\u7528\u7684\u3002Prieve and Ruckenstein\uff08J. Colloid Interf. Sci. 1980, 73, 539\uff09\u4e3a\u7403\u5f62\u7c92\u5b50\u5bfc\u51fa\u7684\u8fd1\u4f3c\u8868\u8fbe\u5f0f\uff1a\u8fd9\u6837\u4e00\u6765\uff0cW\u5c31\u8ddfpotential barrier\u6709\u5173\u4e86\u3002Smoluchowski\u7684\u8bba\u6587\u5f88\u591a\u6587\u7ae0\u4e00\u8bb2\u5230Smoluchowski\u7684\u8bba\u6587\uff0c\u5c31\u4e00\u5b9a\u662f\u5f15\u7528\u4ed6\u57281916\u548c1917\u5e74\u53d1\u8868\u7684\u4e24\u7bc7\u6587\u7ae0\u3002\u6211\u53d1\u73b0\u6709\u5f88\u5927\u4e00\u90e8\u5206\u5f15\u7528\u662f\u9519\u8bef\u7684\uff1aZ. Phys. 1916, 17, 557; ibid. 1916, 17,\u2026","rel":"","context":"In &quot;\u4e2a\u4eba\u6587\u96c6&quot;","block_context":{"text":"\u4e2a\u4eba\u6587\u96c6","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/featured"},"img":{"alt_text":"M. 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