{"id":9338,"date":"2025-12-23T22:28:30","date_gmt":"2025-12-23T14:28:30","guid":{"rendered":"https:\/\/www.andrewsun.net\/panta_rhei\/?p=9338"},"modified":"2025-12-23T22:28:30","modified_gmt":"2025-12-23T14:28:30","slug":"%e6%b3%a8%ef%bc%9a%e5%85%ac%e5%bc%8fx%e6%98%af%e5%9c%a8%e5%be%b7%e5%9b%bd%e9%85%92%e5%90%a7%e9%87%8c%e6%8e%a8%e5%87%ba%e6%9d%a5%e7%9a%84%ef%bc%8c%e6%97%85%e8%b4%b9%e6%98%afnsf%e8%b5%84","status":"publish","type":"post","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/9338","title":{"rendered":"\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"},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"9338\">\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"107\" data-attachment-id=\"9339\" data-permalink=\"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/9338\/image-46\" data-orig-file=\"https:\/\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2025\/12\/image.png\" data-orig-size=\"1317,137\" data-comments-opened=\"0\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2025\/12\/image-1024x107.png\" src=\"https:\/\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2025\/12\/image-1024x107.png\" alt=\"\" class=\"wp-image-9339\" srcset=\"https:\/\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2025\/12\/image-1024x107.png 1024w, https:\/\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2025\/12\/image-480x50.png 480w, https:\/\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2025\/12\/image-768x80.png 768w, https:\/\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2025\/12\/image-624x65.png 624w, https:\/\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2025\/12\/image.png 1317w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">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<\/figcaption><\/figure>\n\n\n\n<p>\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&#8211;Stockmayer&#8211;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<\/p>\n\n\n\n<p>\u6587\u732e20\u662f\u4e00\u7bc7\u4e3b\u9898\u5b8c\u5168\u4e0d\u76f8\u5173\u7684\u8bba\u6587<span id=\"cite_ITEM-9338-0\" name=\"citation\"><a href=\"#ITEM-9338-0\">[1]<\/a><\/span>\uff0c\u53ea\u6709\u9e23\u8c22\u7684\u8fd9\u6bb5\u9996\u51fa\u4e86\u7384\u673a\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"719\" height=\"238\" data-attachment-id=\"9340\" data-permalink=\"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/9338\/image-47\" data-orig-file=\"https:\/\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2025\/12\/image-1.png\" data-orig-size=\"719,238\" data-comments-opened=\"0\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2025\/12\/image-1.png\" src=\"https:\/\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2025\/12\/image-1.png\" alt=\"\" class=\"wp-image-9340\" srcset=\"https:\/\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2025\/12\/image-1.png 719w, https:\/\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2025\/12\/image-1-480x159.png 480w, https:\/\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2025\/12\/image-1-624x207.png 624w\" sizes=\"auto, (max-width: 719px) 100vw, 719px\" \/><figcaption class=\"wp-element-caption\">J. Phys. Chem. 1962, 66, 6, 1058\u20131063<\/figcaption><\/figure>\n\n\n\n<p>\u6211\u4e5f\u6709\u597d\u4e9b\u516c\u5f0f\u662f\u5728\u6211\u697c\u4e0b\u7684\u661f\u5df4\u514b\u91cc\u63a8\u51fa\u6765\u7684\u3002<\/p>\n<h2>References<\/h2>\n    <ol>\n    <li><a name='ITEM-9338-0'><\/a>\nR.M. Noyes, \"SOME CONDITIONS FOR VALIDITY OF STATISTICAL THERMODYNAMIC TREATMENTS OF REACTION KINETICS\", <i>The Journal of Physical Chemistry<\/i>, vol. 66, pp. 1058-1063, 1962. <a href=\"http:\/\/dx.doi.org\/10.1021\/j100812a021\">http:\/\/dx.doi.org\/10.1021\/j100812a021<\/a>\n\n\n<\/li>\n<\/ol>\n\n<\/div> <!-- kcite-section 9338 -->","protected":false},"excerpt":{"rendered":"<p>\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&#8211;Stockmayer&#8211;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 \u6211\u4e5f\u6709\u597d\u4e9b\u516c\u5f0f\u662f\u5728\u6211\u697c\u4e0b\u7684\u661f\u5df4\u514b\u91cc\u63a8\u51fa\u6765\u7684\u3002<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"aside","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":[137,174],"class_list":["post-9338","post","type-post","status-publish","format-aside","hentry","category-tagged","tag-people","tag-science-history","post_format-post-format-aside"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1aPvF-2qC","jetpack-related-posts":[{"id":9231,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/9231","url_meta":{"origin":9338,"position":0},"title":"\u4ece\u6c34\u4ea7\u5b66\u79d1\u8d70\u51fa\u7684\u9ad8\u5206\u5b50\u6559\u6388\u2014\u2014\u56de\u5fc6\u6211\u7684\u5bfc\u5e08\u85e4\u7530\u535a\u5148\u751f","author":"Andrew","date":"2025\u5e747\u67085\u65e5","format":false,"excerpt":"\u6ce8\uff1a\u539f\u6587\u53d1\u8868\u5728\u6c5f\u660e\u9662\u58eb\u521b\u529e\u7684\u300a\u65e6\u82d1\u6668\u949f\u300b\u5fae\u4fe1\u516c\u4f17\u53f7\u3002\u8bf7\u5173\u6ce8\u652f\u6301\u3002\u4f5c\u8005\u662f\u6211\u7684\u535a\u58eb\u751f\u5bfc\u5e08\uff0c\u6240\u4ee5\u6211\u53ea\u628a\u8fd9\u7bc7\u8f6c\u8f7d\u4e8e\u6b64\uff0c\u4ee5\u52a0\u5165\u7ae5\u771f\u6587\u96c6\u4e2d\u3002 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\u4e00\u3001\u81ea\u5b66\u6210\u6750\u7684\u56fd\u9645\u77e5\u540d\u6559\u6388 \u6211\u7684\u5bfc\u5e08\u662f\u65e5\u672c\u5927\u962a\u5927\u5b66\u85e4\u7530\u535a\u6559\u6388\uff08Hiroshi Fujita\uff0c1922\u5e744\u670810\u65e5\u20142007\u5e743\u670828\u65e5\uff0c\u56fe1\uff09\u3002\u6211\u56fd\u9ad8\u5206\u5b50\u754c\u5bf9\u4ed6\u4e0d\u719f\u6089\uff0c\u56e0\u4e3a\u4ed6\u51fa\u8eab\u4e8e\u975e\u5e73\u8861\u70ed\u529b\u5b66\u9886\u57df\uff0c\u65e9\u57281986\u5e74\u5c31\u9000\u4f11\u4e0d\u518d\u53c2\u52a0\u5b66\u672f\u6d3b\u52a8\u4e86\uff08\u6ca1\u6709\u7ecf\u8d39\uff09\uff0c\u4e5f\u6ca1\u6709\u6765\u8fc7\u4e2d\u56fd\uff0c\u4e0e\u6211\u56fd\u5b66\u8005\u7684\u4ea4\u96c6\u5f88\u5c11\u3002\u85e4\u7530\u6559\u6388\u662f1942\u5e744\u6708\u8003\u5165\u65e5\u672c\u4eac\u90fd\u5927\u5b66\uff08\u5f53\u65f6\u7684\u5e1d\u56fd\u5927\u5b66\uff09\u7269\u7406\u5b66\u79d1\u7684\uff0c\u5f53\u65f6\u5904\u4e8e\u6218\u4e89\u65f6\u671f\uff0c\u5927\u5b66\u5b66\u5236\u4ece\u539f\u6765\u76843\u5e74\u7f29\u77ed\u52302\u5e74\u534a\uff0c\u6700\u540e1\u5e74\u8981\u8fdb\u5165\u4e00\u4e2a\u7814\u7a76\u5ba4\uff08\u65e5\u672c\u79f0\u4e3a\u201c\u8bb2\u5ea7\u201d\uff09\u5728\u6559\u6388\u6307\u5bfc\u4e0b\u53c2\u52a0\u5b66\u4e60\u548c\u79d1\u7814\u3002\u4ed6\u9009\u62e9\u4e86\u6d41\u4f53\u529b\u5b66\u7684\u7814\u7a76\u5ba4\uff0c1944\u5e749\u6708\uff08\u65e5\u672c\u7684\u5b66\u5e74\u6b63\u5e38\u60c5\u51b5\u4e0b\u662f\u57283\u6708\u5e95\u7ed3\u675f\uff09\u4eac\u90fd\u5927\u5b66\u7269\u7406\u5b66\u672c\u79d1\u6bd5\u4e1a\u83b7\u5f97\u7406\u5b66\u5b66\u58eb\u5b66\u4f4d\u3002\u65e5\u672c\u653f\u5e9c\u4e3a\u50a8\u5907\u5e74\u8f7b\u5de5\u7a0b\u5e08\u548c\u79d1\u5b66\u5bb6\u8bbe\u7acb\u4e86\u6218\u65f6\u201c\u7279\u522b\u7814\u7a76\u751f\u201d\uff0c\u7531\u653f\u5e9c\u63d0\u4f9b\u5956\u5b66\u91d1\u548c\u4eab\u6709\u514d\u4e8e\u88ab\u5f81\u5175\u7684\u7279\u6743\uff0c\u85e4\u7530\u5148\u751f\u88ab\u9009\u4e3a\u7279\u522b\u7814\u7a76\u751f\u5f97\u4ee5\u7ee7\u7eed\u4ece\u4e8b\u6d41\u4f53\u529b\u5b66\u7684\u8ba1\u7b97\u5de5\u4f5c\u3002\u56e0\u4e3a\u6d41\u4f53\u529b\u5b66\u548c\u7a7a\u6c14\u52a8\u529b\u5b66\u7684\u7814\u7a76\u53ef\u80fd\u5e2e\u52a9\u65e5\u672c\u590d\u5174\u822a\u7a7a\u5de5\u4e1a\uff0c1946\u5e74\u6218\u8d25\u540e\u7684\u65e5\u672c\u4e0d\u88ab\u5141\u8bb8\u4ece\u4e8b\u6d41\u4f53\u529b\u5b66\u9886\u57df\u7684\u7814\u7a76\u5de5\u4f5c\u3002\u7ecf\u8fc7\u534a\u5e74\u5e2e\u52a9\u7236\u4eb2\u52a1\u519c\u540e\uff0c\u85e4\u7530\u5148\u751f\u5230\u79c1\u7acb\u7acb\u547d\u9986\u5927\u5b66\u7684\u524d\u8eab\u517c\u4efb\u8bb2\u5e08\u30021948\u5e74\u8d77\u4efb\u4eac\u90fd\u5927\u5b66\u519c\u5b66\u90e8\u6c34\u4ea7\u5b66\u79d1\u52a9\u624b\u3001\u526f\u6559\u6388\uff0c\u5f00\u59cb\u4e86\u65e0\u4eba\u6307\u5bfc\u7684\u81ea\u7531\u63a2\u7d22\u3002\u9c7c\u5e72\u662f\u65e5\u672c\u4eba\u7684\u4f20\u7edf\u98df\u7269\uff0c\u4ed6\u5c31\u4ece\u9c7c\u7684\u5e72\u71e5\u5f00\u59cb\u4e86\u975e\u7ebf\u6027\u6269\u6563\u7684\u7814\u7a76\u30021953\u5e74\u85e4\u7530\u5148\u751f\u4ee5\u5173\u4e8e\u6269\u6563\u548c\u70ed\u4f20\u5bfc\u975e\u7ebf\u6027\u95ee\u9898\u7684\u8bba\u6587\u83b7\u5f97\u4eac\u90fd\u5927\u5b66\u7406\u5b66\u535a\u58eb\u5b66\u4f4d\uff08\u4ed6\u575a\u6301\u7528Dr. Sci.\u800c\u4e0d\u662fPh.D.\uff09\u3002\u90a3\u65f6\uff0c\u65e5\u672c\u7684\u5927\u5b66\u6ca1\u6709\u7814\u7a76\u751f\u9662\uff0c\u535a\u58eb\u5b66\u4f4d\u4e0d\u662f\u901a\u8fc7\u4e0a\u5b66\u83b7\u5f97\u7684\uff0c\u800c\u662f\u4f5c\u4e3a\u5bf9\u7814\u7a76\u6210\u679c\u7684\u5956\u52b1\u83b7\u5f97\u7684\uff0c\u8981\u51ed\u53d1\u8868\u7684\u8bba\u6587\u6765\u7533\u8bf7\u3002\u8bf4\u4ed6\u81ea\u5b66\u6210\u6750\u662f\u56e0\u4e3a\u5411\u65e5\u672c\u7684\u5927\u5b66\u7533\u8bf7\u535a\u58eb\u5b66\u4f4d\u9700\u8981\u4e00\u4f4d\u6559\u6388\u6765\u4ecb\u7ecd\uff0c\u6c34\u4ea7\u5b66\u79d1\u6ca1\u6709\u4eba\u80fd\u591f\u7406\u89e3\u4ed6\u7684\u6210\u679c\u3002\u73b0\u5728\u79f0\u8fd9\u7c7b\u535a\u58eb\u4e3a\u201c\u8bba\u6587\u535a\u58eb\u201d\u3002\u4e8c\u6218\u540e\u65e5\u672c\u7684\u5927\u5b66\u624d\u5efa\u7acb\u7814\u7a76\u751f\u9662\uff08\u65e5\u8bed\u79f0\u201c\u5927\u5b66\u9662\u201d\uff09\uff0c\u5b66\u751f\u5728\u6559\u6388\u7684\u6307\u5bfc\u4e0b\u5b66\u4e60\u548c\u7814\u7a76\u4e00\u5b9a\u7684\u5e74\u6570\uff0c\u64b0\u5199\u8bba\u6587\u7533\u8bf7\u7855\u58eb\u6216\u535a\u58eb\u5b66\u4f4d\uff0c\u79f0\u4e3a\u201c\u8bfe\u7a0b\u535a\u58eb\u201d\u3002\u4ece1954\u5e74\u8d77\uff0c\u85e4\u7530\u5148\u751f\u591a\u6b21\u8d74\u8377\u5170\u3001\u7f8e\u56fd\u6e38\u5b66\u3001\u4efb\u6559\uff0c\u5f00\u5c55\u4e86\u8d85\u901f\u79bb\u5fc3\u5206\u6790\u7684\u57fa\u7840\u7814\u7a76\u3002\u53d1\u6325\u4e86\u4ed6\u5728\u6c42\u89e3\u6269\u6563\u65b9\u7a0b\u65b9\u9762\u7684\u7279\u957f\uff0c\u89e3\u51b3\u4e86\u6269\u6563\u7cfb\u6570\u548c\u6c89\u964d\u7cfb\u6570\u5177\u6709\u7684\u6d53\u5ea6\u4f9d\u8d56\u6027\u65f6\u5bf9\u6eb6\u8d28\u6c89\u964d\u8fb9\u754c\u533a\u57df\u5f62\u72b6\u7684\u5b9a\u91cf\u5f71\u54cd\uff0c\u5148\u540e\u51fa\u7248\u4e86\u4e24\u672c\u8d85\u901f\u79bb\u5fc3\u5206\u6790\u9886\u57df\u7684\u7ecf\u5178\u8457\u4f5c\uff1a\u201cMathematical Theory of Sedimentation Analysis\u201d\u00a0Academic Press 1962\u548c\u201cFoundations of Ultracentrifugal Analysis\u201dWiley-Interscience 1975\u3002\uff08H. Fujita, \u201cThe initial step in my science career\u201d,\u00a0Comprehensive Biochemistry, 2000, 41, 275\uff09\uff0c\u8fd8\u5efa\u7acb\u4e86Fujita--Doolittle equation\u3002 1961\u5e74\u65e5\u672c\u4ece\u7f8e\u56fdWisconsin\u5927\u5b66\u5f15\u8fdb\u85e4\u7530\u535a\u58eb\u5230\u5927\u962a\u5927\u5b66\uff0c\u62c5\u4efb\u9ad8\u5206\u5b50\u5b66\u79d1\u9ad8\u5206\u5b50\u6eb6\u6db2\u7406\u8bba\u8bb2\u5ea7\u7684\u6559\u6388\u3002\u65e5\u672c\u7684\u5927\u5b66\u662f\u8bb2\u5ea7\u5236\uff0c\u6bcf\u4e2a\u8bb2\u5ea7\u90fd\u6709\u7279\u5b9a\u7684\u5b66\u79d1\u65b9\u5411\uff0c\u4e00\u822c\u7f16\u5236\u662f1\u4f4d\u6559\u6388\u30011\u4f4d\u526f\u6559\u6388\u30012\u4f4d\u52a9\u624b\u3002\u8bb2\u5ea7\u662f\u4e00\u4e2a\u5751\u4e00\u4e2a\u841d\u535c\uff0c\u4e0d\u4f1a\u51fa\u73b0\u4e00\u4e2a\u9ad8\u5206\u5b50\u5b66\u79d1\u6709\u4e24\u4f4d\u6559\u6388\u5728\u540c\u4e00\u4e2a\u7814\u7a76\u65b9\u5411\u7684\u60c5\u51b5\u3002\u73b0\u5728\u5927\u962a\u5927\u5b66\u3001\u4eac\u90fd\u5927\u5b66\u90fd\u5c062~3\u4e2a\u8bb2\u5ea7\u5408\u5e76\u79f0\u4e3a\u201c\u5927\u8bb2\u5ea7\u201d\uff0c\u589e\u52a0\u4e86\u526f\u6559\u6388\u7684\u7f16\u5236\u6570\u800c\u51cf\u5c11\u4e86\u52a9\u624b\u7684\u7f16\u5236\u6570\u3002\u6559\u6388\u9000\u4f11\u540e\u8be5\u8bb2\u5ea7\u7684\u5b66\u79d1\u65b9\u5411\u53ef\u80fd\u88ab\u7ec8\u6b62\uff0c\u90a3\u6837\u526f\u6559\u6388\u3001\u52a9\u624b\u90fd\u8981\u53e6\u5bfb\u51fa\u8def\u3002\u4e3a\u4e86\u5411\u56fd\u5916\u4ecb\u7ecd\u65e5\u672c\u7684\u9ad8\u5206\u5b50\u7814\u7a76\uff0c\u85e4\u7530\u6559\u6388\u529b\u63a8\u5c06\u65e5\u672c\u7684\u300a\u9ad8\u5206\u5b50\u5b66\u62a5\u300b\u6539\u4e3a\u82f1\u8bed\u7684Polymer Journal\uff0c\u5728\u540c\u9f84\u4eba\u4e2d\u4ed6\u7684\u82f1\u8bed\u6700\u597d\uff0c\u4eb2\u4efb\u4e3b\u7f16\u76f4\u5230\u4ed6\u9000\u4f11\u3002\u6bcf\u5e74\u4ed6\u8981\u5ba1\u7a3f\u7ea680\u7bc7\u6587\u7a3f\uff0c\u90a3\u65f6\u6ca1\u6709\u7535\u8111\u3001\u7f51\u7edc\uff0c\u5168\u9760\u6253\u5b57\u673a\u3001\u90ae\u5bc4\u4fe1\u4ef6\uff0c\u6bcf\u5929\u5348\u996d\u540e\u90fd\u4f1a\u4ece\u4e00\u697c\u6536\u53d1\u5ba4\u62ff\u56de\u4e0d\u5c11\u7a3f\u4ef6\u3002\u7b2c\u4e00\u8981\u52a1\u662fpolish\u82f1\u8bed\uff0c\u8981\u8ba9native speaker\u80fd\u8bfb\u660e\u767d\uff0c\u5012\u662f\u6ca1\u6709\u4eca\u65e5\u201c\u5f71\u54cd\u56e0\u5b50\u201d\u7684\u70e6\u607c\u3002\u4ed6\u8fd8\u62c5\u4efb\u8fc7J.Polym. Sci.\u548cAdv. Polym. Sci.\u7684\u7f16\u8f91\u3002\u90a3\u65f6\u65e5\u672c\u5173\u897f\u5730\u533a\u7684\u56fd\u7acb\u5927\u5b66\u662f3\u6708\u5e95\u6ee163\u5c81\u5c31\u8981\u9000\u4f11\uff08\u73b0\u5728\u6539\u4e3a65\u5c81\u4e86\uff09\uff0c\u85e4\u7530\u6559\u63881986\u5e744\u6708\u4ece\u5927\u962a\u5927\u5b66\u9000\u4f11\u3002 \u9000\u4f11\u4ee5\u540e\u4ed6\u7684\u613f\u671b\u662f\u53d1\u8868\u4ee5\u5bb6\u5ead\u5730\u5740\u4e3a\u901a\u8baf\u5730\u5740\u7684\u7814\u7a76\u8bba\u6587\uff0c1988\u5e74\u548c1993\u5e74\u5728Macromolecules\u4e0a\u53d1\u8868\u4e86\u4e24\u7bc7\u8bba\u6587\uff08Macromolecules\u00a01988, 21,179;\u00a0Macromolecules\u00a01993, 26, 643\uff0c\u56fe2\uff09\uff0c2000\u5e74\u8fd8\u5728J. Phys. Chem.\u53d1\u8868\u4e86\u7535\u89e3\u8d28\u5728\u6c34\u4e2d\u6269\u6563\u7684\u8bba\u6587\uff08J. Phys. Chem. 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Matter\u63a5\u6536\u4e86\u3002\u5c3d\u7ba1\u63a5\u6536\u4e86\uff0c\u81f3\u4eca\u672a\u6709\u4ed6\u4eba\u5f15\u7528\u3002\u5f53\u65f6PRL \u5ba1\u7a3f\u610f\u89c1\u8fd8\u63d0\u51fa\u6211\u4eec\u5e94\u8be5\u63d0\u51fa\u4e00\u4e2a\u6a21\u578b\u53bb\u63cf\u8ff0\u8fd9\u4e2a\u73b0\u8c61\uff0c\u4e0d\u80fd\u53ea\u662f\u5b9e\u9a8c\u3002\u4e8e\u662f\u6211\u53c8\u5728\u56de\u590d\u5ba1\u7a3f\u610f\u89c1\u7684\u9650\u671f\u5185\u67e5\u9605\u4e86\u5927\u91cf\u8bba\u6587\u3002\u73b0\u5728\u77e5\u9053\uff0c\u8981\u4ece\u80f6\u4f53\u76f8\u4e92\u4f5c\u7528\u52bf\u51fa\u53d1\uff0c\u9884\u6d4b\u5176\u51dd\u80f6\u6216\u73bb\u7483\u6001\u7684\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u7406\u8bba\uff0c\u4e5f\u5c31\u53ea\u6709\u57fa\u4e8eschematic MCT\u7684F12\u6a21\u578b\u3002\u8def\u5b50\u4e0d\u662f\u6ca1\u6709\u7684\uff0c\u4ece\u76f8\u4e92\u4f5c\u7528\u52bf\u80fd\u51fa\u53d1\uff0c\u91c7\u7528\u4e00\u4e2a\u5e38\u7528\u7684\u6bd4\u5982\u8bf4Percus\u2013Yevick\uff0c\u5f97\u5230\u76f8\u5e94\u7684\u9759\u6001\u7ed3\u6784\u56e0\u5b50\uff0c\u7136\u540e\u4ee3\u5165MCT\u7684kernal\u5f0f\u4e2d\u8ba1\u7b97memory function\uff1b\u7136\u540e\u4ee3\u5165\u5c0f\u5e45\u6b63\u5f26\u632f\u8361\u5e94\u53d8\uff0c\u8ba1\u7b97\u77ac\u6001\u5e94\u529b\u54cd\u5e94\uff0c\u5e76\u5f97\u5230\u76f8\u5e94\u7684\u590d\u6570\u6a21\u91cf\u3002\u8fd9\u4e00\u5927\u901a\u8ba1\u7b97\uff0c\u6211\u5f53\u65f6\u770b\u50bb\u773c\u4e86\uff0c\u6240\u4ee5\u653e\u5f03\u4e86\u3002\u73b0\u5728\uff0c\u867d\u7136\u5927\u81f4\u89c9\u5f97\u90fd\u61c2\u5f04\uff0c\u4f46\u6ca1\u6709\u7cbe\u529b\u5199\u8fd9\u4e2a\u7a0b\u5e8f\u3002\u7ecf\u8fc7\u5bf9Laponite\u4f53\u7cfb\u7684\u4e00\u6bb5\u65f6\u95f4\u63a5\u89e6\uff0c\u6211\u8d8a\u6765\u8d8a\u5f3a\u70c8\u5730\u89c9\u5f97\uff0c\u90a3\u4e9b\u5728\u5df2\u62a5\u9053\u76f8\u56fe\u4e2d\u6807\u660e\u4e3a\u201c\u73bb\u7483\u201d\u7684\u914d\u6bd4\u4f53\u7cfb\u5176\u5b9e\u5e94\u8be5\u662f\u51dd\u80f6\u3002\u4e3a\u6b64\uff0c\u6211\u5f00\u59cb\u9010\u7bc7\u67e5\u9605\u5173\u4e8eLaponite\u76f8\u56fe\u7684\u8bba\u6587\u3002\u4f46\u8fd9\u6d89\u53ca\u5230\u201c\u4f55\u4e3a\u80f6\u4f53\u73bb\u7483\/\u51dd\u80f6\u201d\u7684\u95ee\u9898\uff0c\u6211\u53c8\u6269\u5927\u5230\u4e86\u6240\u6709\u786c\u7403\u4f53\u7cfb\u7684\u5e73\u8861\u6001\u76f8\u8f6c\u53d8\u7814\u7a76\u3002\u8fd9\u4e00\u4e0b\u5b50\u6d89\u53ca\u9762\u5c31\u5927\u4e86\uff0c\u800c\u4e14\u6211\u4e00\u4e0b\u5b50\u610f\u8bc6\u4e0d\u5230\uff0c\u6211\u9996\u5148\u5e94\u8be5\u6709\u5e73\u8861\u6001\u7edf\u8ba1\u7269\u7406\u7684\u57fa\u7840\u4ee5\u53ca\u8ba1\u7b97\u673a\u6a21\u62df\u65b9\u6cd5\u7684\u57fa\u7840\uff0c\u4e00\u76f4\u901a\u8fc7\u6587\u732e\u603b\u7ed3\u77e5\u8bc6\uff0c\u8fd9\u6bb5\u65f6\u95f4\u5927\u6982\u662f\u4ece2013\u5e74\u52302014\u5e74\u8fd9\u4e00\u5e74\u7684\u65f6\u95f4\u3002\u6211\u5927\u6982\u4ece\u6982\u5ff5\u4e0a\u641e\u6e05\uff0c\u4e5f\u8c03\u67e5\u6e05\u695a\u628aLaponite\u4f53\u7cfb\u770b\u4f5c\u73bb\u7483\u7684\u89c2\u70b9\u53f2\u53ca\u8bc1\u636e\uff0c\u8ba4\u4e3a\u54ea\u6015\u7efc\u8ff0\u90fd\u53d1\u8868\u4e86\uff0c\u4f46\u8fd9\u4e2a\u89c2\u70b9\u662f\u7f3a\u4e4f\u652f\u6301\u7684\u3002\u4e0e\u6b64\u540c\u65f6\uff0c\u8ddf\u6211\u505a\u5b9e\u9a8c\u7684\u5e08\u5f1f\u53c8\u91cd\u590d\u6211\u5df2\u53d1\u8868\u5de5\u4f5c\u7684\u5957\u8def\uff0c\u8fd9\u6b21\u4ed6\u53d8\u5316\u4e86\u4e0d\u540c\u7684\u6e29\u5ea6\u505a\u52a8\u529b\u5b66\u66f2\u7ebf\uff0c\u7136\u540e\u53d1\u73b0\u53ef\u53e0\u52a0\u6027\u3002\u672c\u6765\u6211\u63d0\u4e0d\u8d77\u7cbe\u795e\u53bb\u6574\u7406\u8fd9\u79cd\u91cd\u590d\u7684\u5de5\u4f5c\uff0c\u4f46\u662f\u6bd5\u7adf\u5de5\u4f5c\u4e86\uff0c\u6ca1\u8d28\u91cf\u6709\u6570\u91cf\u4e5f\u597d\u554a\u3002\u8fd9\u4e2a\u5e08\u5f1f\u7684\u5b9e\u9a8c\u7ed3\u679c\u6709\u4e00\u4e2a\u5c0f\u5f02\u5e38\uff0c\u5c31\u662fLaponite\u51dd\u80f6\u5316\u5feb\u6162\u7684\u6e29\u5ea6\u4f9d\u8d56\u6027\u4e0d\u662f\u5355\u8c03\u7684\u3002\u4e00\u5f00\u59cb\u6211\u89c9\u5f97\u8fd9\u4e5f\u5f88\u96be\u8bf4\u51fa\u4e2a\u4ec0\u4e48\uff0c\u800c\u4e14\u5047\u5982\u91c7\u7528\u4ee5\u524d\u7528\u8fc7\u7684\u4e0d\u53ef\u9006\u805a\u96c6\u6a21\u578b\u518d\u6765\u8ba1\u7b97\u4e00\u756a\uff0c\u4e5f\u65e0\u8bba\u5982\u4f55\u4e0d\u4f1a\u7b97\u51fa\u975e\u5355\u8c03\u7684\u6e29\u5ea6\u4f9d\u8d56\u6027\u3002\u4e8e\u662f\u60f3\u4e5f\u8bb8\u4e0d\u540c\u6e29\u5ea6\u4e0b\u4e5f\u8bb8\u7c92\u5b50\u8868\u9762\u7279\u6027\u4f1a\u4e0d\u540c\uff0c\u662f\u4ece\u76f8\u4e92\u4f5c\u7528\u52bf\u5c42\u9762\u5f71\u54cd\u5bfc\u81f4\u7684\u7ed3\u679c\uff0c\u4e8e\u662f\u5c31\u8ba9\u5e08\u5f1f\u8865\u6d4b\u4e86\u4e00\u4e0b\u4e0d\u540c\u7535\u5bfc\u7387\u548cpH\u503c\uff0c\u76f4\u63a5\u8ba1\u7b97\u8868\u9762\u7535\u8377\u5bc6\u5ea6\uff08\u800c\u4e0d\u662f\u7b80\u5355\u7528\u4e00\u4e2a\u6587\u732e\u62a5\u9053\u7684zeta\u7535\u52bf\u6765\u4ee3\u5165\u8ba1\u7b97\uff09\u3002\u867d\u7136\u4ecd\u7136\u6ca1\u53d1\u73b0\u4ec0\u4e48\u975e\u5355\u8c03\u7684\u6e29\u5ea6\u4f9d\u8d56\u6027\uff0c\u4f46\u8fd8\u662f\u60f3\u786c\u7740\u5934\u76ae\u5f80\u4e0b\u7b97\uff0c\u9047\u5230\u4e86\u4e00\u4e2a\u65b0\u95ee\u9898\uff0c\u5c31\u662f\u8fd9\u6b21\u5e08\u5f1f\u7528\u7684\u662f\u65e0\u76d0\u7c92\u5b50\u60ac\u6d6e\u6db2\uff0c\u6db2\u4f53\u4e2d\u7684\u79bb\u5b50\u5168\u662f\u7c92\u5b50\u7535\u79bb\u7684\u53cd\u79bb\u5b50\u3002\u6211\u60f3\u4e86\u534a\u5929\u4e0d\u77e5\u9053\u600e\u4e48\u8003\u8651\uff0c\u7ffb\u9605H. Ohshima\u7684Theory of Colloid and Interfacial Electric Phenomena\u4e0d\u6b62\u4e00\u6b21\uff0c\u4e5f\u627e\u4e0d\u5230\u4e66\u4e2d\u54ea\u79cd\u60c5\u51b5\u80fd\u591f\u4e0e\u6211\u7684\u5bf9\u5e94\u3002\u4e8e\u662f\u76f4\u63a5\u5199\u4fe1\u7ed9H. Ohshima\u8bf7\u6559\uff0c\u624d\u4e86\u89e3\u5230\u6211\u7684\u60c5\u51b5\u5c5e\u4e8esalt-free system\u6216\u8005counterions-only system\u3002\u4ed6\u8fd8\u4ecb\u7ecd\u6211\u770b\u4e86\u76f8\u5173\u7684\u8bba\u6587\u3002\u5176\u5b9e\uff0c\u8fd9\u7bc7\u6587\u7ae0\u5230\u6211\u77e5\u9053\u6b63\u786e\u5bf9\u5e94\u7684\u7269\u7406\u4f53\u7cfb\u65f6\uff0c\u5df2\u7ecf\u62d6\u4e86\u5f88\u4e45\uff0c\u6211\u8001\u677f\u603b\u662f\u89c9\u5f97\u4e00\u7bc7\u6587\u7ae0\u4e0d\u503c\u5f97\u5f04\u8fd9\u4e48\u4e45\u3002\u4f46\u4ed6\u4e0d\u77e5\u9053\uff0c\u4e4b\u6240\u4ee5\u4e45\uff0c\u662f\u56e0\u4e3a\u6211\u6c34\u5e73\u5dee\u3001\u5916\u884c\u3001\u8d70\u5f2f\u8def\u3002\u4ed6\u662f\u7ecf\u8fc7\u826f\u597d\u7684\u7814\u7a76\u751f\u8bad\u7ec3\u7684\u7814\u7a76\u8005\uff0c\u6709\u4ed6\u64c5\u957f\u7684\u4e13\u4e1a\uff0c\u5728\u4ed6\u64c5\u957f\u7684\u9886\u57df\u5185\uff0c\u80fd\u591f\u4e0d\u8d70\u4f4e\u7ea7\u7684\u5f2f\u8def\u3002\u800c\u6211\u6ca1\u6709\u4ec0\u4e48\u505a\u7269\u7406\u5e94\u6709\u7684\u7406\u8bba\u57fa\u7840\uff0c\u5c31\u4f1a\u8d70\u5f2f\u8def\u3002\u6240\u4ee5\uff0c\u5b66\u5230\u4e86\u6b63\u786e\u7684\u77e5\u8bc6\u4e4b\u540e\uff0c\u7518\u613f\u518d\u82b1\u4e00\u500d\u7684\u65f6\u95f4\u91cd\u65b0\u6309\u7167\u6b63\u786e\u7684\u6a21\u578b\u53bb\u8ba1\u7b97\u3002\u7ed3\u679c\u53d1\u73b0\uff0c\u901a\u8fc7\u5b9e\u9a8c\u6d4b\u5f97\u7684\u7c92\u5b50\u8868\u9762\u7279\u6027\uff0c\u518d\u6b63\u786e\u8003\u8651\u53cd\u79bb\u5b50\u51dd\u805a\uff0c\u5c31\u6070\u597d\u80fd\u9884\u6d4b\u51fa\u975e\u5355\u8c03\u7684\u6e29\u5ea6\u4f9d\u8d56\u6027\u3002\u8fd9\u662f\u8ba9\u6211\u5f88\u5174\u594b\u7684\u7ed3\u679c\u3002\u53ef\u662f\u4e00\u5f00\u59cb\u6295\u8fc7Langmuir\u548cSoft Matter\u90fd\u88ab\u79d2\u62d2\u4e86\uff0c\u5f88\u53d7\u632b\u3002\u540e\u6765\u8fd8\u662f\u6295J. Colloid Interf. Sci.\u53cd\u800c\u83b7\u5f97\u4e86\u597d\u8bc4\u3002\u8fd9\u6bb5\u8fc7\u7a0b\u8ba9\u6211\u76f8\u4fe1\uff0c\u8bba\u6587\u5c31\u5e94\u8be5\u6295\u5230\u9886\u57df\u76f8\u7b26\u7684\u671f\u520a\uff0c\u4e00\u70b9\u4e5f\u4e0d\u8981\u8ffd\u6c42\u5f71\u54cd\u56e0\u5b50\u548cJCR\u5206\u533a\u3002\u56e0\u4e3a\u53ea\u6709\u5c3d\u53ef\u80fd\u5bf9\u53e3\u7684\u540c\u884c\u624d\u6709\u5f97\u61c2\u4f60\u7684\u5de5\u4f5c\uff0c\u7406\u89e3\u4f60\u5de5\u4f5c\u7684\u91cd\u8981\u6027\uff0c\u7ed9\u4e88\u6709\u5efa\u8bbe\u6027\u7684\u610f\u89c1\u5e76\u5efa\u8bae\u53d1\u8868\u3002\u521a\u521a\u53d1\u8868\u7684\u5de5\u4f5c\uff0c\u5219\u662f\u53c8\u5b66\u77402013\u5e74\u7684\u90a3\u7bc7Soft Matter\u90a3\u6837\uff0c\u628a\u521a\u505a\u8fc7\u52a8\u529b\u5b66\u66f2\u7ebf\u53e0\u52a0\u7684\u4f53\u7cfb\uff0c\u518d\u505a\u4e00\u6b21\u7c98\u5f39\u8c31\u53e0\u52a0\u3002\u8fd9\u5728\u5b9e\u9a8c\u4e0a\u5b9e\u5728\u662f\u7eaf\u7cb9\u7684\u91cd\u590d\uff0c\u800c\u4e14\u8ddf2013\u5e74\u7684\u60c5\u51b5\u4e00\u6837\uff0c\u6211\u4ecd\u7136\u65e0\u6cd5\u5229\u7528schematic MCT\u6a21\u578b\u5bf9\u7c98\u5f39\u8c31\u8fdb\u884c\u7406\u8bba\u8ba1\u7b97\u6bd4\u8f83\uff0c\u6ca1\u529e\u6cd5\u7a81\u7834\u3002\u4f46\u662f\uff0c\u8fd9\u65f6\u6211\u6070\u597d\u770b\u5230\u4e86H. Winter\u7684\u4e00\u7bc7\u8bba\u6587\uff0c\u63d0\u9192\u6211\u867d\u7136\u4e0d\u80fd\u4ece\u7b2c\u4e00\u6027\u539f\u7406\u6a21\u578b\u53bb\u8ba1\u7b97\u7c98\u5f39\u8c31\uff0c\u81f3\u5c11\u53ef\u4ee5\u7528\u552f\u8c61\u6a21\u578b\u62df\u5408\u51fa\u4e00\u4e2a\u8c31\u6765\u7814\u7a76\u3002\u4e8e\u662f\u5c31\u5bf9\u7ed3\u679c\u8fdb\u884c\u4e86\u8bd5\u9a8c\uff0c\u53d1\u73b0\u5728\u6211\u7684\u7ed3\u679c\u4e2d\u5c31\u6709\u6240\u8c13\u7684\u51dd\u80f6\u5230\u73bb\u7483\u7684rheological inversion\u3002\u8fd9\u4e5f\u662f\u4ee4\u6211\u89c9\u5f97\u6709\u8da3\u7684\u7ed3\u679c\uff0c\u800c\u4e14\u7ec8\u4e8e\u4f7f\u8fd9\u90e8\u5206\u5de5\u4f5c\u4e0d\u518d\u6d41\u4e8e\u7b80\u5355\u91cd\u590d\u5df2\u6709\u5de5\u4f5c\u4e86\u3002\u7531\u4e8e\u662f\u7d27\u63a5\u7740\u505a\u7684\uff0c\u4e8e\u662f\u4e5f\u60f3\u518d\u6295\u540c\u4e00\u4e2a\u671f\u520a\uff0c\u4ee5\u4e3a\u5c31\u4f1a\u987a\u5229\u53d7\u5ba1\uff0c\u7ed3\u679c\u88ab\u79d2\u62d2\uff0c\u5341\u5206\u53d7\u632b\uff0c\u6295Colloids Surf. A\u3002\u56e0\u4e3a\u6211\u4e4b\u524d\u6709\u53e6\u5916\u4e00\u4e9b\u5b9e\u9a8c\u5de5\u4f5c\u51e0\u6b21\u6295\u4e0d\u51fa\u53bb\u6700\u540e\u90fd\u6295\u5230Colloids Surf. A\u89e3\u51b3\u7684\u3002\u8fd9\u6b21\u53ea\u597d\u53c8\u5982\u6cd5\u6ce1\u5236\u3002\u8fd8\u5728\u9001\u5ba1\u7684\u8fc7\u7a0b\u4e2d\uff0c\u6211\u53c2\u52a0\u4e86\u7f8e\u56fd\u6d41\u53d8\u5b66\u4f1a\uff0c\u5728Baltimore\u89c1\u5230\u4e86H. Winter\u672c\u4eba\u3002\u6211\u5411\u4ed6\u63cf\u8ff0\u4e86\u6211\u5bf9\u4ed6\u5de5\u4f5c\u7684\u5f15\u7528\uff0c\u4ed6\u5f88\u611f\u5174\u8da3\u3002\u4e8e\u662f\uff0c\u6211\u8868\u8fbe\u4e86\u76ee\u524d\u8fd9\u4e2a\u5de5\u4f5c\u7684\u6295\u7a3f\u72b6\u6001\uff0c\u610f\u601d\u5c31\u662f\u6c42\u4ed6\u5e2e\u5fd9\u3002\u4ed6\u7ed9\u6211\u975e\u5e38nice\u7684\u56de\u590d\u3002\u73b0\u5728\u8fd8\u662f\u987a\u5229\u53d1\u8868\u4e86\uff0c\u6211\u53ef\u4ee5\u544a\u8bc9\u4ed6\u8fd9\u4e00\u6d88\u606f\u3002\u5728\u4ee5\u4e0a\u4e24\u4e09\u5e74\u5bf9Laponite\u7684\u7814\u7a76\u8fc7\u7a0b\uff0c\u6211\u975e\u5e38\u5c0f\u5fc3\u5730\u8003\u8651\u4e86\u5b83\u7684\u76f8\u4e92\u4f5c\u7528\u52bf\uff0c\u4e5f\u4ece\u5bf9\u5176\u52a8\u529b\u5b66\u7684\u9884\u6d4b\u7ed3\u679c\u8bc1\u660e\u4e86\u8fd9\u79cd\u8003\u8651\u7684\u5408\u7406\u6027\uff0c\u6211\u7684\u7ed3\u679c\u8bf4\u660e\u522b\u4eba\u8bf4\u662f\u73bb\u7483\u7684Laponite\u4f53\u7cfb\u5176\u5b9e\u662f\u4e0d\u53ef\u9006\u805a\u96c6\u51dd\u80f6\u3002\u4e8e\u662f\uff0c\u4ee5\u524d\u8ba4\u4e3a\u56e0\u4e3a\u662f\u73bb\u7483\u6240\u4ee5\u4e0d\u5947\u602a\u7684time-aging time superposition\u73b0\u8c61\uff0c\u73b0\u5728\u5e94\u7406\u89e3\u4e3a\u4e0d\u53ef\u9006\u805a\u96c6\u51dd\u80f6\uff08\u5373\u5206\u5f62\u56e2\u7c07\u7f51\u7edc\uff09\u4e5f\u6709\u7684glassy behavior\u3002\u800c\u4e14\u6211\u8fd8\u8bc1\u5b9e\u4e86\u81f3\u5c11\u5728Laponite\u4f53\u7cfb\u7406\uff0c\u8fd8\u6709time-X superposition\uff0c\u5176\u4e2dX\u53ef\u7406\u89e3\u4e3a\u5e7f\u4e49\u6e29\u5ea6\u3002\u6211\u5e0c\u671b\u8fd9\u4e9b\u53d1\u73b0\u4e0d\u662fLaponite\u4f53\u7cfb\u7279\u6709\u7684\uff0c\u800c\u662f\u80f6\u4f53\u4f53\u7cfb\u975e\u5e73\u8861\u6001\u7684\u5171\u6027\uff0c\u4e8e\u662f\u6211\u5f00\u59cb\u5accLaponite\u4e0d\u591f\u5178\u578b\uff0c\u8003\u8651\u4f20\u7edf\u7684\u786c\u7403\u5438\u5f15\u4f53\u7cfb\u3002\u5f88\u81ea\u7136\uff0c\u6211\u53c8\u514d\u4e0d\u4e86\u4e00\u756a\u6587\u732e\u5b66\u4e60\u3002\u5438\u5f15\u529b\u7684\u6a21\u578b\u5b9e\u9a8c\u4f53\u7cfb\u65e0\u975e\u5c31\u662f\u63a5\u6709octadecyl\u7684\u4e8c\u6c27\u5316\u7845\u7c92\u5b50\u60ac\u6d6e\u6db2\u548c\u63a5\u6709PHSA\u7684PMMA\u7c92\u5b50\u60ac\u6d6e\u6db2\uff0c\u524d\u8005\u662f\u9760\u53d8\u6e29\u6539\u53d8\u6eb6\u5242\u6027\u8d28\u5f15\u5165\u5438\u5f15\u529b\u7684\uff0c\u8fd1\u4f3c\u4e8eBaxter's sticky ball\u52bf\uff0c\u540e\u8005\u5219\u662f\u901a\u8fc7\u6dfb\u52a0\u7ebf\u5f62PS\u5f15\u5165\u6392\u7a7a\u529b\uff0c\u5bf9\u5e94\u7684\u662fAsakawa-Oosawa\u52bf\u3002\u6211\u770b\u4e86\u5927\u91cf\u8ba1\u7b97\u673a\u6a21\u62df\u548c\u5b9e\u9a8c\u7ed3\u679c\uff0c\u4e8e\u662f\u5411\u82f1\u56fd\u7684\u5b9e\u9a8c\u5ba4\u8d2d\u4e70\u4e86\u4e0d\u5c11PMMA\u7c92\u5b50\uff0c\u7ed3\u679c\u53d1\u73b0\uff0c\u8fd9\u79cd\u4f53\u7cfb\u5f62\u6210\u7684\u51dd\u80f6\u7f51\u7edc\u975e\u5e38\u5f31\u3002\u660e\u660e\u5728\u663e\u5fae\u955c\u4e0b\u770b\u5230\u4e86\u5f88\u597d\u7684\u51dd\u80f6\u7f51\u7edc\uff0c\u5b8f\u89c2\u6837\u54c1\u5374\u50cf\u6c34\u4e00\u6837\u5bb9\u6613\u6d41\u52a8\uff0c\u4e1d\u6beb\u65e0\u6cd5\u652f\u6301\u81ea\u8eab\u91cd\u91cf\u3002\u4e8e\u662f\u6ca1\u6709\u7ee7\u7eed\u8fdb\u884c\u6d41\u5b66\u6d4b\u8bd5\uff0c\u8fd9\u4ef6\u4e8b\u60c5\u5c31\u6401\u7f6e\u4e86\u3002\u4e5f\u662f\u5230\u4e86\u7f8e\u56fd\u6d41\u53d8\u5b66\u4f1a\uff0c\u5728\u8ddf\u505a\u6a21\u62df\u7684R. Zia\u4ea4\u6d41\u88ab\u6253\u8138\u4e4b\u540e\uff0c\u91cd\u65b0\u8003\u8651\u4e86\u4e00\u4e0b\uff0c\u624d\u53d1\u73b0\uff0c\u6a21\u62df\u548c\u5b9e\u9a8c\u62a5\u9053\u70ed\u706b\u671d\u5929\u7684\u77ed\u7a0b\u5438\u5f15\u786c\u7403\u4f53\u7cfb\uff0c\u8ddf\u6211\u5173\u5fc3\u7684Laponite\u5b8c\u5168\u662f\u4e24\u56de\u4e8b\u3002Laponite\u8fd9\u79cd\u9ad8\u5e26\u7535\u7684\u6c34\u5206\u6563\u80f6\u4f53\u7c92\u5b50\u662fDLVO\u52bf\uff0c\u662f\u901a\u8fc7\u8c03\u8282\u4e00\u4e2a\u6392\u65a5\u52bf\u5792\u6765\u95f4\u63a5\u8c03\u8282\u5f15\u529b\u7684\u4f5c\u7528\u8303\u56f4\u7684\uff0c\u800c\u4e14\u77ed\u7a0b\u5f15\u529b\u548c\u957f\u7a0b\u65a5\u529b\u5f80\u5f80\u540c\u65f6\u5b58\u5728\u3002\u57fa\u4e8e\u8fd9\u6837\u7684\u4f5c\u7528\u52bf\u7684\u6a21\u62df\u5de5\u4f5c\u5f88\u5c11\uff0c\u4e5f\u5c11\u6709\u6a21\u578b\u5b9e\u9a8c\u4f53\u7cfb\u4e0e\u4e4b\u5bf9\u5e94\uff0c\u53ea\u6709\u7f57\u9a6c\u5927\u5b66\u7684E. Zaccarelli\u505a\u8fc7\u4e00\u4e9b\u6a21\u62df\u5de5\u4f5c\u3002\u7ecf\u8fc7\u4e0e\u5979\u6240\u91c7\u7528\u7684\u52bf\u51fd\u6570\u5bf9\u6bd4\uff0c\u6211\u5b9e\u9a8c\u7528\u7684Laponite\u4f53\u7cfb\u7684\u5f15\u529b\u5f3a\u5ea6\u9ad8\u8fbe24kBT\uff0c\u5df2\u7ecf\u4e0d\u80fd\u8ddf\u77ed\u7a0b\u5438\u5f15\u52bf\u4f53\u7cfb\u7684\u675f\u7f1a\u76f8\u5206\u79bb\u51dd\u80f6\u6bd4\u4e86\uff0c\u800c\u662f\u5178\u578b\u7684\u5206\u5f62\u56e2\u7c07\u51dd\u80f6\u3002\u5b83\u5728\u975e\u7ebf\u6027\u6d41\u52a8\u4e0b\u7684\u7ed3\u6784\u548c\u52a8\u6001\uff0c\u6709\u5f85\u8fdb\u4e00\u6b65\u7684\u6a21\u62df\u5de5\u4f5c\u6765\u7ed9\u51fa\u3002\u5927\u90e8\u5206\u5df2\u6709\u62a5\u9053\u4e0d\u80fd\u4f5c\u4e3a\u53c2\u8003\u3002\u4e5f\u662f\u5728\u8fd9\u6bb5\u601d\u8003\u7684\u8fc7\u7a0b\u4e2d\uff0c\u6211\u6bd4\u8f83\u7cfb\u7edf\uff08\u4f46\u7c97\u7565\uff09\u5730\u7ffb\u9605\u4e86\u5e73\u8861\u6001\u7edf\u8ba1\u7269\u7406\u548c\u7279\u522b\u662f\u80f6\u4f53\u7edf\u8ba1\u7269\u7406\u7684\u4e66\uff0c\u5bf9\u80f6\u4f53\u7269\u7406\u76ee\u524d\u7684\u8ba4\u8bc6\u73b0\u72b6\u7406\u89e3\u4e5f\u66f4\u6e05\u6670\u4e86\u3002\u5176\u5b9e\u9664\u4e86Laponite\u76f8\u5173\u7684\u7814\u7a76\u5de5\u4f5c\u4e4b\u5916\uff0c\u6211\u5176\u4ed6\u51e0\u7bc7\u53d1\u8868\u7684\u5de5\u4f5c\uff0c\u6863\u6b21\u548c\u610f\u4e49\u66f4\u52a0\u4f4e\uff0c\u4f46\u5b66\u4e60\u91cf\u540c\u6837\u5f88\u5927\u30022013\u7684\u4e73\u6db2\u7684\u5de5\u4f5c\u4e3a\u4e86\u589e\u52a0\u5de5\u4f5c\u91cf\uff0c\u4e5f\u662f\u52a0\u5165\u4e86\u6a21\u578b\u8ba1\u7b97\uff0c\u4e3a\u6b64\u6211\u67e5\u9605\u4e86\u4e73\u6db2\u548c\u6ce1\u6cab\u7684\u6574\u4e2a\u7269\u7406\u7814\u7a76\u5386\u53f2\uff0c\u6700\u540e\u7528\u4e0a\u7684\u4e5f\u5c31\u662f\u4e00\u4e2a\u6700\u7b80\u5355\u7684\u6a21\u578b\uff1b\u540c\u5e74\u7684\u5fae\u51dd\u80f6Jamming\u7684\u5de5\u4f5c\uff0c\u4e5f\u662f\u9047\u5230\u4e86\u6e29\u5ea6\u548c\u4f53\u79ef\u5206\u6570\u76f8\u8026\u5408\u7684\u56f0\u60d1\uff0c\u601d\u8003\u4e86\u5f88\u4e45\u624d\u53d1\u73b0\u5bf9\u8fd9\u79cd\u5fae\u51dd\u80f6\u4e0d\u80fd\u4f7f\u7528\u4f53\u7cfb\u5206\u6570\u4f5cJamming\u76f8\u56fe\u7684\u5750\u6807\u8f74\u3002\u8fd8\u6709\u4e00\u7bc7\u53d1\u8868\u5728Chin. J. Polym.\u2026","rel":"","context":"In &quot;\u5173\u4e8e\u79d1\u7814\u7684\u6587\u7ae0&quot;","block_context":{"text":"\u5173\u4e8e\u79d1\u7814\u7684\u6587\u7ae0","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/%e5%85%b3%e4%ba%8e%e7%a7%91%e7%a0%94%e7%9a%84%e6%96%87%e7%ab%a0"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":9108,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/9108","url_meta":{"origin":9338,"position":3},"title":"Leon B. Lucy","author":"Andrew","date":"2024\u5e7412\u670814\u65e5","format":false,"excerpt":"[latexpage] \u80cc\u666f \u5728\u6570\u503c\u8ba1\u7b97\u9886\u57df\u6709\u4e00\u4e2a\u6bd4\u8f83\u77e5\u540d\u7684\u53bb\u5377\u79ef\u8fed\u4ee3\u7b97\u6cd5\u2014\u2014Lucy--Richardson\u7b97\u6cd5\uff0c\u5b83\u88ab\u540e\u4e16\u96c6\u4e2d\u7528\u4e8e\u56fe\u50cf\u53bb\u566a\u3002\u4f8b\u5982\uff0cMATLAB\u7684Image Processing Toolbox\u6709\u4e00\u4e2adeconvlucy\u547d\u4ee4\uff0c\u58f0\u79f0\u5c31\u662f\u7528Lucy--Richardson\u7b97\u6cd5\u5bf9\u7ed9\u5b9a\u56fe\u7247\uff08\u50cf\u7d20\u77e9\u9635\uff09\u4f5c\u7ed9\u5b9a\u70b9\u6269\u6563\u51fd\u6570\u7684\u53bb\u566a\u3002 \u4f46\u662f\uff0cLucy\u7684\u539f\u6587\u6240\u9488\u5bf9\u7684\u95ee\u9898\uff0c\u6bd4\u73b0\u5728\u4e00\u822c\u5e94\u7528\u66f4\u5e7f\u4e49\u3002\u5047\u5b9a$X$\u662f\u4e00\u4e2a\u8fde\u7eed\u53d6\u503c\u968f\u673a\u53d8\u91cf\u3002\u5b83\u7406\u5e94\u6309\u7167\u5206\u5e03\u5bc6\u5ea6\u51fd\u6570$\\phi\\left(x\\right)$\u3002\u6211\u4eec\u60f3\u628a$\\phi\\left(x\\right)$\u89c6\u4e3a\u67d0\u79cd\u7b80\u5355\u5206\u5e03$P\\left(x\\middle|\\xi\\right)$\u6309\u6743\u91cd\u8c31$\\psi\\left(\\xi\\right)$\u7684\u53e0\u52a0\u7ed3\u679c\uff1a \\begin{equation}\\label{eq:original_phi_expression}\\phi\\left(x\\right)=\\int P\\left(x\\middle|\\xi\\right)\\psi\\left(\\xi\\right)\\mathrm{d}\\xi\\end{equation} \u800c\u6211\u4eec\u60f3\u5f97\u77e5\u7ed9\u5b9a\u5f62\u5f0f\u7684\u6838$P\\left(x\\middle|\\xi\\right)$\u6240\u5bf9\u5e94\u7684\u6743\u91cd\u8c31$\\psi\\left(\\xi\\right)$\u3002\u5728\u8fd9\u91cc\uff0c$\\xi$\u662f\u6838\u51fd\u6570$P$\u7684\u53c2\u6570\u3002\u6bd4\u5982\uff0c\u6211\u4eec\u5173\u5fc3\u9ad8\u65af\u6838\u51fd\u6570\u7684\u60c5\u51b5\uff0c\u90a3\u4e48$P\\left(x\\middle|\\xi\\right)$\u53ef\u80fd\u662f\u4ee5$\\xi$\u4e3a\u6807\u51c6\u5dee\u7684\u9ad8\u65af\u51fd\u6570 \\[P\\left(x\\middle|\\xi\\right)=\\frac{1}{\\sqrt{2\\pi\\xi^2}}\\exp\\left[-\\frac{\\left(x-\\mu\\right)^2}{2\\xi^2}\\right]\\] \u5728\u56fe\u50cf\u53bb\u566a\u7684\u4e0a\u4e0b\u6587\u4e2d\uff0c\u4ee5deconvlucy\u4e3a\u4f8b\uff0c\u6838\u51fd\u6570$P\\left(x\\right)$\u662f\u4e00\u4e2a\u56fa\u5b9a\u53c2\u6570$\\xi$\u7684\u51fd\u6570\uff0c\u4e14$\\xi$\u7684\u53d6\u503c\u8303\u56f4\uff08\u5373$P\\left(x\\right)$\u7684\u201c\u5bbd\u5ea6\u201d\uff09\u8fdc\u7a84\u4e8e$x$\u7684\u8303\u56f4\uff08\u5728\u56fe\u50cf\u8bed\u5883\u4e2d\u662f\u56fe\u50cf\u7684\u5927\u5c0f\uff09\u3002\u4f46\u5728Lucy\u539f\u6587\u7684\u8bed\u5883\u4e2d\uff0c$\\phi\\left(x\\right)$\u3001$P\\left(x\\middle|\\xi\\right)$\u548c$\\psi\\left(\\xi\\right)$\u90fd\u662f\u652f\u6491\u4e3a\u6574\u4e2a\u5b9e\u6570\u7684\u5206\u5e03\u5bc6\u5ea6\u51fd\u6570\u3002\u53ef\u4ee5\u8bf4\uff0c\u56fe\u50cf\u53bb\u566a\u5e94\u7528\uff0c\u53ea\u662fLucy\u539f\u6587\u7b97\u6cd5\u7684\u5176\u4e2d\u4e00\u4e2a\u5f88\u7279\u6b8a\u7684\u4f8b\u5b50\u3002 \u6570\u503c\u8ba1\u7b97\u7684\u8bbe\u8ba1\u827a\u672f 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