{"id":2759,"date":"2011-03-29T02:48:14","date_gmt":"2011-03-28T18:48:14","guid":{"rendered":"http:\/\/www.andrewsun.net\/panta_rhei\/?p=2759"},"modified":"2011-03-29T23:35:43","modified_gmt":"2011-03-29T15:35:43","slug":"%e8%81%9a%e5%90%88%e7%89%a9%e5%90%b8%e9%99%84%e5%9c%a8%e8%83%b6%e4%bd%93%e7%b2%92%e5%ad%90%e8%a1%a8%e9%9d%a2%e2%80%a6%e2%80%a6","status":"publish","type":"post","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/2759","title":{"rendered":"\u805a\u5408\u7269\u5438\u9644\u5728\u80f6\u4f53\u7c92\u5b50\u8868\u9762\u2026\u2026"},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"2759\">\n<div id=\"attachment_2761\" style=\"width: 310px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2011\/03\/colloid.png\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-2761\" data-attachment-id=\"2761\" data-permalink=\"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/2759\/colloid\" data-orig-file=\"https:\/\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2011\/03\/colloid.png\" data-orig-size=\"403,172\" data-comments-opened=\"1\" 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;}\" data-image-title=\"Colloid dimensions\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;Colloid dimensions&lt;\/p&gt;\n\" data-large-file=\"https:\/\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2011\/03\/colloid.png\" class=\"size-medium wp-image-2761 \" title=\"Colloid dimensions\" src=\"http:\/\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2011\/03\/colloid-300x128.png\" alt=\"Colloid dimensions\" width=\"300\" height=\"128\" srcset=\"https:\/\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2011\/03\/colloid-300x128.png 300w, https:\/\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2011\/03\/colloid.png 403w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><p id=\"caption-attachment-2761\" class=\"wp-caption-text\">Colloid dimensions<\/p><\/div>\n<p>\u60ac\u6d6e\u5728\u6c34\u4e2d\u7684\u80f6\u4f53\u7c92\u5b50\u7684\u4f5c\u7528\u52bf<em>U<\/em><sub>tot<\/sub>=<em>U<\/em><sub>vdW<\/sub>+<em>U<\/em><sub>d<\/sub>+<em>U<\/em><sub>steric<\/sub>\u3002\u5176\u4e2d\uff0cvan der Waals\u52bf\u80fd<em>U<\/em><sub>vdW<\/sub>\u5199\u6210\uff1a<\/p>\n<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=U_%5Ctextup%7BvdW%7D%5Cleft%28h%5Cright%29%3D-%5Cfrac%7BA%7D%7B12%7D%5Cleft%5B%5Cfrac%7B1%7D%7Bx%5Cleft%28x%2B2+%5Cright+%29%7D%2B%5Cfrac%7B1%7D%7B%5Cleft%28x%2B1+%5Cright+%29%5E2%7D%2B2%5Cln%7B%5Cfrac%7Bx%5Cleft%28x%2B2%5Cright%29%7D%7B%5Cleft%28x%2B1%5Cright+%29%5E2%7D%7D%5Cright%5D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"U_&#92;textup{vdW}&#92;left(h&#92;right)=-&#92;frac{A}{12}&#92;left[&#92;frac{1}{x&#92;left(x+2 &#92;right )}+&#92;frac{1}{&#92;left(x+1 &#92;right )^2}+2&#92;ln{&#92;frac{x&#92;left(x+2&#92;right)}{&#92;left(x+1&#92;right )^2}}&#92;right]\" class=\"latex\" \/>\n<p>\u5176\u4e2d<em>x<\/em>=<em>h<\/em>\/2<em>a<\/em>\u3002<\/p>\n<p>\u53cc\u7535\u5c42\u52bf\uff1a<\/p>\n<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=U_%5Ctextup%7Bd%7D%5Cleft%28h%5Cright%29%3D2%5Cpi%5Cepsilon+a%5Cpsi_%7B%5Cdelta%7D%5E%7B2%7D%5Cexp%5Cleft%28%7B-%5Ckappa+h%7D%5Cright%29&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"U_&#92;textup{d}&#92;left(h&#92;right)=2&#92;pi&#92;epsilon a&#92;psi_{&#92;delta}^{2}&#92;exp&#92;left({-&#92;kappa h}&#92;right)\" class=\"latex\" \/>\n<p>\u5438\u9644\u805a\u5408\u7269\u7684\u4f4d\u963b\u52bf\uff1a<\/p>\n<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=U_%5Ctextup%7Bsteric%7D%5Cleft%28h%5Cright%29%3D%5Cfrac%7B4+%5Cpi+k_%5Ctextup%7BB%7D+T+c_%5Ctextup%7Babs%7D%5E2%7D%7B3V_1+%5Crho_2%5E2%7D%5Cleft%28%5Cfrac%7B1%7D%7B2%7D-%5Cchi_1%5Cright%29%5Cleft%28h-%5Cfrac%7B%5Cdelta%7D%7B2%7D%5Cright%29%5E2%5Cleft%283a%2B2h%2B%5Cfrac%7B%5Cdelta%7D%7B2%7D%5Cright%29&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"U_&#92;textup{steric}&#92;left(h&#92;right)=&#92;frac{4 &#92;pi k_&#92;textup{B} T c_&#92;textup{abs}^2}{3V_1 &#92;rho_2^2}&#92;left(&#92;frac{1}{2}-&#92;chi_1&#92;right)&#92;left(h-&#92;frac{&#92;delta}{2}&#92;right)^2&#92;left(3a+2h+&#92;frac{&#92;delta}{2}&#92;right)\" class=\"latex\" \/>\n<p>\u5176\u4e2d<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=c_%5Ctextup%7Babs%7D%5Blatex%5D%E6%98%AF%E8%81%9A%E5%90%88%E7%89%A9%E7%9A%84%E5%90%B8%E9%99%84%E9%87%8F%EF%BC%8C%E8%B7%9F%E8%81%9A%E5%90%88%E7%89%A9%E7%9A%84%E6%8A%95%E6%96%99%E6%B5%93%E5%BA%A6%E6%9C%89%E5%85%B3%E3%80%82%E8%BF%99%E6%98%AF%E4%BD%93%E7%B3%BB%E7%9A%84%E5%94%AF%E4%B8%80%E5%8F%AF%E8%B0%83%E5%8F%82%E6%95%B0%EF%BC%8C%E5%8D%B3%5Blatex%5DU_%5Ctextup%7Btot%7D%3DU_%5Ctextup%7Btot%7D%5Cleft%28h%3Bc_%5Ctextup%7Babs%7D%5Cright%29&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"c_&#92;textup{abs}[latex]\u662f\u805a\u5408\u7269\u7684\u5438\u9644\u91cf\uff0c\u8ddf\u805a\u5408\u7269\u7684\u6295\u6599\u6d53\u5ea6\u6709\u5173\u3002\u8fd9\u662f\u4f53\u7cfb\u7684\u552f\u4e00\u53ef\u8c03\u53c2\u6570\uff0c\u5373[latex]U_&#92;textup{tot}=U_&#92;textup{tot}&#92;left(h;c_&#92;textup{abs}&#92;right)\" class=\"latex\" \/>\u3002<\/p>\n<p>\u6839\u636eFuch\u7684\u5b9a\u4e49\uff0c\u5f71\u54cd\u80f6\u4f53\u805a\u96c6\u901f\u7387\u7684stability ratio\uff1a<\/p>\n<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=W%5Cleft%28c_%5Ctextup%7Babs%7D%5Cright%29%3D2a%5Cint_%7B0%7D%5E%7B%5Cinfty%7D%5Cfrac%7B%5Cexp%5Cleft%5B%5Cfrac%7BU_%5Ctextup%7Btot%7D%5Cleft%28h%3Bc_%5Ctextup%7Babs%7D%5Cright%29%7D%7Bk_%5Ctextup%7BB%7DT%7D%5Cright%5D%7D%7B%5Cleft%28h%2B2a%5Cright%29%5E2%7Ddh&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"W&#92;left(c_&#92;textup{abs}&#92;right)=2a&#92;int_{0}^{&#92;infty}&#92;frac{&#92;exp&#92;left[&#92;frac{U_&#92;textup{tot}&#92;left(h;c_&#92;textup{abs}&#92;right)}{k_&#92;textup{B}T}&#92;right]}{&#92;left(h+2a&#92;right)^2}dh\" class=\"latex\" \/>\n<p>\u73b0\u5728\uff0c\u6211\u9700\u8981\u5b66\u4e60\u7684\u662f\u5982\u4f55\u8ba1\u7b97<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cdelta%5Cleft%28c_%5Ctextup%7Babs%7D%5Cright%29&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;delta&#92;left(c_&#92;textup{abs}&#92;right)\" class=\"latex\" \/>\u3002\u4e0b\u4e00\u6b65\u5219\u662f\u8ba1\u7b97<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=W%5Cleft%28c_%5Ctextup%7Babs%7D%5Cright%29&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"W&#92;left(c_&#92;textup{abs}&#92;right)\" class=\"latex\" \/>\u3002<\/p>\n<h3>\u4e00\u4e9b\u6570\u5b66\u51c6\u5907<\/h3>\n<p>\u6c42\u5b9a\u79ef\u5206<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=I%3D%5Cint_0%5E%7B%5Cinfty%7D%5Cexp%5Cleft%5Bf%5Cleft%28x%5Cright%29%5Cright%5Ddx&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"I=&#92;int_0^{&#92;infty}&#92;exp&#92;left[f&#92;left(x&#92;right)&#92;right]dx\" class=\"latex\" \/>\uff0c\u7528\u5206\u90e8\u79ef\u5206\u6cd5\uff1a<\/p>\n<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=I%3Dx%5Cexp%5Cleft%5Bf%5Cleft%28x%5Cright%29%5Cright%5D%7C_0%5E%7B%5Cinfty%7D-%5Cint_0%5E%7B%5Cinfty%7Dx%5Cexp%5Cleft%5Bf%5Cleft%28x%5Cright%29%5Cright%5Df%27%5Cleft%28x%5Cright%29dx&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"I=x&#92;exp&#92;left[f&#92;left(x&#92;right)&#92;right]|_0^{&#92;infty}-&#92;int_0^{&#92;infty}x&#92;exp&#92;left[f&#92;left(x&#92;right)&#92;right]f&#039;&#92;left(x&#92;right)dx\" class=\"latex\" \/>\n<p>\u4e0a\u5f0f\u7684\u7b2c\u4e00\u9879\u5c31\u5f88\u96be\u3002<\/p>\n<!-- kcite active, but no citations found -->\n<\/div> <!-- kcite-section 2759 -->","protected":false},"excerpt":{"rendered":"<p>\u60ac\u6d6e\u5728\u6c34\u4e2d\u7684\u80f6\u4f53\u7c92\u5b50\u7684\u4f5c\u7528\u52bfUtot=UvdW+Ud+Usteric\u3002\u5176\u4e2d\uff0cvan der Waals\u52bf\u80fdUvdW\u5199\u6210\uff1a \u5176\u4e2dx=h\/2a\u3002 \u53cc\u7535\u5c42\u52bf\uff1a \u5438\u9644\u805a\u5408\u7269\u7684\u4f4d\u963b\u52bf\uff1a \u5176\u4e2d\u3002 \u6839\u636eFuch\u7684\u5b9a\u4e49\uff0c\u5f71\u54cd\u80f6\u4f53\u805a\u96c6\u901f\u7387\u7684stability ratio\uff1a \u73b0\u5728\uff0c\u6211\u9700\u8981\u5b66\u4e60\u7684\u662f\u5982\u4f55\u8ba1\u7b97\u3002\u4e0b\u4e00\u6b65\u5219\u662f\u8ba1\u7b97\u3002 \u4e00\u4e9b\u6570\u5b66\u51c6\u5907 \u6c42\u5b9a\u79ef\u5206\uff0c\u7528\u5206\u90e8\u79ef\u5206\u6cd5\uff1a \u4e0a\u5f0f\u7684\u7b2c\u4e00\u9879\u5c31\u5f88\u96be\u3002<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","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":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[212],"tags":[34],"class_list":["post-2759","post","type-post","status-publish","format-standard","hentry","category-tagged","tag-colloid"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1aPvF-Iv","jetpack-related-posts":[{"id":2498,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/2498","url_meta":{"origin":2759,"position":0},"title":"\u6587\u7ae0\u7684Discussion\u90e8\u5206","author":"Andrew","date":"2011\u5e743\u670813\u65e5","format":false,"excerpt":"\u6458\u8981\uff1a\u6eb6\u89e3\u5728\u80f6\u4f53\u60ac\u6d6e\u6db2\u4e2d\u7684\u805a\u5408\u7269\uff0c\u5982\u679c\u5438\u9644\u5728\u80f6\u4f53\u7c92\u5b50\u7684\u8868\u9762\uff0c\u7531\u4e8e\u589e\u52a0\u4e86\u65a5\u529b\u7684\u4f5c\u7528\u8ddd\u79bb\uff0c\u63d0\u9ad8\u4e86\u7c92\u5b50\u95f4\u4f5c\u7528\u52bf\u5792Umax\uff0c\u7c92\u5b50\u805a\u96c6\u901f\u7387\u4f1a\u964d\u4f4e\u3002\u8fd9\u662f\u5b9a\u6027\u7684\u89e3\u91ca\u3002\u672c\u5b9e\u9a8c\u65e2\u7136\u80fd\u5f97\u5230\u5e73\u79fb\u56e0\u5b50\u968f\u805a\u5408\u7269\u6d53\u5ea6\u7684\u53d8\u5316\u5173\u7cfb\uff0c\u5c31\u60f3\u534a\u5b9a\u91cf\u5730\u89e3\u91ca\u4e00\u4e0b\u3002\u805a\u5408\u7269\u5438\u9644\u5728\u7c92\u5b50\u4e0a\u7684\u4f4d\u963b\u52bf\u51fd\u6570\u5df2\u7ecf\u6709\u6210\u719f\u7684\u7406\u8bba\u6a21\u578b\u3002\u7c92\u5b50\u805a\u96c6\u901f\u7387\u4e0e\u4f5c\u7528\u52bf\u5792\u4e4b\u95f4\u7684\u5173\u7cfb\u4e5f\u53ef\u4ee5\u901a\u8fc7Smoluchowski\u65b9\u7a0b\u548cstability ratio\u6765\u63cf\u8ff0\u3002\u96be\u70b9\u5728\u4e8e\u8bf4\u660e\u4e24\u4e2a\u5173\u7cfb\uff1a\u4e00\u662f\u5e73\u79fb\u56e0\u5b50\u4e0eUmax\u7684\u5173\u7cfb\uff0c\u4e8c\u662f\u8981\u4ece\u7c92\u5b50\u7684\u603b\u52bf\u80fd\u51fd\u6570U=U\u8303+U\u7535+U\u805a\u5408\u7269\u7684\u8868\u8fbe\u5f0f\u6c42\u6781\u5927\u503c\uff0c\u83b7\u5f97Umax\u4e0e\u805a\u5408\u7269\u5438\u9644\u91cf\u0393\u6216\u6dfb\u52a0\u91cfcp\u7684\u5173\u7cfb\u3002\u4ee5\u4e0b\u662f\u6211\u67e5\u9605\u8d44\u6599\u540e\u7684\u603b\u7ed3\uff0c\u611f\u89c9\u6ca1\u6709\u80fd\u529b\u518d\u5b8c\u5584\u4e86\u3002 1 Laponite\u7684\u805a\u96c6\u901f\u7387 \u80f6\u4f53\u7c92\u5b50\u7684\u805a\u96c6\uff08coagulation\uff09\u8fc7\u7a0b\u53ef\u5206\u4e3a\u6269\u6563\u63a7\u5236\u578b\u548c\u53cd\u5e94\u63a7\u5236\u578b\u3002\u6269\u6563\u63a7\u5236\u578b\u662f\u7531\u4e8e\u7c92\u5b50\u4e4b\u95f4\u805a\u96c6\u53cd\u5e94\u5341\u5206\u5feb\uff08\u6d3b\u5316\u80fd\u4e3a\u96f6\uff09\uff0c\u56e0\u6b64\u53cd\u5e94\u901f\u7387\u57fa\u672c\u53ea\u53d7\u5236\u4e8e\u78b0\u649e\u673a\u7387\u3002\u6839\u636e\u5e03\u6717\u8fd0\u52a8\u7684\u516c\u5f0f\uff0c\u53ef\u4ee5\u5199\u51fa\u5176\u901f\u7387\u5e38\u6570\u3002\u800c\u53cd\u5e94\u63a7\u5236\u578b\u5219\u662f\u7531\u4e8e\u7c92\u5b50\u95f4\u6210\u529f\u5730\u7ed3\u5408\u9700\u8981\u514b\u670d\u80fd\u5792Umax\u56e0\u800c\u5e76\u975e\u6240\u6709\u78b0\u649e\u4e8b\u4ef6\u90fd\u80fd\u6210\u529f\u53d1\u751f\u805a\u96c6\uff0c\u5176\u901f\u7387\u5e38\u6570\u5c31\u8981\u6bd4\u4ec5\u53d7\u6269\u6563\u63a7\u5236\u7684kD\u5c0f\u3002\u5b9a\u4e49stability ratio\uff0cW = kD \/ kR\uff0c\u4ee5\u8868\u5f81\u53cd\u5e94\u96be\u5ea6\uff08Umax\uff09\u5bf9\u805a\u96c6\u8fc7\u7a0b\u5feb\u6162\u7684\u963b\u788d\u7a0b\u5ea6\uff0c\u5219W\u5e94\u8be5\u8ddfUmax\u6709\u5173\uff08\u4ee5\u4e0a\u53ef\u53c2\u89c1T. Cosgrove\u7b49\u5408\u7f16\u7684\u4e66[1]\uff09\u3002N. Fuch[2]\u5b9a\u4e49\uff0c\u53ef\u7528\u4e8e\u4eceU(h)\u8ba1\u7b97W\uff0c\u4f46U(r)\u7684\u5f62\u5f0f\u53d6\u51b3\u4e8e\u5177\u4f53\u7684\u805a\u5408\u7269\u5438\u9644\u6a21\u578b\uff08\u5982Scheutjens\u2013Fleer\u7684\u5e73\u5747\u573a\u7406\u8bba\u8fd8\u662fde Gennes\u7684\u6807\u5ea6\u7406\u8bba\uff09\u4e14\u8868\u8fbe\u5f0f\u590d\u6742\uff08\u56e0\u4e3a\u8fd8\u8981\u52a0\u4e0a\u8303\u5fb7\u534e\u52bf\u548c\u9759\u7535\u52bf\uff09\uff0c\u56e0\u6b64\u5b9e\u9645\u4e0a\u5f80\u5f80\u76f4\u63a5\u91c7\u7528W\u7684\u8fd1\u4f3c\u5f0f\u3002\u4f8b\u5982S. Tawari\u7b49\u548cA. Nelson\u7b49[3, 4]\u91c7\u7528\u4ee5\u4e0b\u8868\u8fbe\u5f0f\u6765\u63cf\u8ff0Laponite\u60ac\u6d6e\u6db2\u7684\u8001\u5316\uff1a \u4e0a\u5f0f\u672c\u6765\u662fPrieve and Ruckenstein[5]\u4e3a\u7403\u5f62\u7c92\u5b50\u5bfc\u51fa\u7684\u8fd1\u4f3c\u8868\u8fbe\u5f0f\uff0cLaponite\u4f5c\u4e3a\u975e\u7403\u72b6\u7c92\u5b50\uff0c\u7cfb\u65700.25\u5e94\u8be5\u504f\u5927\uff0c\u4f46\u8fd9\u4e00\u7cfb\u6570\u503c\u7684\u53d8\u5316\u5bf9W\u7684\u5927\u5c0f\u5f71\u54cd\u5f88\u5c0f\uff08\u89c1S. Tawari\u7b49\u7684\u8ba8\u8bba[3]\uff09\uff0c\u5012\u4e5f\u53ef\u4ee5\u4e0d\u53bb\u4fee\u6539\u3002\u5982\u679c\u672c\u6587\u4e5f\u91c7\u7528\u6b64\u5f0f\uff0c\u5219\u6709kR ~ W-1 ~ exp(-Umax\/kBT)\u3002 \u6839\u636eSmoluchowski\u805a\u96c6\u7406\u8bba\u7684\u5047\u8bbe\uff0c\u805a\u96c6\u8fc7\u7a0b\u662f\u4e00\u4e2a\u4e8c\u7ea7\u53cd\u5e94\u63a7\u5236\u805a\u96c62A\u2192P\uff0c\u4ea7\u7269\u751f\u6210\u91cfP\u968f\u65f6\u95f4\u7684\u53d8\u5316\u5173\u7cfb\u662f\uff1a \u5176\u4e2d\uff0cA0\u662f\u53cd\u5e94\u7269\u7684\u91cf\uff08\u4f5c\u4e3a\u7c92\u5b50\u805a\u96c6\u4f53\u7cfb\u5c31\u662f\u521d\u59cb\u7c92\u5b50\u6570\uff09\uff0ck\u662f\u53cd\u5e94\u6570\u7387\u5e38\u6570\uff08\u5373\u524d\u6587\u7684kR\uff09\u3002\u5bf9\u4e8e\u672c\u6587\u7684\u4f53\u7cfb\uff0cPEG\u7684\u6dfb\u52a0\u4f7f\u5f97Laponite\u8001\u5316\u7684\u8fc7\u7a0b\u88ab\u63d0\u524d\uff0c\u5c31\u662f\u7531\u4e8e\u805a\u5408\u7269\u7684\u4f4d\u963b\u4f5c\u7528\uff0c\u589e\u5927\u4e86Umax\u3002\u800c\u4e14Umax\u4e0ePEG\u6d53\u5ea6cp\u6709\u5173\uff0c\u56e0\u800c\u6570\u7387\u5e38\u6570k\u4e5f\u4e0ecp\u6709\u5173\u3002\u5982\u679c\u4e0d\u540ccp\u4e0b\u7684\u66f2\u7ebfP(tw, cp)\u5728\u65f6\u95f4\u5c3a\u5ea6\u4e0a\u6709\u53e0\u52a0\u6027\u4e14\u5e73\u79fb\u56e0\u5b50\u4e3aap(cp)\u3001\u53e0\u52a0\u540e\u4e3b\u66f2\u7ebf\u7684\u6a2a\u5750\u6807\u4e3atw\/ap\uff0c\u90a3\u4e48\u5c31\u6709k(cp)\/ap = k0\uff08k0\u4e3a\u53c2\u8003\u66f2\u7ebf\u7684\u901f\u7387\u5e38\u6570\uff09\uff0c\u5373ap ~ k-1 ~ W ~ exp(Umax\/kBT)\u3002\u8fd9\u5c31\u662f\u5e73\u79fb\u56e0\u5b50\u4e0eUmax\u7684\u5173\u7cfb\u3002 Y. Joshi\u66fe\u628aLaponite\u8001\u5316\u53e0\u52a0\u66f2\u7ebf\u7684\u6c34\u5e73\u5e73\u79fb\u56e0\u5b50\u4e0eexp(Umax\/kBT)\u76f8\u8054\u7cfb\uff0c\u4f46\u6ca1\u6709\u4e25\u683c\u89e3\u91ca\uff0c\u53ea\u662f\u4e00\u53e5\u5e26\u8fc7[6]\u3002 \u5269\u4e0b\u7684\u95ee\u9898\uff0c\u5c31\u662fUmax\u4e0ecp\u7684\u5173\u7cfb\u3002 2 Laponite\u7684\u7c92\u5b50\u95f4\u4f5c\u7528\u52bf \u00a0 \u6309\u7167\u6211\u60f3\u8c61\uff0c\u6c42Umax\u7684\u65b9\u6cd5\u5c31\u662f\u53bb\u6c42U(h)\u51fd\u6570\u7684\u6781\u5927\u503c\uff0c\u5148\u6c42\u5bfc\u518d\u89e3\u65b9\u7a0b\u3002\uff08\u4e0d\u77e5\u9053\u6570\u5b66\u4e0a\u662f\u5426\u6709\u5176\u4ed6\u53d6\u5de7\u7684\u65b9\u6cd5\uff09\uff0c\u56e0\u6b64\u8981\u77e5\u9053U(h)\u7684\u5177\u4f53\u5f62\u5f0f\u3002 \u60ac\u6d6e\u5e26\u7535\u7c92\u5b50\u95f4\u7684\u4f5c\u7528\u52bf\u51fd\u6570U(h)\u662f\u6307\u628a\u4e24\u4e2a\u7c92\u5b50\u4ece\u8ddd\u79bb\u65e0\u9650\u8fdc\u79fb\u52a8\u81f3\u8ddd\u79bb\u4e3ah\u6240\u9700\u8981\u514b\u670d\u7684\u80fd\u91cf\u3002\u5b83\u53ef\u4ee5\u770b\u4f5c\u662f\u4e09\u4e2a\u90e8\u5206\u7684\u52a0\u548c\uff1a\u3002\u9759\u7535\u76f8\u4e92\u4f5c\u7528\uff08\u53cc\u7535\u5c42\uff09\u53ef\u91c7\u7528UDL(h) = CDLexp(-\u03bah)\uff0c\u5176\u4e2dCDL\u4e3a\u5e38\u6570\u3002\u8be5\u5f0f\u9002\u7528\u4e8e\u03ba > 3\u7684\u60c5\u51b5\u3002\u8303\u5fb7\u534e\u529b\u53ef\u91c7\u7528UA(h) = -Aa\/12h\uff0c\u5176\u4e2dA\u4e3aHamacker\u5e38\u6570\uff0ca\u4e3a\u6837\u54c1\u7684\u534a\u5f84\uff0c\u8be5\u5f0f\u9002\u7528\u4e8eh <<\u2026","rel":"","context":"In &quot;\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0&quot;","block_context":{"text":"\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/tagged"},"img":{"alt_text":"clip_image002","src":"https:\/\/i0.wp.com\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2011\/03\/clip_image002_thumb.png?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":4296,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/4296","url_meta":{"origin":2759,"position":1},"title":"\u91cd\u65b0\u8003\u8651Laponite\u7c92\u5b50\u95f4\u4f5c\u7528\u52bf\u80fd","author":"Andrew","date":"2011\u5e7411\u67086\u65e5","format":false,"excerpt":"\u9000\u56de\u7684\u5ba1\u7a3f\u610f\u89c1\u53cd\u6620\u7a3f\u5b50\u7684\u6700\u5927\u95ee\u9898\u5728\u4e8e\u5bf9Laponite\u7c92\u5b50\u76f8\u4e92\u4f5c\u7528\u7684\u8003\u8651\u4e0d\u5468\u3002\u9700\u8981\u5bf9\u539f\u672c\u7684model\u8fdb\u884c\u6bd4\u8f83\u5927\u7684\u4fee\u6539\u3002 Laponite\u7c92\u5b50\u5f62\u72b6\u4e0e\u5e26\u7535\u7684\u5404\u5411\u5f02\u6027 \u5ba1\u7a3f\u4eba\u53d1\u96be\u7684\u6700\u4e3b\u8981\u4e00\u70b9\u5c31\u662f\u6211\u6ca1\u6709\u8003\u8651Laponite\u7c92\u5b50\u5728\u5f62\u72b6\u4e0a\u548c\u8868\u9762\u5e26\u7535\u5206\u5e03\u4e0a\u7684\u5404\u5411\u5f02\u6027\u3002Laponite\u662f\u7247\u72b6\u7c92\u5b50\uff0c\u4e24\u4e2a\u9762\uff08face\uff09\u5e26\u8d1f\u7535\uff0c\u8fb9\u7f18\uff08edge\uff09\u5e26\u6b63\u7535\u3002\u56e0\u6b64\uff0c\u4e24\u4e2aLaponite\u7c92\u5b50\u7684\u76f8\u4e92\u4f5c\u7528\u5c31\u8981\u5206\u4e3aface-face\u3001face-edge\u548cedge-edge\u6765\u8ba8\u8bba\u3002\u800c\u4e14\uff0c\u8fd9\u4e09\u79cd\u76f8\u4e92\u4f5c\u7528\u53d1\u751f\u7684\u673a\u7387\u5728\u5728\u91cfLaponite\u7c92\u5b50\u7cfb\u7edf\u4e2d\u5982\u4f55\u5206\u5e03\u4e5f\u9700\u8981\u4f30\u8ba1\u3002\u540e\u8005\u6d89\u53ca\u5230\u53d6\u5411\uff0c\u5f53\u521d\u5c31\u4f30\u8ba1\u7cbe\u786e\u8003\u8651\u53d6\u5411\u673a\u7387\u53ef\u80fd\u4f1a\u5f88\u96be\uff0c\u539f\u672c\u5c31\u6253\u7b97\u7cbe\u786e\u6210\u7403\u578b\u7684\u3002\u73b0\u5728\u65e2\u7136\u5ba1\u7a3f\u4eba\u8bf4\u201c\u771f\u7a7a\u7403\u5f62\u9e21\u201d\u4e0d\u9760\u8c31\u4e86\uff0c\u6211\u53c8\u5728\u6709\u9650\u7684\u65f6\u95f4\u5185\u67e5\u9605\u4e86\u4e00\u4e0b\u6587\u732e\uff0c\u8fd8\u662f\u5f88\u96be\u627e\u5230\u6709\u6587\u732e\u76f4\u63a5\u4ece\u7406\u8bba\u4e0a\u8003\u8651Laponite\u7684\u53d6\u5411\u3002 Secor\u548cRadke\u7ed9\u51fa\u4e86Poisson-Boltzmann\u65b9\u7a0b\u5728\u5706\u67f1\u8584\u7247\u72b6\u80f6\u4f53\u7c92\u5b50\uff0c\u8868\u9762\u5e26\u8d1f\u7535\u3001\u8fb9\u7f18\u5e26\u6b63\u7535\u60c5\u51b5\u4e0b\u7684\u89e3\u6790\u89e3\uff0c\u672c\u6765\u5e94\u8be5\u95ee\u9898\u5c31\u7ed3\u4e86\u3002\u4f46\u6839\u636e\u6587\u7ae0\u7684\u6458\u8981\uff08\u5168\u6587\u6211\u4e0b\u4e0d\u4e86\uff09\uff0c\u8ba1\u7b97\u7ed3\u679c\u662f\u9762\u4e0a\u5e26\u7684\u8d1f\u7535\u7535\u52bf\u5206\u5e03\u6ea2\u51fa\u5230\u4e86\u8fb9\u7f18\u4e0a\uff0c\u6240\u4ee5\u5c31\u7b97\u8fb9\u7f18\u4e0a\u5e26\u6709\u6b63\u7535\u8377\uff0c\u4e5f\u662f\u8d1f\u7535\u52bf\uff0c\u5373edge-face\u662f\u540c\u79cd\u7535\u8377\uff0c\u4e0d\u5b58\u5728\u5f15\u529b\u3002\u8fd9\u8ddfLaponite\u7684\u76ee\u524d\u516c\u8ba4\u7684\u7269\u7406\u56fe\u50cf\u4e0d\u7b26\u3002\u4e0d\u8fc7\u5149\u4ece\u6458\u8981\u8fd8\u770b\u4e0d\u51fa\u539f\u6587\u5728\u8ba1\u7b97\u65f6\u8bbe\u5b9a\u7684\u8fb9\u7f18\u6b63\u7535\u8377\u5927\u5c0f\u662f\u591a\u5c11\uff0c\u4e5f\u8bb8\u662f\u53d6\u503c\u592a\u5c0f\u7684\u7f18\u6545\u3002\u9664\u4e86Poisson-Boltzmann\u65b9\u7a0b\u7684\u7cbe\u786e\u89e3\uff0c\u8fd8\u6709\u5404\u79cd\u8fd1\u4f3c\u65b9\u6cd5\u5efa\u7acb\u4e0d\u540c\u53d6\u5411\u65b9\u5f0f\u7684\u4f5c\u7528\u52bf\u80fd\u51fd\u6570\u3002\u4f8b\u5982\uff0cDjikstra\u7b49\u628aLaponite\u7c92\u5b50\u8003\u8651\u6210\u65e0\u9650\u8584\u7684\u5706\u7247\uff0c\u5176\u5e26\u7535\u60c5\u51b5\u8fd1\u4f3c\u4e3a\u7535\u56db\u6781\u77e9\uff08quadrupole\uff09\uff0cKutter\u7b49\u628aLaponite\u7c92\u5b50\u7684\u5e26\u7535\u60c5\u51b5\u8003\u8651\u6210\u82e5\u5e72\u4e2a\u70b9\u7535\u8377\u7684\u5e73\u9762\u9635\u5217\u7684\u603b\u6548\u679c\u3002\u4f46\u65e0\u8bba\u5982\u4f55\u8003\u8651\u52bf\u80fd\u51fd\u6570\uff0c\u90fd\u8981\u518d\u8fdb\u884cMonte Carlo\u6a21\u62df\uff0c\u624d\u5f97\u5230\u53d6\u5411\u76f8\u5173\u51fd\u6570gor(r)\u3002\u6211\u79c1\u4e0b\u7528\u201c\u542c\u5929\u7531\u547d\u201d\u8fd9\u4e2a\u8bcd\u6765\u5f62\u5bb9\u62ff\u8ba1\u7b97\u673a\u6a21\u62df\u6765\u5c1d\u8bd5\u4e8b\u5148\u9884\u6d4b\u4e0d\u6765\u7684\u4e8b\u60c5\uff0c\u56e0\u89c9\u5f97\u8fd9\u4e0d\u4f26\u4e0d\u7c7b\u3002\u672c\u6765\u4f60\u7684\u6a21\u578b\u5c31\u5f85\u5b9e\u9a8c\u9a8c\u8bc1\uff0c\u7ed3\u679c\u4f60\u53c8\u7528\u8fd9\u4e2a\u6a21\u578b\u6765\u505a\u8ba1\u7b97\u673a\u6a21\u62df\uff08\u5373\u5b9e\u9a8c\uff09\u3002 Dur\u00e1n\u7b49\u628aedge\u548cface\u5f53\u6210\u4e24\u76f8\uff0c\u52a0\u4e0a\u6eb6\u5242\u5c31\u4e00\u5171\u4e09\u76f8\u3002\u7136\u540eLaponite\u7c92\u5b50\u95f4\u7684\u53cc\u7535\u5c42\u76f8\u4e92\u4f5c\u7528\u53ef\u901a\u8fc7HHF\u6a21\u578b\u6765\u5206\u522b\u8ba1\u7b97edge-face\u3001face-face\u548cedge-edge\u4e09\u79cd\u60c5\u51b5\u3002\u4f46\u662f\uff0c\u8fd9\u7bc7\u6587\u7ae0\u7684\u903b\u8f91\u662f\u901a\u8fc7\u7535\u6cf3\u6cd5\u5b9e\u6d4b\u6837\u54c1\u7684\u03b6-\u7535\u4f4d\uff0c\u7136\u540e\u6309\u7167\u7c98\u571f\u7684\u7ed3\u6784\u6765\u5047\u8bbe\u6d4b\u5f97\u7684\u03b6-\u7535\u4f4d\u4e2d\u767e\u5206\u51e0\u662fedge\u7684\uff0c\u767e\u5206\u4e4b\u51e0\u662fface\u7684\uff0c\u4ee3\u5165HHF\u6a21\u578b\u5206\u522b\u7b97\u51fa\u4e09\u79cd\u4f5c\u7528\u52bf\u80fd\u3002\u6574\u7bc7\u6587\u7ae0\u7684\u8ba8\u8bba\u4e2d\uff0c\u4e09\u79cd\u4f5c\u7528\u52bf\u80fd\u90fd\u662f\u5206\u5f00\u7684\u8ba8\u8bba\u7684\uff0c\u6ca1\u6709\u7efc\u5408\u8d77\u6765\u8fc7\uff0c\u56e0\u6b64\u4e5f\u7528\u4e0d\u7740\u8003\u8651\u8fd9\u4e09\u79cd\u60c5\u51b5\u8c01\u591a\u8c01\u5c11\u7684\u95ee\u9898\u2014\u2014\u5373Laponite\u53d6\u5411\u5206\u5e03\u7684\u95ee\u9898\u4e86\u3002 \u7531\u4e8e\u771f\u5b9e\u4e16\u754c\uff08\u975e\u8ba1\u7b97\u673a\u6a21\u62df\uff09\u7684\u5b9e\u9a8c\u624b\u6bb5\u5927\u591a\u65e0\u6cd5\u5206\u8fa8Laponite\u7c92\u5b50\u53d6\u5411\u5206\u5e03\u3002\u5e38\u7528\u7684\u52a8\u6001\u5149\u6563\u5c04\u6cd5\u6d4b\u7c92\u5f84\u548c\u7535\u6cf3\u6cd5\u6d4b\u03b6-\u7535\u4f4d\u90fd\u662f\u5047\u8bbe\u7c92\u5b50\u4e3a\u7403\u5f62\u5f97\u5230\u5b9e\u9a8c\u7ed3\u679c\u7684\u3002\u6240\u4ee5\u5c31\u7b97\u4f60\u80fd\u4ece\u7406\u8bba\u4e0a\u7ed9\u51fa\u53d6\u5411\u5206\u5e03\u7684\u5b9a\u91cf\u5173\u7cfb\uff0c\u9664\u8ba1\u7b97\u673a\u6a21\u62df\u4ee5\u5916\u4e5f\u7f3a\u4e4f\u5b9e\u9a8c\u9a8c\u8bc1\u624b\u6bb5\uff0c\u8003\u8651\u4e86\u4e5f\u767d\u8003\u8651\u3002\u56e0\u6b64\u6211\u4e0d\u592a\u7406\u89e3\u5ba1\u7a3f\u4eba\u662f\u5426\u975e\u8981\u6211\u5b9e\u7259\u5b9e\u9f7f\u5730\u8003\u8651face-edge\u76f8\u4e92\u4f5c\u7528\u4e0d\u53ef\u3002\u6211\u770b\u5230University of Washington\u7684J. Berg\u7ec4\u6709\u4e00\u7bc7\u7814\u7a76Laponite\u6d41\u53d8\u5b66\u7684\u6587\u7ae0\u76f4\u63a5\u628a\u7c92\u5b50\u5f53\u7403\u5f62\u8003\u8651\u4e86\uff0c\u4f46\u6709\u4e00\u6bb5\u5173\u4e8eedge\u548cface\u7684\u89e3\u91ca\u6587\u5b57\u5982\u4e0b\uff08\u91cd\u70b9\u662f\u6211\u52a0\u7684\uff09\uff1a The electrical surface potential must now account for the face and edge potential separately. This gives the following estimate [math]\\mathit{\\Phi}_\\textup{e}\\approx 2\\pi\\epsilon\\epsilon_0 a\\psi _\\textup{face}\\psi_\\textup{edge}\\ln\\left[\\frac{1}{1-\\exp\\left(-\\kappa D \\right )} \\right ].[\/math] The Larson anlysis went from this point to replace the surface potential\u2026","rel":"","context":"In &quot;\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0&quot;","block_context":{"text":"\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/tagged"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":6765,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/6765","url_meta":{"origin":2759,"position":2},"title":"\u8270\u96be\u7684\u8bba\u6587\u53d1\u8868\u4e4b\u8def","author":"Andrew","date":"2015\u5e7412\u67084\u65e5","format":"aside","excerpt":"\u53c8\u4e00\u4efd\u5de5\u4f5c\u53d1\u8868\u4e86\u3002\u8fd9\u7bc7\u8bba\u6587\u5176\u5b9e\u662f\u63a5\u7740\u4e0a\u4e00\u7bc7\u5de5\u4f5c\u7684\u7ee7\u7eed\u3002\u6709\u4eba\u8bf4\uff0c\u81ea\u5df1\u7684\u8bba\u6587\uff0c\u53d1\u8868\u4e4b\u540e\u5c31\u4e0d\u60f3\u91cd\u770b\u4e86\u3002\u80fd\u591f\u53d1\u8868\u503c\u5f97\u81ea\u5df1\u80af\u5b9a\u7684\u8bba\u6587\uff0c\u90fd\u4e0d\u662f\u5bb9\u6613\u7684\u4e8b\u60c5\uff0c\u66f4\u4e0d\u7528\u8bf4\u8ba9\u522b\u4eba\u80af\u5b9a\u4e86\u3002\u54ea\u6015\u662f\u5982\u6b64\u65e0\u8da3\u7684\u5de5\u4f5c\uff0c\u6211\u7684publication rate\u4e5f\u7279\u522b\u4f4e\uff0c\u56e0\u4e3a\u6bcf\u4e00\u7bc7\u8bba\u6587\uff0c\u6211\u90fd\u5e0c\u671b\u63a8\u8fdb\u4e00\u6b65\uff0c\u800c\u6211\u57fa\u7840\u6bd4\u8f83\u8584\u5f31\uff0c\u8fd9\u63a8\u8fdb\u7684\u4e00\u6b65\u5f80\u5f80\u662f\u4ece\u8865\u4e60\u57fa\u672c\u77e5\u8bc6\u5f00\u59cb\uff1a\u5148\u5b66\u4e60\u57fa\u672c\u7406\u8bba\u7684\u76f8\u5173\u6559\u79d1\u4e66\u4e86\u89e3\u4e00\u822c\u7684\u60c5\u51b5\uff0c\u7136\u540e\u770b\u76f8\u5173\u7684\u6587\u732e\u4e86\u89e3\u8ddf\u6211\u7684\u95ee\u9898\u63a5\u8fd1\u7684\u60c5\u51b5\uff0c\u7136\u540e\u518d\u8003\u8651\u6211\u7684\u9700\u8981\u53d1\u8868\u7684\u95ee\u9898\u3002\u5982\u679c\u6211\u6bcf\u7bc7\u8bba\u6587\u90fd\u53ea\u6709\u5f53\u524d\u7684\u77e5\u8bc6\u7684\u7406\u89e3\uff0c\u90a3\u6211\u5c31\u4f1a\u66f4\u52a0\u5728\u6bd4\u8f83\u6e23\u7684\u6c34\u5e73\u4e0a\u505c\u6b65\u4e0d\u524d\u3002\u5728\u8fd9\u91cc\uff0c\u6211\u4e0d\u6015\u522b\u4eba\u7b11\u8bdd\u6211\u57fa\u7840\u6c34\u5e73\u66fe\u7ecf\u6709\u591a\u5dee\uff0c\u7b80\u5355\u8bb0\u5f55\u4e00\u4e0b\u6211\u600e\u4e48\u4ece\u83dc\u9e1f\u8d70\u8fc7\u6765\u7684\u3002\u5c06\u6765\u4e5f\u4f1a\u4e00\u76f4\u8d70\u4e0b\u53bb\u3002\u535a\u58eb\u751f\u671f\u95f4\u4ece\u96f6\u5f00\u59cb\u5b66\u4e60\u6d41\u53d8\u5b66\u4e4b\u540e\u8fdb\u884cLAOS\u7814\u7a76\u7684\u7ecf\u5386\uff0c\u5c31\u4e0d\u63d0\u4e86\u3002\u62112012\u5e74\u7684\u90a3\u7bc7J. 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Matter\u662f\u63a5\u7740\u4e0a\u8ff0\u7684\u5de5\u4f5c\u7684\u3002\u4f46\u4e5f\u662f\u5b66\u4e60\u53e6\u4e00\u4e2a\u7ec4\u505a\u51fa\u7684\u52a8\u6001\u7c98\u5f39\u8c31\u7684\u53e0\u52a0\u6027\u7ed3\u679c\uff0c\u6362\u6210\u4e86\u8ddf2012\u5e74\u4e00\u6837\u7684\u4f53\u7cfb\uff0c\u628a\u4eba\u5bb6\u770b\u5230\u8fc7\u7684\u89c4\u5f8b\u91cd\u590d\u4e86\u4e00\u904d\u3002\u4f46\u662f\uff0c\u8fd9\u7bc7\u8bba\u6587\u7a81\u7834\u4e86time-aging time superposition\u7684\u5df2\u77e5\u884c\u4e3a\uff0c\u5c55\u793a\u4e86time-X superposition\u884c\u4e3a\uff0cX\u4ee3\u8868\u80fd\u4fee\u9970\u7c92\u5b50\u76f8\u4e92\u4f5c\u7528\u52bf\u7684\u5404\u7c7b\u6761\u4ef6\u3002\u4e00\u5f00\u59cb\u4e0d\u77e5\u5929\u9ad8\u5730\u539a\uff0c\u8bd5\u6295PRL\uff0c\u7ed3\u679c\u7531\u4e8e\u9009\u53d6\u7684Laponite\u6d53\u5ea6\u4f53\u7cfb\u5728\u5df2\u62a5\u9053\u7684\u76f8\u56fe\u4e2d\u4f4d\u7f6e\u5c34\u5c2c\uff0c\u96be\u4ee5\u8bf4\u660e\u662fgel\u8fd8\u662fglass\u3002\u8fd9\u4e2a\u95ee\u9898\u73b0\u5728\u6211\u5176\u5b9e\u6709\u6bd4\u8f83\u81ea\u4fe1\u7684\u770b\u6cd5\uff0c\u540e\u9762\u6709\u65f6\u95f4\u4f1a\u63d0\u5230\u3002\u4f46\u5f53\u65f6\u6211\u81ea\u5df1\u5bf9\u5df2\u62a5\u9053\u7684Laponite\u76f8\u56fe\u4e5f\u7406\u89e3\u4e0d\u6df1\uff0c\u65e2\u65e0\u6cd5\u6279\u5224\u5b83\u4eec\uff0c\u53c8\u65e0\u6cd5\u89e3\u91ca\u81ea\u5df1\u7684\u4f53\u7cfb\uff0c\u7ed3\u679c\u5c31\u5728\u8fd9\u4e2a\u95ee\u9898\u4e0a\u5361\u4f4f\uff0cPRL\u6295\u4e0d\u8fdb\u53bb\uff0c\u5c31\u6539\u6295\u4e86Soft 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. 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\u6211\u4eec\u7ecf\u5e38\u9047\u5230\u4e0d\u60f3\u81ea\u5df1\u505a\u5149\u6563\u5c04\u5c31\u60f3\u83b7\u5f97\u5f53\u524d\u6837\u54c1\u7684\u5206\u5b50\u91cf\u548c\u6eb6\u6db2\u7684\u5206\u5b50\u5c3a\u5bf8\u4fe1\u606f\u7684\u60c5\u51b5\uff0c\u7279\u522b\u662f\u5bf9\u4e8e\u5f88\u591a\u5929\u7136\u9ad8\u5206\u5b50\uff0c\u4e70\u56de\u6765\u662f\u4e0d\u77e5\u9053\u5206\u5b50\u91cf\u7684\u3002\u5149\u6563\u5c04\u4eea\u6216\u751a\u81f3\u662fSEC-MALLS\u4e0d\u662f\u5f88\u5bb9\u6613\u5177\u5907\u7684\u6761\u4ef6\uff0c\u4f46\u662f\u6d4b\u91cf\u7279\u6027\u7c98\u6570$\\left[\\eta\\right]$\u5c31\u57fa\u672c\u8c01\u90fd\u80fd\u505a\u3002\u6240\u4ee5\u5f88\u81ea\u7136\u662f\u5e0c\u671b\u80fd\u901a\u8fc7\u62a5\u5bfc\u7684Mark\u2014Houwink\u5173\u7cfb$\\left[\\eta\\right]\\sim M^a$\u6765\u4f30\u7b97\u5206\u5b50\u91cf\u3002\u6587\u732e\u7684Mark\u2014Houwink\u5173\u7cfb\u4e00\u822c\u662f\u901a\u8fc7\u5bf9\u4e0d\u540c\u5206\u5b50\u91cf\u7684\u5355\u5206\u6563\u6837\u54c1\u540c\u65f6\u6d4b\u91cf\u7279\u6027\u7c98\u6570\u548c\u7edd\u5bf9\u5e73\u5747\u5206\u5b50\u91cf\uff08\u4f8b\u5982\u6e17\u900f\u538b\u5f97\u5230\u7684\u6570\u5747\u5206\u5b50\u91cf\u6216\u8005\u5149\u6563\u5c04\u5f97\u5230\u7684\u91cd\u5747\u5206\u5b50\u91cf\uff09\u6765\u7ed9\u51fa\u7684\u3002\u5f53\u7136\uff0c\u771f\u6b63\u7684\u5355\u5206\u6563\u6837\u54c1\u53ef\u4ee5\u5f53\u4f5c\u6570\u5747\u4e0e\u91cd\u5747\u65e0\u5dee\u522b\u3002\u6587\u732e\u62a5\u5bfc\u7684Mark\u2014Houwink\u5173\u7cfb\u90fd\u662f\u5728\u7279\u5b9a\u6eb6\u5242\u548c\u6e29\u5ea6\u6761\u4ef6\u4e0b\u7684\u3002\u4f60\u4e3a\u4e86\u83b7\u5f97\u5206\u5b50\u91cf\uff0c\u53ef\u4ee5\u5728\u76f8\u5e94\u7684\u6761\u4ef6\u4e0b\u6d4b\u8bd5\u5f53\u524d\u6837\u54c1\u7684\u7279\u6027\u7c98\u6570\u7136\u540e\u5e94\u7528\u6587\u732e\u7684Mark\u2014Houwink\u53c2\u6570\u3002\u4f46\u4f60\u66f4\u9700\u8981\u7684\u5f80\u5f80\u662f\u53e6\u4e00\u79cd\u4efb\u610f\u6eb6\u5242\u6216\u6e29\u5ea6\u4e0b\u7684\u5206\u5b50\u5c3a\u5bf8\u3002\u5149\u77e5\u9053\u5206\u5b50\u91cf\u4e0d\u591f\uff0c\u8fd8\u8981\u77e5\u9053\u6269\u5f20\u6bd4$\\alpha$\u3001Flory\u6307\u6570$\\nu$\u7b49\u3002\u66f4\u9ebb\u70e6\u7684\u662f\uff0c\u627e\u4e0d\u5230Mark\u2014Houwink\u5173\u7cfb\u7684\u62a5\u9053\uff0c\u53ea\u627e\u5230\u5bf9\u5355\u4e2a\u6837\u54c1\u505a\u7684\u5149\u6563\u5c04\u6570\u636e\u3002\u8fd9\u65f6\u5c31\u9700\u8981\u57fa\u4e8e\u666e\u904d\u63a5\u53d7\u7684\uff08\u4ea6\u5373\u5ba1\u7a3f\u4eba\u4e00\u822c\u4e0d\u8d28\u7591\u7684\uff09\u9ad8\u5206\u5b50\u6eb6\u6db2\u7406\u8bba\u6765\u4ece\u8fd9\u4e9b\u6587\u732e\u6570\u636e\u4f30\u7b97\u5f53\u524d\u6761\u4ef6\u4e0b\u7684\u5206\u5b50\u5c3a\u5bf8\u3002 \u4e3a\u4e86\u6e05\u6670\uff0c\u6211\u4eec\u628a\u805a\u5408\u7269\u79cd\u7c7b\u7528\u5927\u5199\u82f1\u6587\u5b57\u6bcdA\u3001B\u6765\u8868\u793a\uff0c\u628a\u4e00\u5b9a\u7684\u6eb6\u5242\u548c\u6e29\u5ea6\u6761\u4ef6\u7528\u5e0c\u814a\u5b57\u6bcd\u03b8\u3001\u03b1\u3001\u03b2\u6765\u8868\u793a\uff0c\u5176\u4e2d\u03b8\u8868\u793a\u65e0\u6270\u6761\u4ef6\u3002\u8fd9\u4e9b\u90fd\u53ea\u4f1a\u7528\u4f5c\u4e0b\u6807\u3002\u4e0d\u968f\u6761\u4ef6\u53d8\u5316\u7684\u91cf\u4e0d\u6807\u5e0c\u814a\u5b57\u6bcd\u4e0b\u6807\u3002\u4e3a\u4e86\u8fdb\u4e00\u6b65\u7b80\u5316\uff0c\u5f53\u524d\u5173\u5fc3\u7684\u805a\u5408\u7269\uff0c\u5c31\u4e0d\u6807\u5b57\u6bcdA\u4e86\uff0c\u53e6\u4e00\u79cd\u805a\u5408\u7269\u624d\u4f1a\u6807B\u3002\u4f8b\u5982$\\alpha_\\alpha$\u8868\u793a\u5f53\u524d\u5173\u5fc3\u7684\u805a\u5408\u7269\u5728\u7b2c\u4e00\u79cd\u6761\u4ef6\u4e0b\uff08\u6761\u4ef6\u03b1\uff09\u7684\u6269\u5f20\u7cfb\u6570\u3002\u5c31\u7b97\u662f\u5f53\u524d\u5173\u5fc3\u7684\u9ad8\u5206\u5b50\uff0c\u6587\u732e\u4f7f\u7528\u7684\u5206\u5b50\u91cf\u8ddf\u4f60\u624b\u5934\u4e0a\u6837\u54c1\u7684\u5206\u5b50\u91cf\u662f\u4e0d\u4e00\u6837\u7684\uff0c\u6211\u4eec\u6700\u7ec8\u662f\u8981\u77e5\u9053\u6211\u4eec\u624b\u5934\u4e0a\u7684\u6837\u54c1\u7684\u5206\u5b50\u91cf\u3002\u4e8e\u662f\uff0c\u7528\u4e00\u4e2aprime\u6765\u8868\u793a\u6211\u4eec\u624b\u5934\u4e0a\u7684\u6837\u54c1\u3002\u4f8b\u5982$M^\\prime$\u662f\u6211\u4eec\u624b\u5934\u4e0a\u7684\u6837\u54c1\u7684\u5206\u5b50\u91cf\uff0c$\\left[\\eta\\right]^\\prime_{\\beta}$\u662f\u6211\u4eec\u624b\u5934\u4e0a\u7684\u6837\u54c1\u5728\u03b2\u6761\u4ef6\u4e0b\u7684\u7279\u6027\u7c98\u6570\u3002 \u9996\u5148\u9700\u8981\u4f30\u7b97\u8fd9\u79cd\u805a\u5408\u7269\u7684\u5355\u4f4d\u94fe\u957f\u8d28\u91cf$M_1$\u6216\u8005\u91cd\u590d\u5355\u5143\u957f\u5ea6$l_1$\u3002\u5b83\u4eec\u4e4b\u95f4\u6709\u5173\u7cfb$M_1=M_0\/l_1$\uff0c\u5176\u4e2d$M_0$\u662f\u91cd\u590d\u5355\u539f\u7684\u8d28\u91cf\u3002$l_1$\u4e00\u822c\u662f\u6839\u636e\u91cd\u590d\u5355\u5143\u7684\u952e\u957f\u952e\u89d2\u7b49\u51e0\u4f55\u4fe1\u606f\u4f30\u7b97\u7684\u3002\u4e0d\u7ba1\u600e\u4e48\u53bb\u4f30\u7b97\uff0c\u6700\u540e\u8981\u7528\u7684\u662f$M_1$\u3002\u4e00\u822c\u6587\u732e\u91cc\u4f1a\u6709\u4f30\u7b97\u7684\uff0c\u4e0d\u7528\u81ea\u5df1\u505a\u3002 \u4e00\u822c\u80fd\u67e5\u5230\u7684\u5149\u6563\u5c04\u5de5\u4f5c\uff0c\u90fd\u662f\u5728\u67d0\u6eb6\u5242\u548c\u6e29\u5ea6\u4e0b\uff08\u8bb0\u4e3a\u6761\u4ef6\u03b1\uff09\u505a\u4e00\u4e2aZimm\u56fe\uff0c\u53ef\u4ee5\u5f97\u5230\u6837\u54c1\u7684\uff08\u91cd\u5747\uff09\u5206\u5b50\u91cf$M$\u3001\u7b2c\u4e8c\u7ef4\u5229\u7cfb\u6570$A_{2,\\alpha)$\u548c\u5747\u65b9\u56de\u8f6c\u534a\u5f84$\\left\\langle S^2\\right\\rangle_\\alpha$\u3002\u5c31\u7b97\u8bba\u6587\u7684\u6b63\u6587\u6ca1\u6709\u7ed9\u51fa\u503c\uff0c\u53ea\u8981\u7ed9\u4e86\u6570\u636e\u56fe\uff0c\u4f60\u81ea\u5df1\u4e5f\u53ef\u4ee5\u4ece\u56fe\u4e2d\u5f97\u5230\u3002\u8fd9\u90e8\u5206\u7684\u539f\u7406\u6bd4\u8f83\u57fa\u672c\uff0c\u4e00\u822c\u7684\u9ad8\u5206\u5b50\u6eb6\u6db2\u7406\u8bba\u7684\u4e66\u7684\u8bb2\u8ff0\u4e0d\u4f1a\u6709\u4ec0\u4e48\u4ee4\u4eba\u56f0\u60d1\u7684\u5dee\u5f02\uff0c\u5c31\u4e0d\u5728\u6b64\u89e3\u91ca\u4e86\u3002\u5982\u679c\u627e\u5230\u6587\u732e\u505a\u4e86\u4e0d\u6b62\u4e00\u4e2a\u5206\u5b50\u91cf\u7684\u6837\u54c1\uff0c\u4f46\u662f\u6ca1\u6709\u6d4b\u5b83\u4eec\u7684\u7279\u6027\u7c98\u6570$\\left[\\eta\\right]_\\alpha$\u56e0\u6b64\u8fd8\u662f\u4e0d\u77e5\u9053Mark\u2014Houwink\u7cfb\u6570\uff0c\u90a3\u4f60\u4ecd\u7136\u53ef\u4ee5\u65b9\u4fbf\u5730\u6839\u636e$\\left\\langle S^2\\right\\rangle^{1\/2}_\\alpha\\sim M^{\\nu_\\alpha}$\u5f97\u5230\u6587\u732e\u6761\u4ef6\u4e0b\u7684$\\nu_\\alpha$\uff08\u54ea\u6015\u6587\u732e\u6ca1\u505a\u4f60\u4e5f\u53ef\u4ee5\u7528\u5b83\u7684\u6570\u636e\u81ea\u5df1\u505a\uff0c\u8fd9\u4e00\u70b9\u5728\u4e0b\u6587\u4e2d\u5c31\u4e0d\u518d\u91cd\u590d\u63d0\u793a\u4e86\uff09\u3002 \u5982\u679c\u6587\u732e\u53ea\u505a\u4e86\u4e00\u4e2a\u5206\u5b50\u91cf\u7684\u6837\u54c1\uff0c\u81f3\u5c11\u4e5f\u5df2\u7ecf\u6709$M$\u548c$A_2$\u4e86\u3002\u8fd9\u65f6\u53ef\u4ee5\u901a\u8fc7\u6269\u5f20\u7cfb\u6570\u6765\u6c42Flory\u6307\u6570\u3002\u5982\u679c\u6269\u5f20\u7cfb\u6570\u662f\u5173\u4e8e\u5747\u65b9\u672b\u7aef\u8ddd\u7684\uff0c\u5c31\u6709\uff1a$\\alpha_\\alpha=\\left\\langle h^2\\right\\rangle^{1\/2}_\\alpha\/\\left\\langle h^2\\right\\rangle_\\theta^{1\/2}$\uff0c\u5176\u4e2d\uff0c$\\left\\langle h^2\\right\\rangle^{1\/2} = b_\\alpha N_\\alpha^\\nu_\\alpha$\uff0c$\\left\\langle h^2\\right\\rangle_\\theta^{1\/2} = b_\\alpha N_\\alpha^{1\/2}$\uff0c$b_\\alpha$\u662fKuhn\u94fe\u6bb5\u957f\u5ea6\uff0c$N_\\alpha$\u662fKuhn\u94fe\u6bb5\u7684\u4e2a\u6570\u3002$N_\\alpha=M\/\\left(M_1 b_\\alpha\\right)$\u3002\u90a3\u4e48\u5c31\u53ef\u4ee5\u7531\u6269\u5f20\u7cfb\u6570\u8ba1\u7b97Flory\u6307\u6570\u4e86\uff0c\u6240\u7f3a\u7684\u53c2\u6570\u662f$\\alpha_\\alpha$\u548c$b_alpha$\u3002 $b_\\alpha$\u4e5f\u662f\u8981\u627e\u6587\u732e\u7684\u3002\u6587\u732e\u4e00\u822c\u6709\u4e24\u79cd\u505a\u6cd5\uff1a\u4e00\u662f\u5149\u6563\u5c04\u5f97\u5230\u4e86\u6bd4\u8f83\u5bbd\u6ce2\u77e2\u8303\u56f4\u7684form factor\uff0c\u53ef\u4ee5\u770b\u5230coil\u884c\u4e3a\u5411rod\u884c\u4e3a\u7684\u8f6c\u53d8\uff0c\u8fd9\u4e2a\u8f6c\u53d8\u6240\u5bf9\u5e94\u7684\u5c3a\u5ea6\u5c31\u662f$b$\u3002\u4e8c\u662f\u901a\u8fc7\u4e00\u4e9b\u542b\u6709\u6301\u7eed\u957f\u5ea6$l_\\mathrm{p}$\u53c2\u6570\u7684\u94fe\u6a21\u578b\u6765\u62df\u5408\u6d4b\u5f97\u7684$\\left\\langle S^2\\right\\rangle$\u6570\u636e\u5f97\u5230$l_\\mathrm{p}$\u4ece\u800c\u5f97\u5230$b$\u3002\u4e0d\u7ba1\u600e\u4e48\u6837\u4f60\u8981\u67e5\u5230\u8fd9\u4e2a\u6570\u636e\u3002\u7531\u4e8e$b_\\alpha$\u7684\u503c\u662f\u4f9d\u8d56\u6761\u4ef6\uff0c\u6240\u4ee5\u6700\u597d\u662f\u540c\u4e00\u4e2a\u62a5\u9053\u91cc\u4e0d\u4ec5\u4f5c\u4e86Zimm\u56fe\uff0c\u8fd8\u628a\u5149\u5f3a\u548c\u6ce2\u77e2\u66f2\u7ebf\u7ed9\u51fa\u6765\uff0c\u7136\u540e\u4f9b\u4f60\u7528\u7b2c\u4e00\u79cd\u65b9\u6cd5\u4f30\u7b97\u51fa$b$\u3002\u6587\u732e\u81ea\u5df1\u628a\u8fd9\u4ef6\u4e8b\u505a\u4e86\u7684\u8bdd\u5c31\u66f4\u597d\u4e86\u3002 \u81f3\u4e8e\u6269\u5f20\u7cfb\u6570\uff0c\u662f\u8fd9\u6837\u5f97\u5230\u7684\uff1a\u901a\u8fc7\u6bd4\u8f83\u53e6\u4e00\u79cd\u9ad8\u5206\u5b50B\u7684$M_\\mathrm{B}$\u3001$A_{2,\\mathrm{B}}$\u548c\u6269\u5f20\u7cfb\u6570$\\alpha_{B\\beta}$\u6765\u4f30\u7b97\u5f53\u524d\u7684\u9ad8\u5206\u5b50\u5728\u6761\u4ef6\u03b1\u7684\u6269\u5f20\u7cfb\u6570$\\alpha_\\alpha$\u3002\u5177\u4f53\u5730\u8bb2\uff0c\u4f60\u9700\u8981\u67e5\u627e\u53e6\u4e00\u79cd\u7814\u7a76\u5f97\u6bd4\u8f83\u591a\u7684\u9ad8\u5206\u5b50B\u7684\u6570\u636e\uff0c\u8fd9\u6837\u5c31\u6709\u671b\u627e\u5230\u540c\u65f6\u62a5\u9053\u4e86\u5176\u5206\u5b50\u91cf$M_\\mathrm{B}$\u548c\u67d0\u6761\u4ef6\uff08\u8bb0\u4e3a\u03b2\uff09\u4e0b\u7684$A_{2,\\mathrm{B}}$\u548c\u6269\u5f20\u6bd4$\\alpha_\\mathrm{B\\beta}$\u7684\u6587\u732e\u3002\u7136\u540e\uff0c\u6839\u636eFlory\u7684\u6269\u5f20\u7cfb\u6570\u5173\u7cfb\u5f0f$\\alpha^5-\\alpha^3=2C_\\mathrm{M}\\psi\\left(1-\\Theta\/T\\right)M^{1\/2}$\u53ef\u77e5\uff0c\u4e0d\u540c\u9ad8\u5206\u5b50\u5728\u540c\u4e00\u7b2c\u4e8c\u7ef4\u5229\u7cfb\u6570\u4e0b\u7684$\\left(\\alpha^5-\\alpha^3\\right)\/M^{1\/2}$\u503c\u662f\u5dee\u522b\u5f88\u5c0f\u7684\u3002\u4e8e\u662f\u4f60\u5c31\u53ef\u4ee5\u901a\u8fc7$\\frac{\\alpha_\\alpha^5-\\alpha_\\alpha^3}{M^{1\/2}}=\\frac{\\alpha_\\mathrm{B\\beta}^5-\\alpha_\\mathrm{B\\beta}^3}{M_\\mathrm{B}^{1\/2}}$\u6765\u8ba1\u7b97\u4f60\u8981\u7684\u6269\u5f20\u7cfb\u6570$\\alpha_\\alpha$\u4e86\u3002\u6709\u4e86$\\alpha_\\alpha$\u548c$b_\\alpha$\uff0c\u5c31\u53ef\u4ee5\u6c42$\\nu_\\alpha$\u4e86\u3002 \u77e5\u9053\u4e86$\\nu_\\alpha$\uff0c\u4e0b\u4e00\u6b65\u5c31\u662f\u8ba1\u7b97\u6211\u4eec\u624b\u5934\u4e0a\u7684\u6837\u54c1\u7684\u5206\u5b50\u91cf$M^\\prime$\u3002\u8fd9\u65f6\u5c31\u9700\u8981\u4f7f\u7528\u7279\u6027\u7c98\u6570\u7684\u6570\u636e\u4e86\u3002\u4f60\u9700\u8981\u518d\u4ece\u6587\u732e\u4e2d\u627e\u5230\u76f8\u540c\u6761\u4ef6\u4e0b\u7684\u7279\u6027\u7c98\u6570$\\left[\\eta\\right]_\\alpha$\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u4f60\u4ece\u6587\u732e\u4e2d\u4e00\u5171\u8981\u627e\u5230\u5bf9\u67d0\u5206\u5b50\u91cf\u4e3a$M$\u7684\u6837\u54c1\u5728\u540c\u4e00\u6761\u4ef6\u03b1\u4e0b\u7684\uff1a$b_\\alpha$\u548c$\\left[\\eta\\right]_\\alpha$\uff0c\u6309\u4e0a\u8ff0\u7684\u8ba1\u7b97\u65b9\u6cd5\u7b97\u51fa$\\nu_\\alpha$\u3002\u540c\u65f6\uff0c\u4f60\u624b\u5934\u4e0a\u7684\u6837\u54c1\u4e5f\u8981\u81ea\u5df1\u62ff\u53bb\u5728\u76f8\u540c\u7684\u6761\u4ef6\u4e0b\u6d4b\u7279\u6027\u7c98\u6570\uff0c\u5f97\u5230$\\left[\\eta\\right]^\\prime_\\alpha$\u3002\u8fd9\u65f6\u6839\u636eFlory\u2014Fox\u5173\u7cfb\u6709$\\left[\\eta\\right]_\\alpha\/\\left[\\eta\\right]^\\prime_\\alpha=\\left(M\/M^\\prime\\right)^{\\left(3\\nu_\\alpha-1\\right)}$\uff0c\u4ece\u800c\u5f97\u5230\u4f60\u624b\u5934\u4e0a\u6837\u54c1\u7684\u5206\u5b50\u91cf$M^\\prime$\u3002 \u5728\u6b64\u57fa\u7840\u4e0a\uff0c\u5982\u679c\u8981\u4f30\u7b97\u53e6\u4e00\u79cd\u6eb6\u5242\u6216\u6e29\u5ea6\u6761\u4ef6\uff08\u8bb0\u4e3a\u03b3\uff09\u4e0b\u7684\u5404\u79cd\u5c3a\u5bf8\uff0c\u5c31\u5fc5\u987b\u77e5\u9053\u65b0\u6761\u4ef6\u4e0b\u8fd9\u4e00\u9ad8\u5206\u5b50\u6837\u54c1\u7684\u7279\u6027\u7c98\u6570$\\left[\\eta\\right]_\\gamma$\u548c\u5206\u5b50\u91cf$M$\uff0c\u8fd9\u540c\u6837\u8981\u4ece\u6587\u732e\u91cc\u627e\u3002\u7b80\u5355\u5730\u8bf4\uff0c\u5c31\u662f\u4f60\u60f3\u83b7\u5f97\u4f60\u624b\u5934\u4e0a\u6837\u54c1\u6761\u4ef6\u03b3\u7684\u4fe1\u606f\uff0c\u4f60\u5c31\u8981\u627e\u5230\u6709\u4eba\u4e5f\u5728\u6761\u4ef6\u03b3\u4e0b\u505a\u8fc7\u540c\u79cd\u9ad8\u5206\u5b50\u7684\u5b9e\u9a8c\uff0c\u5426\u5219\u5c31\u6ca1\u620f\u4e86\u3002\u5982\u679c\u6709\uff0c\u90a3\u4f60\u53ea\u9700\u8981\u518d\u5728\u6761\u4ef6\u03b3\u4e0b\u6d4b\u4e00\u6b21\u624b\u5934\u4e0a\u6837\u54c1\u7684\u7279\u6027\u7c98\u6570$\\left[\\eta\\right]^\\prime_\\gamma$\uff0c\u5c31\u53ef\u4ee5\u7c7b\u4f3c\u5730\u7528\u5173\u7cfb$\\left[\\eta\\right]_\\gamma\/\\left[\\eta\\right]^\\prime_\\gamma=\\left(M\/M^\\prime\\right)^{\\left(3\\nu_\\gamma-1\\right)}$\u5f97\u5230\u65b0\u6761\u4ef6\u7684Flory\u6307\u6570\u3002\u7136\u540e\u53ef\u4ee5\u5229\u7528Flory\u2014Fox\u5173\u7cfb\u672c\u8eab\u5f97\u5230\u65b0\u6761\u4ef6\u4e0b\u7684Kuhn\u94fe\u6bb5\u6570\u91cf$N^\\prime_\\gamma$\u548c\u957f\u5ea6$b_\\gamma$\uff0c\u8fdb\u800c\u5f97\u5230\u5747\u65b9\u672b\u7aef\u8ddd$\\left\\langle h^2\\right\\rangle_\\gamma^\\prime$\u3002 \u6eb6\u80c0\u94fe\u7684\u5747\u65b9\u56de\u8f6c\u534a\u5f84$\\left\\langle S^2\\right\\rangle^{1\/2}$\u4e0e\u5747\u65b9\u672b\u7aef\u8ddd$\\left\\langle h^2\\right\\rangle^{1\/2}$\u4e4b\u95f4\u6ca1\u6709\u7b80\u5355\u7684\u7cbe\u786e\u5173\u7cfb\u3002\u4f46\u4ecd\u7136\u53ef\u4ee5\u6309\u6587\u672b\u5173\u4e8e\u6269\u5f20\u7cfb\u6570\u7684\u8865\u5145\u8bf4\u660e\u53ef\u4ee5\u4f5c\u6b64\u6362\u7b97\uff0c\u5f97\u5230\u4f60\u624b\u5934\u4e0a\u6837\u54c1\u7684\u5747\u65b9\u56de\u8f6c\u534a\u5f84$\\left\\langle S^2\\right\\rangle^\\prime_\\gamma$\u3002\u6709\u4e86\u5747\u65b9\u56de\u8f6c\u534a\u5f84\uff0c\u4f60\u5c31\u53ef\u4ee5\u8ba1\u7b97\u65b0\u6761\u4ef6\u4e0b\u5f53\u524d\u6837\u54c1\u7684\u5f88\u591a\u4fe1\u606f\uff0c\u4f8b\u5982\u534a\u6d53\u6eb6\u6db2\u7684\u63a5\u89e6\u6d53\u5ea6$c^*=3M\/\\left(4\\pi N_\\mathrm{A}\\left\\langle S^2\\right\\rangle^{1\/2}\\right)$\uff0c\u4ee5\u53ca\u76f8\u5173\u957f\u5ea6\uff08blob size\uff09$\\xi=\\left\\langle S^2\\right\\rangle^{1\/2}\\left(c\/c^*\\right)^{-\\nu\/\\left(3\\nu-1\\right)}$\u3002\u6ce8\u610f\u5f0f\u4e2d\u4f9d\u8d56\u6761\u4ef6\u7684\u91cf\u8981\u53d6\u540c\u4e00\u6761\u4ef6\u4e0b\u7684\u503c\u3002 \u5bf9\u4e8e\u9ad8\u5206\u5b50\u6eb6\u6db2\u4ea4\u8054\u5f62\u6210\u7684\u51dd\u80f6\uff0c\u4e5f\u53ef\u4ee5\u5728\u540c\u6837\u7684\u6eb6\u5242\u548c\u6e29\u5ea6\uff08\u5982\u6761\u4ef6\u03b3\uff0c\u4e0d\u518d\u6807\u793a\u4e86\uff09\u4e0b\u6d4b\u91cf\u5e73\u53f0\u6a21\u91cf$G_\\mathrm{p}$\uff0c\u7136\u540e\u7528Nijenhuis\u7684\u5f0f\u5b50\uff0c\u5f97\u5230\u4ea4\u8054\u70b9\u95f4\u5206\u5b50\u91cf$M_\\mathrm{c}$\u3002 \\begin{equation}G_\\mathrm{p}=\\frac{2cRT}{M}\\left(\\frac{M}{M_\\mathrm{c}}\\frac{f-1}{f}-1\\right)\\left(1-w_\\mathrm{s}\\right)\\end{equation}\\begin{equation}\\frac{M}{M_\\mathrm{c}}=-\\frac{\\mathrm{ln}w_\\mathrm{s}}{1-w_\\mathrm{s}}\\frac{1-w_\\mathrm{s}^{0.5f}}{1-w_\\mathrm{s}^{0.5f-1}}\\end{equation} $M$\u662f\u9ad8\u5206\u5b50\u7684\u5206\u5b50\u91cf\uff0c$c$\u662f\u9ad8\u5206\u5b50\u6d53\u5ea6\uff08\u5355\u4f4d\u4f53\u79ef\u7684\u9ad8\u5206\u5b50\u8d28\u91cf\uff09\u3002$f$\u662f\u4ea4\u8054\u70b9\u7684\u5b98\u80fd\u5ea6\uff0c$w_\\mathrm{s}$\u662f\u51dd\u80f6\u4e2d\u7684sol fraction\u3002 \u5f97\u5230\u4e86\u4ea4\u8054\u70b9\u95f4\u5e73\u5747\u5206\u5b50\u91cf\uff0c\u5c31\u53ef\u4ee5\u901a\u8fc7\u4e4b\u524d\u5f97\u5230\u7684\u540c\u6837\u6761\u4ef6\u4e0b\u7684\u6837\u54c1\u7684$M$\u3001$M_1$\u3001$\\nu$\u3001$b$\u8ba1\u7b97\u4ea4\u8054\u70b9\u95f4\u5e73\u5747Kuhn\u94fe\u6bb5\u6570$N_\\mathrm{c}$\uff0c\u8fdb\u800c\u5047\u8bbe\u7f51\u773c\u5c3a\u5bf8\u8fd1\u4f3c\u7b49\u4e8e\u4ea4\u8054\u70b9\u95f4\u94fe\u6bb5\u7684\u5747\u65b9\u672b\u7aef\u8ddd\uff0c\u53ef\u5f97\u7f51\u773c\u5c3a\u5bf8$\\xi=bN_\\mathrm{c}^\\nu$\u3002 \u529f\u80fd\u6027\u6c34\u51dd\u80f6\u7684\u6eb6\u5242\u6761\u4ef6\u5343\u53d8\u4e07\u5316\u3002\u6e29\u5ea6\u4f9d\u8d56\u6027\u5c1a\u4e14\u6709\u70ed\u529b\u5b66\u4e00\u822c\u5173\u7cfb\u53ef\u4f9d\u8d56\uff0c\u4f46\u662f\u4e0d\u540cpH\u6216\u76d0\u7684\u79cd\u7c7b\u3001\u6d53\u5ea6\uff0c\u4e0d\u53ef\u80fd\u90fd\u6709\u4eba\u505a\u8fc7\u5149\u6563\u5c04\u5b9e\u9a8c\u3002\u54ea\u6015\u81ea\u5df1\u6709\u5149\u6563\u5c04\uff0c\u4e5f\u4e0d\u53ef\u80fd\u53d8\u4e00\u4e0b\u76d0\u6d53\u5ea6\u5c31\u6d4b\u4e00\u6b21\u6216\u8005\u641e\u51fa\u4ec0\u4e48\u5de5\u4f5c\u66f2\u7ebf\u6765\u3002\u8fd9\u65f6\u6211\u4eec\u8981\u6709\u4e00\u79cd\u4e0d\u90a3\u4e48\u7ea0\u7ed3\u7684\u65b9\u5f0f\u3002\u5728\u5904\u7406\u8fd9\u79cd\u95ee\u9898\u7684\u65f6\u5019\uff0c\u53ea\u80fd\u628a\u6761\u4ef6\u4f9d\u8d56\u7684\u53c2\u6570\u90fd\u5f53\u4f5c\u53d8\u91cf\uff0c\u770b\u80fd\u4e0d\u80fd\u641e\u4e00\u4e9b\u62df\u5408\u4e86\u3002 \u5173\u4e8e\u6269\u5f20\u7cfb\u6570\u7684\u8865\u5145\u8bf4\u660e \u524d\u9762\u63d0\u5230\u5bf9\u4e8e\u6eb6\u80c0\u94fe\u7684\u5747\u65b9\u56de\u8f6c\u534a\u5f84$\\left\\langle S^2\\right\\rangle^{1\/2}$\u4e0e\u5747\u65b9\u672b\u7aef\u8ddd$\\left\\langle h^2\\right\\rangle^{1\/2}$\u4e4b\u95f4\u6ca1\u6709\u7b80\u5355\u7684\u7cbe\u786e\u5173\u7cfb\uff0c\u6269\u5f20\u7cfb\u6570\u4e5f\u9700\u8981\u5206\u5f00\u5b9a\u4e49\u3002\u5747\u65b9\u672b\u7aef\u8ddd\u7684\u6269\u5f20\u7cfb\u6570\u662f$\\alpha_h\\equiv\\left\\langle h^2\\right\\rangle^{1\/2}\/\\left\\langle h^2\\right\\rangle_\\mathrm{\\theta} ^{1\/2}$\uff1b\u5747\u65b9\u56de\u8f6c\u534a\u5f84\u7684\u6269\u5f20\u7cfb\u6570\u662f$\\alpha_S\\equiv\\left\\langle S^2\\right\\rangle^{1\/2}\/\\left\\langle\u2026","rel":"","context":"In &quot;\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0&quot;","block_context":{"text":"\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/tagged"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":9291,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/9291","url_meta":{"origin":2759,"position":4},"title":"\u201c\u5fae\u6d41\u53d8\u201d\u672f\u8bed\u53f2","author":"Andrew","date":"2025\u5e7410\u670819\u65e5","format":false,"excerpt":"\u201c\u5fae\u6d41\u53d8\u201d\uff08microrheology\uff09\u5728\u6700\u8fd1\u51e0\u5e74\u7684\u6587\u732e\u4e2d\u662f\u4e13\u6307III. \u901a\u8fc7\u80f6\u4f53\u7c92\u5b50\u7684\u70ed\u8fd0\u52a8\u7edf\u8ba1\u89c4\u5f8b\u53cd\u63a8\u60ac\u6d6e\u4ecb\u8d28\u7684\u6d41\u53d8\u6027\u8d28\u7684\u4e00\u79cd\u5b9e\u9a8c\u7814\u7a76\u3002\u8fd9\u4e5f\u662f\u6211\u73b0\u5728\u7814\u7a76\u65b9\u5411\u4e4b\u4e00\u3002\u4f46\u662f\uff0c\u8fd9\u4e2a\u672f\u8bed\u6700\u65e9\u7684\u610f\u4e49\u8ddf\u73b0\u5728\u6709\u4e9b\u533a\u522b\u3002 \u6839\u636e\u6211\u67e5\u5230\u7684\u7ed3\u679c\uff0c\u201cmicrorheology\u201d\u4e00\u8bcd\u6700\u65e9\u51fa\u73b0\u5728M. Reiner\u7684\u6d41\u53d8\u5b66\u8bb2\u4e49\uff08Markus Reiner (1943), Ten Lectures on Theoretical Rheology, Rubin Mass\uff09\u4e2d\u7684\u7b2c\u4e03\u8bb2\u3002\u8fd9\u4e2a\u5957\u8bb2\u4e49\u540e\u6765\u5206\u522b\u57281949\u5e74\u548c1960\u5e74\u51fa\u4e86\u7b2c\u4e8c\u548c\u7b2c\u4e09\u7248\u3002\u7b2c\u4e09\u7248\u6709\u4e2d\u8bd1\u672c\uff1aM. \u96f7\u8bb7\u8457\uff0c\u90ed\u6709\u4e2d\u7b49\u8bd1\u300a\u7406\u8bba\u6d41\u53d8\u5b66\u8bb2\u4e49\u300b\uff0c\u7531\u79d1\u5b66\u51fa\u7248\u793e\u4e8e1965\u51fa\u7248\u3002\u5728\u5f53\u65f6\u8fd9\u4e2a\u8bcd\u5927\u6982\u662f\u6307I. \u4ece\u5fae\u89c2\u7ed3\u6784\u63a8\u51fa\u5b8f\u89c2\u7cfb\u7edf\u6d41\u53d8\u5b66\u6027\u8d28\u7684\u7406\u8bba\u7814\u7a76\uff0c\u4f3c\u4e4e\u662f\u7528\u4e8e\u4e0e\u57fa\u4e8e\u8fde\u7eed\u4ecb\u8d28\u5047\u5b9a\u7684\u7406\u8bba\u76f8\u533a\u522b\u3002\u540e\u8005\u88ab\u79f0\u4f5c\u201cmacrorheology\u201d\u3002 \u5927\u6982\u76f8\u540c\u7684\u65f6\u671f\uff0c\u80f6\u4f53\u7c92\u5b50\u60ac\u6d6e\u6db2\u6d41\u53d8\u5b66\u7684\u5148\u9a71Stanley G. Mason\uff081914-1987\uff09\u5927\u91cf\u4f7f\u7528\u8fd9\u4e2a\u8bcd\u6765\u63cf\u8ff0\u4ed6\u7814\u7a76\u7684\u95ee\u9898\u3002\u5173\u4e8eMason\u7ecf\u5386\u7684\u4e00\u4e9b\u8d44\u6599\u53ef\u89c1\u4ed6\u7684\u81ea\u8ff0\u548c\u540e\u8f88\u5199\u7684appreciation\u3002Mason\u57281950\u5e74\u4ee3\u5c31\u5f00\u59cb\u6b63\u5f0f\u7814\u7a76\u60ac\u6d6e\u7c92\u5b50\u7684\u6d41\u4f53\u52a8\u529b\u5b66\u3002\u4ed6\u521b\u7acb\u7684\u7814\u7a76\u65b9\u6cd5\u662fII. \u901a\u8fc7\u5b9e\u9a8c\u89c2\u5bdf\u7c92\u5b50\u5468\u56f4\u7684\u6d41\u573a\u6765\u9a8c\u8bc1\u6d41\u4f53\u52a8\u529b\u5b66\u7406\u8bba\u3002\u56e0\u6b64\uff0c\u5230\u4e86Mason\u8fd9\u91cc\uff0c\u201cmicrorheology\u201d\u7684\u610f\u4e49\u5c31\u4ece\u7406\u8bba\u6a21\u578b\u53d8\u4e3a\u5b9e\u9a8c\u624b\u6bb5\u3002Mason\u4e5f\u63a8\u5bfc\u8fc7\u80f6\u4f53\u6d41\u53d8\u5b66\u7406\u8bba\uff0c\u4f46\u4ed6\u548c\u4ed6\u7684\u5b66\u751f\u4e0d\u7528\u201cmicrorheology\u201d\u4e00\u8bcd\u63cf\u8481\u8fd9\u4e9b\u7406\u8bba\u5de5\u4f5c\u3002 Mason\u7684\u53ca\u5176\u5b66\u751f\u7684\u540e\u7eed\u5de5\u4f5c\u4e00\u76f4\u6301\u7eed\u52301970\u5e74\u4ee3\u3002\u5728\u8fd9\u6bb5\u65f6\u95f4\uff0c\u201cmicrorheology\u201d\u4e00\u8bcd\u51e0\u4e4e\u53ea\u51fa\u73b0\u5728\u4ed6\u4eec\u53d1\u8868\u7684\u5de5\u4f5c\u5f53\u4e2d\u3002\u4e5f\u6709\u96f6\u661f\u613f\u610f\u4f7f\u7528Reiner\u8bb2\u4e49\u7684\u8001\u610f\u4e49\u7684\u8bba\u6587\uff0c\u5305\u62ec\u51af\u5143\u6862\u5148\u751f\u30021970\u5e74\u4ee3\uff0c\u201cmicrorheology\u201d\u4e00\u8bcd\u88ab\u8840\u6db2\u6d41\u53d8\u5b66\u9886\u57df\u5927\u91cf\u91c7\u7528\uff0c\u8fd9\u4e5f\u4ecd\u662f\u5f52\u56e0\u4e8eMason\u7684\u5de5\u4f5c\u5bf9\u8fd9\u4e00\u9886\u57df\u7684\u5f71\u54cd\u529b\u3002 \u6211\u80fd\u627e\u5230\u7684\u7b2c\u4e00\u4e2a\u610f\u4e49\u53d8\u6210\u73b0\u5728\u7684\u7b2cIII\u79cd\u7684\u6700\u65e9\u8bba\u6587\u662f1985\u5e74\u7684\u4e00\u7bc7\u8bba\u6587\u3002 \u4e0e\u201cmicrorheology\u201d\u4e00\u8bcd\u5341\u5206\u76f8\u5173\u7684\u8fd8\u6709\u201cmicroviscosity\u201d\u3002\u8fd9\u4e2a\u8bcd\u53cd\u800c\u6700\u65e9\u5c31\u8fbe\u5230\u4e86\u4eca\u5929\u5bf9microrheology\u5e94\u8be5\u8fbe\u5230\u7684\u7406\u89e3\u3002\u57281929\u5e74\u7684\u7b2c\u4e00\u5c4a\u7f8e\u56fd\u6d41\u53d8\u5b66\u5e74\u4f1a\u4e0a\uff0cE. Kraemer & R. Williamson\u533a\u5206\u4e86\u51e0\u4e2a\u5c42\u6b21\u7684\u201c\u6469\u64e6\u201d\uff08friction\uff09\u3002\u4e00\u662f\u5b8f\u89c2\u4f53\u7cfb\u7684\u7c98\u5ea6\uff0c\u4e8c\u662f\u7c92\u5b50\u4e0e\u5468\u56f4\u6d41\u573a\u754c\u9762\u5904\u7684\u6469\u64e6\uff0c\u4e09\u662f\u7c92\u5b50\u5f62\u53d8\u7684\u5185\u90e8\u6469\u64e6\u3002\u201cmicroviscosity\u201d\u6307\u7684\u5c31\u662f\u5728IV. \u5fae\u89c2\u5c3a\u5ea6\u4e0b\u7684\u7c98\u5ea6\u2014\u2014\u5b83\u5e38\u5e38\u4e0e\u5b8f\u89c2\u5c3a\u5ea6\u4e0b\u5bf9\u540c\u4e00\u7cfb\u7edf\u6d4b\u5f97\u7684\u7c98\u5ea6\u660e\u663e\u4e0d\u540c\u3002\u8fd9\u4ef6\u4e8b\u65e9\u5728\u201c\u80f6\u4f53\u201d\uff08colloid\uff09\u4e00\u8bcd\u7684\u675c\u64b0\u8005Thomas Graham\u57281861\u5e74\u7684\u7814\u7a76\u4e2d\u5c31\u53d1\u73b0\u4e86\u3002\u76d0\u5728\u660e\u80f6\u6216\u743c\u8102\u51dd\u80f6\u4e2d\u7684\u6269\u6563\u6bd4\u5c11\u6162\u4e0d\u4e86\u591a\u5c11\uff0c\u4f46\u524d\u8005\u7684\u7c98\u5ea6\u6bd4\u6c34\u9ad8\u597d\u51e0\u4e2a\u6570\u91cf\u7ea7\u3002\u56e0\u6b64\u8fd9\u4ee4\u4eba\u76f8\u4fe1\uff0c\u5fae\u89c2\u5c3a\u5ea6\u7269\u4f53\u611f\u53d7\u5230\u7684\u6db2\u4f53\u7684\u7c98\u5ea6\u662f\u8ddf\u5b8f\u89c2\u6d4b\u91cf\u503c\u4e0d\u540c\u7684\u3002\u5177\u4f53\u5728\u8fd9\u4e00\u5b9e\u9a8c\u73b0\u8c61\u4e2d\uff0c\u7814\u7a76\u8005\u751a\u81f3\u662f\u901a\u8fc7\u6269\u6563\u7684\u6548\u679c\u6765\u7406\u89e3\u7c98\u5ea6\u3002\u8fd9\u662f\u5728Einstein--Stokes\u5173\u7cfb\u7684\u7406\u8bba\u57fa\u7840\u4e0a\u7684\u8ba4\u8bc6\u89d2\u5ea6\uff0c\u628a\u5b9e\u9a8c\u7ed3\u679c\u5173\u4e8eEinstein--Stokes\u5173\u7cfb\u7684\u504f\u79bb\u5f53\u4f5c\u7c98\u5ea6\u4e0d\u540c\u3002\u4eca\u5929\u6211\u4eec\u8fd8\u6709\u53e6\u4e00\u79cd\u505a\u6cd5\uff0c\u90a3\u5c31\u662f\u628a\u5b9e\u9a8c\u7ed3\u679c\u5173\u4e8eEinstein--Stokes\u5173\u7cfb\u7684\u504f\u79bb\u5f53\u4f5c\u534a\u5f84\u4e0d\u540c\uff0c\u5b9a\u4e49\u51fa\u201c\u6d41\u4f53\u52a8\u529b\u5b66\u534a\u5f84\u201d\u3002\u8fd9\u4e24\u54b1\u505a\u6cd5\u7684\u4eba\u4e4b\u95f4\u5f88\u5c11\u770b\u5230\u6709\u4ea4\u53c9\u7684\uff0c\u66f4\u522b\u8bf4\u6709\u4eba\u53bbreconcile\u8fd9\u4e24\u8005\u3002\u8fd9\u53ef\u80fd\u662f\u7531\u4e8e\u5b9e\u9a8c\u65b9\u6cd5\u4e0d\u540c\u3002\u4e00\u6d3e\u4eba\u6d4b\u91cf\u5b8f\u89c2\u7cfb\u7edf\u7684\u7c98\u5ea6\uff0c\u548c\u5206\u5b50\u7684\u6269\u6563\u7cfb\u6570\u3002\u7531\u4e8e\u5206\u5b50\u7ed3\u6784\u662f\u660e\u786e\u7684\uff0c\u8fd9\u6d3e\u4eba\u662f\u4e0d\u4f1a\u6000\u7591\u5206\u5b50\u8fd8\u6709\u53e6\u4e00\u79cd\u201c\u534a\u5f84\u201d\u3002\u53e6\u4e00\u6d3e\u4eba\u7528\u52a8\u6001\u5149\u6563\u5c04\u6d4b\u80f6\u4f53\u7c92\u5b50\u5728\u60ac\u6d6e\u6db2\u4e2d\u6216\u805a\u5408\u7269\u5728\u6eb6\u6db2\u4e2d\u7684\u534a\u5f84\uff0c\u5e76\u4e0e\u7535\u5b50\u663e\u5fae\u955c\u6216\u89d2\u5ea6\u4f9d\u8d56\u6563\u5c04\u7684\u7ed3\u679c\uff08\u5747\u65b9\u56de\u8f6c\u534a\u5f84\uff09\u76f8\u6bd4\u8f83\u3002\u7279\u522b\u662f\u5bf9\u4e8e\u805a\u5408\u7269\u8bd5\u6837\uff0c\u7531\u4e8e\u5176\u5206\u5b50\u5c3a\u5bf8\u53ea\u6709\u5e73\u5747\u6982\u5ff5\uff0c\u5728\u6eb6\u6db2\u4e2d\u7684\u5e73\u5747\u5c3a\u5bf8\u8fd8\u53d7\u6eb6\u5242\u6eb6\u8d28\u76f8\u4e92\u4f5c\u7528\u4ee5\u53ca\u6d41\u4f53\u52a8\u529b\u5b66\u76f8\u4e92\u4f5c\u7528\u7684\u5f71\u54cd\u3002\u800c\u6269\u6563\u7cfb\u6570\u88ab\u9690\u542b\u5728\u52a8\u6001\u5149\u6563\u5c04\u7684\u57fa\u672c\u539f\u7406\u5f53\u4e2d\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":1303,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/1303","url_meta":{"origin":2759,"position":5},"title":"\u7b80\u5355\u51e0\u4f55\u4e0e\u529b\u5b66\u6a21\u578b\u80fd\u5426\u641e\u5b9aSoft Colloidal Glass\u6d41\u53d8\u5b66\uff1f","author":"Andrew","date":"2010\u5e747\u670828\u65e5","format":false,"excerpt":"Roger\u00a0T.\u00a0Bonnecaze, & Michel\u00a0Cloitre (2010). Micromechanics of Soft Particle Glasses Advances in Polymer Science : 10.1007\/12_2010_90\u8fd9\u662fAdv. Polym. Sci.\u5c1a\u672a\u7ec4\u7248\u7684\u4e00\u7bc7\u7efc\u8ff0\uff0c\u4f46\u91cc\u9762\u5374\u6709\u5f88\u591a\u539f\u521b\u90e8\u5206\u3002\u4ece\u6587\u7ae0\u6807\u9898\u4e0a\u770b\uff0c\u662f\u8981\u603b\u7ed3\u6700\u8fd1\u70ed\u95e8\u7684\u8f6f\u80f6\u4f53\u73bb\u7483\u4f53\u7cfb\u3002\u4f46\u662f\u5728\u6587\u4e2d\uff0c\u4f5c\u8005\u63d0\u51fa\u4e86\u4e00\u4e2a\u7b80\u5355\u51e0\u4f55\u4e0e\u529b\u5b66\u6a21\u578b\uff0c\u4e00\u7edf\u5fae\u51dd\u80f6\u3001\u4e73\u6db2\u3001\u661f\u5f62\u805a\u5408\u7269\u3001\u5d4c\u6bb5\u5171\u805a\u80f6\u675f\u7b49\u4f53\u7cfb\u7684\u526a\u5207\u6d41\u53d8\u5b66\u548c\u58c1\u6ed1\u95ee\u9898\u3002\u8f6f\u80f6\u4f53\u7c92\u5b50\u7531\u4e8e\u672c\u8eab\u80fd\u591f\u53d1\u751f\u4e00\u5b9a\u7a0b\u5ea6\u7684\u5f62\u53d8\uff0c\u56e0\u6b64\u5728\u5806\u6324\uff08jamming\uff09\u65f6\uff0c\u7c92\u5b50\u81ea\u8eab\u7684\u5f39\u6027\u4e5f\u6210\u4e86\u5f71\u54cd\u6d41\u53d8\u5b66\u6027\u8d28\u7684\u91cd\u8981\u56e0\u7d20\u3002\u8fd9\u662f\u8f6f\u7403\u80f6\u4f53\u8ddf\u521a\u6027\u7684\u786c\u7403\u80f6\u4f53\u4f53\u7cfb\u6700\u5927\u7684\u4e0d\u540c\u3002\u867d\u7136\u5fae\u51dd\u80f6\u3001\u4e73\u6db2\u548c\u661f\u5f62\u805a\u5408\u7269\u7b49\u4e0d\u540c\u7ed3\u6784\u7684\u8f6f\u7c92\u5b50\u7684\u5f39\u6027\u673a\u5236\u548c\u5927\u5c0f\u4e0d\u540c\uff0c\u4f46\u5b83\u4eec\u7684\u5f39\u6027\u4e3a\u6d41\u53d8\u5b66\u9020\u6210\u7684\u5f71\u54cd\u5374\u53ef\u4ee5\u7528\u7c7b\u4f3c\u7684\u65b9\u6cd5\u53bb\u8003\u8651\u3002\u4f5c\u8005\u7684\u60f3\u6cd5\u662f\u5f88\u76f4\u89c2\u7684\u3002\u7b2c\u4e00\u6b65\uff0c\u5efa\u7acb\u4e24\u7c92\u95f4\u63a5\u89e6\u5f62\u53d8\u7684\u6392\u65a5\u529b\u65b9\u7a0b\uff1b\u7b2c\u4e8c\u6b65\u662f\u5927\u91cf\u7c92\u5b50\u56e0\u76f8\u4e92\u63a5\u89e6\u5f62\u53d8\u6240\u4ea7\u751f\u7684\u5f39\u6027\u529b\u603b\u548c\u2014\u2014\u5b83\u8ddf\u7c92\u5b50\u7684\u4f53\u79ef\u5206\u6570\u6709\u5173\uff1b\u7b2c\u4e09\u6b65\u662f\u5efa\u7acb\u7c92\u5b50\u95f4\u7684\u6da6\u6ed1\u2014\u2014\u5373\u6469\u64e6\u529b\u7684\u7b80\u5355\u6a21\u5f62\uff1b\u6700\u540e\u5c31\u662f\u5bfc\u51fa\u58c1\u6ed1\u548cbulk\u7684\u526a\u5207\u6d41\u53d8\u5b66\u3002\u5176\u4e2d\u6bcf\u4e00\u6b65\u7528\u5230\u7684\u90fd\u662f\u6700\u7b80\u5355\u7684\u7269\u7406\uff0c\u4f46\u662f\u6a21\u578b\u6a21\u62df\u7684\u7ed3\u6784\u8ddf\u5404\u79cd\u5b9e\u9a8c\u4f53\u7cfb\u7684\u6570\u636e\u543b\u5408\u5f97\u5f88\u597d\u3002\u4f46\u662f\u4f5c\u8005\u6ca1\u6709\u8003\u8651\u5e03\u6717\u8fd0\u52a8\uff0c\u4e4b\u6240\u4ee5\u80fd\u6210\u529f\uff0c\u4e00\u65b9\u9762\u662f\u56e0\u4e3a\u5fae\u51dd\u80f6\u3001\u4e73\u6db2\u7b49\u4f53\u7cfb\u7684\u7c92\u5b50\u5c3a\u5bf8\u672c\u6765\u5c31\u5f88\u5927\uff0c\u5145\u5176\u91cf\u5c31\u662f\u6240\u8c13submicron\u7ea7\u522b\uff0c\u7b2c\u4e8c\u662f\u5728jamming\u7684\u72b6\u6001\u4e0b\uff0c\u5e03\u6717\u8fd0\u52a8\u53ef\u4ee5\u8fd1\u4f3c\u5ffd\u7565\u6389\u3002\u5176\u5b9e\uff0c\u5c31\u7b97\u662fjamming\uff0c\u5982\u679c\u7c92\u5b50\u8db3\u591f\u5c0f\u7684\u8bdd\uff0c\u5e03\u6717\u8fd0\u52a8\u4e5f\u662f\u4e0d\u53ef\u5ffd\u7565\u7684\u3002\u5bf9\u4e8e\u5f88\u5c0f\u7684\u4e1c\u897f\uff08\u6216\u8005\u6e29\u5ea6\u8f83\u9ad8\uff0c\u603b\u4e4b\u5e03\u6717\u8fd0\u52a8\u6bd4\u8f83\u660e\u663e\uff09\uff0c\u5c31\u7b97\u4f53\u79ef\u5206\u6570\u5df2\u7ecf\u8fc7\u4e86jamming\u4e34\u754c\u70b9\uff0c\u4f46\u662fcage\u7684\u5f62\u6210\u4ecd\u7136\u9700\u8981\u65f6\u95f4\uff0c\u52a8\u6001\u6355\u83b7\u4e0d\u662f\u4e00\u8e74\u800c\u5c31\uff0c\u5b8f\u89c2\u4e0a\u5c31\u8868\u73b0\u4e3aaging\u3002\u5927\u7684\u7c92\u5b50\u5c31\u4e0d\u4e00\u6837\u3002\u4f8b\u5982\u50cf\u672a\u4e2d\u548c\u7684Carbopol\u6eb6\u6db2\uff0c\u4f60\u5f80\u91cc\u52a0NaOH\uff0cpia\u7684\u4e00\u4e0b\u5c31\u6405\u4e0d\u52a8\u4e86\uff1b\u800c3 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Polym. 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