{"id":976,"date":"2014-01-02T16:16:12","date_gmt":"2014-01-02T08:16:12","guid":{"rendered":"http:\/\/systemsci.org\/jinshanw\/?p=976"},"modified":"2014-01-02T16:16:12","modified_gmt":"2014-01-02T08:16:12","slug":"fokker-planck%e6%96%b9%e7%a8%8b%e7%9a%84lie%e4%bb%a3%e6%95%b0%e8%a7%a3%e6%b3%95%e5%92%8clattice-fpe%e8%a7%a3%e6%b3%95","status":"publish","type":"post","link":"https:\/\/www.systemsci.org\/jinshanw\/2014\/01\/02\/fokker-planck%e6%96%b9%e7%a8%8b%e7%9a%84lie%e4%bb%a3%e6%95%b0%e8%a7%a3%e6%b3%95%e5%92%8clattice-fpe%e8%a7%a3%e6%b3%95\/","title":{"rendered":"Fokker-Planck\u65b9\u7a0b\u7684Lie\u4ee3\u6570\u89e3\u6cd5\u548cLattice FPE\u89e3\u6cd5"},"content":{"rendered":"<p>\u6211\u73b0\u5728\u518d\u5229\u7528Fokker-Planck\u65b9\u7a0b\u63cf\u8ff0\u91cf\u5b50\u8f93\u8fd0\u73b0\u8c61\uff0c\u6b63\u5728\u5bfb\u627eFPE\u7684\u89e3\u6790\u548c\u6570\u503c\u6c42\u89e3\u7684\u65b9\u6cd5\u3002<\/p>\n<p>\u5728\u9ec4\u7956\u6d3d\u548c\u4e01\u9102\u6c5f\u7684\u300a\u8f93\u8fd0\u7406\u8bba\u300b\u4e0a\u76845.12\u8282\u8bfb\u5230FPE\u7684Lie\u4ee3\u6570\u89e3\u6cd5\uff0c\u975e\u5e38\u6709\u610f\u601d\u3002\u5bf9\u4e8e\u4e0d\u542b\u65f6\u7684\u7ebf\u6027\u7684FPE\uff0c<br \/>\n\\begin{equation}<br \/>\n\\frac{d}{dt}P = L P<br \/>\n\\end{equation}<br \/>\n\u6c42\u7ed3\u679c\u8fc7\u7a0b\u5c31\u662f\u5199\u51fa\u7b97\u7b26<br \/>\n\\begin{align}<br \/>\ne^{Lt}<br \/>\n\\end{align}<br \/>\n\u7684\u5177\u4f53\u663e\u793a\u5f62\u5f0f\u3002\u7531\u4e8e\u8fd9\u662f\u4e00\u4e2a\u4e00\u822c\u7684\u7ebf\u6027\u7b97\u7b26\uff0c\u5199\u51fa\u5177\u4f53\u5f62\u5f0f\u662f\u4e0d\u5bb9\u6613\u7684\u3002\u6ce8\u610f\u5230\u8fd9\u4e2a\u5c31\u662f\u4e00\u4e2a\u6307\u6570\u6620\u5c04\uff0c\u6240\u4ee5\uff0c\u5982\u679c\u6211\u4eec\u628a$$L$$\u770b\u6210\u4e00\u4e2a\u674e\u4ee3\u6570\uff0c\u5e76\u4e14\u627e\u5230\u5408\u9002\u7684\u8868\u793a\uff0c\u90a3\u4e48\u8fd9\u4e2a\u6f14\u5316\u7b97\u7b26\u5c31\u662f\u8fd9\u4e2a\u674e\u4ee3\u6570\u5bf9\u5e94\u7740\u7684\u674e\u7fa4\uff0c\u5176\u8868\u793a\u53ef\u4ee5\u901a\u8fc7\u674e\u4ee3\u6570\u7684\u8868\u793a\u5f97\u5230\u3002<\/p>\n<p>\u5de8\u795e\u5947\u7684\u662f\uff0c\u8fd9\u4e2a\u65b9\u6cd5\uff0c\u662f\u65b9\u798f\u5eb7\u8001\u5e08\u53d1\u5c55\u8d77\u6765\u7684\u3002<\/p>\n<p>\u6700\u8fd1\uff0c\u901a\u8fc7\u8bb8\u7231\u56fd\u5e08\u5144\u53d1\u73b0\uff0c\u683c\u6c14\u548c\u5143\u80de\u81ea\u52a8\u673a\u7684\u65b9\u6cd5\uff0c\u53ef\u4ee5\u7528\u6765\u6c42\u89e3FPE\uff0c\u53eb\u505aLattice Fokker-Planck Equation\u3002\u5f88\u6709\u610f\u601d\u3002<\/p>\n<p>\u5728\u6211\u7684\u5de5\u4f5c\u4e2d\uff0c\u8fd9\u4e24\u4e2a\u65b9\u6cd5\uff0c\u90fd\u503c\u5f97\u5c1d\u8bd5\u4e00\u4e0b\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6211\u73b0\u5728\u518d\u5229\u7528Fokker-Planck\u65b9\u7a0b\u63cf\u8ff0\u91cf\u5b50\u8f93\u8fd0\u73b0\u8c61\uff0c\u6b63\u5728\u5bfb\u627eFPE\u7684\u89e3\u6790\u548c\u6570\u503c\u6c42\u89e3\u7684\u65b9\u6cd5\u3002 \u5728\u9ec4\u7956\u6d3d\u548c &hellip; <a href=\"https:\/\/www.systemsci.org\/jinshanw\/2014\/01\/02\/fokker-planck%e6%96%b9%e7%a8%8b%e7%9a%84lie%e4%bb%a3%e6%95%b0%e8%a7%a3%e6%b3%95%e5%92%8clattice-fpe%e8%a7%a3%e6%b3%95\/\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">\u201cFokker-Planck\u65b9\u7a0b\u7684Lie\u4ee3\u6570\u89e3\u6cd5\u548cLattice FPE\u89e3\u6cd5\u201d<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[11],"tags":[],"_links":{"self":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts\/976"}],"collection":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/comments?post=976"}],"version-history":[{"count":0,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts\/976\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/media?parent=976"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/categories?post=976"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/tags?post=976"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}