文章基本信息

标题：Variational Principle in Langevin Processes
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作者：Yuki SUGHIYAMA ; Masayuki OHZEKI
期刊名称：Interdisciplinary Information Sciences
印刷版ISSN：1340-9050
电子版ISSN：1347-6157
出版年度：2013
卷号：19
期号：1
页码：93-99
DOI：10.4036/iis.2013.93
出版社：The Editorial Committee of the Interdisciplinary Information Sciences
摘要：The recent work, Nemoto and Sasa [Phys. Rev. E, 83 : 030105(R) (2011)], has shown that large deviations of the current characterizing a nonequilibrium system are obtained by observing the typical current for a modified system specified by a variational principle. In the present study, we will give a generalized version of the Nemoto–Sasa study by extracting a hidden mathematical structure from the fluctuation-response relation which is well-known in statistical mechanics. Here, the minimization of the Kullback–Leibler divergence plays an essential role.
关键词：nonequilibrium system;stochastic process;large deviation