福克-普朗克方程的求解与噪声诱导相变  

Solution of the Fokker-Planck Equation and Noise-induced Phase Transition

作　　者：白占武[1] 陈坤[1] 

机构地区：[1]华北电力大学数理系,河北保定071003

出　　处：《河北大学学报（自然科学版）》2011年第5期475-479,共5页Journal of Hebei University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10647129)

摘　　要：考虑内部时间导数Ornstein-Uhlenbeck(OU)噪声激励的一个布朗粒子在周期场中运动的零维系统,用福克-普朗克方程的等价系统方法和一种改进的等价系统判据得到近似解析解.以此讨论了噪声诱导相变问题和势形状对相变的影响,得到如下结论:新判据改进了近似解析解的精度;相变主要决定于周期场势垒的高度而不敏感于势的形状.We study a zero-dimensional system of Brownian particles which move in a periodic potential and subject to an internal time derivative Ornstein-Uhlenbeck（OU） noise.we use the equivalent system method to get the approximate analytical solution.Then,we discuss the noise-induced phase transition problem and the affect of the potential shape,obtain the following conclusions： The new criteria improves the accuracy of the approximate analytical solution;phase transition mainly depends on the height of the potential barrier but insensitive to the shape of the potential.

关 键 词：时间导数OU噪声 福克-普朗克方程 近似解析解 残余 噪声诱导相变 

分 类 号：O414.2[理学—理论物理]