| 福克-普朗克方程的求解与噪声诱导相变 |
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| 引用本文： | 白占武,陈坤.福克-普朗克方程的求解与噪声诱导相变[J].河北大学学报(自然科学版),2011,31(5):475-479. |
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| 作者姓名： | 白占武 陈坤 |
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| 作者单位： | 华北电力大学数理系,河北保定,071003 |
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| 基金项目： | 国家自然科学基金资助项目(10647129) |
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| 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...
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| 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 |
Solution of the Fokker-Planck Equation and Noise-induced Phase Transition |
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| BAI Zhan-wu,CHEN Kun.Solution of the Fokker-Planck Equation and Noise-induced Phase Transition[J].Journal of Hebei University (Natural Science Edition),2011,31(5):475-479. |
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| Authors: | BAI Zhan-wu CHEN Kun |
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| Institution: | BAI Zhan-wu,CHEN Kun(Department of Mathematics and Physics,North China Electric Power University,Baoding 071003,China) |
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| Abstract: | 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 potenti... |
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| Keywords: | time derivative ornstein-uhlenbeck noise Fokker-Planck equation approximate analytical solution residue noise-induced phase transition |
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