Variational perturbation theory for Fokker-Planck equation with nonlinear drift

被引：0
|
作者：
J. Dreger
A. Pelster
B. Hamprecht
机构：
[1] Freie Universität Berlin,
[2] Institut für Theoretische Physik,undefined
[3] Fachbereich Physik,undefined
[4] Universität Duisburg-Essen,undefined
[5] Universitätsstrasse 5,undefined
来源：
The European Physical Journal B - Condensed Matter and Complex Systems | 2005年 / 45卷
关键词：
Spectroscopy; Differential Equation; Neural Network; State Physics; Probability Density;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We develop a recursive method for perturbative solutions of the Fokker-Planck equation with nonlinear drift. The series expansion of the time-dependent probability density in terms of powers of the coupling constant is obtained by solving a set of first-order linear ordinary differential equations. Resumming the series in the spirit of variational perturbation theory we are able to determine the probability density for all values of the coupling constant. Comparison with numerical results shows exponential convergence with increasing order.
引用
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页码：355 / 368
页数：13
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