FOKKER-PLANCK EQUATION FOR NONLINEAR STOCHASTIC DYNAMICS IN THE PRESENCE OF SPACE AND TIME-DEPENDENT FRICTION

被引:40
|
作者
POLLAK, E [1 ]
BEREZHKOVSKII, AM [1 ]
机构
[1] KARPOV PHYS CHEM INST, MOSCOW 103064, RUSSIA
来源
JOURNAL OF CHEMICAL PHYSICS | 1993年 / 99卷 / 02期
关键词
D O I
10.1063/1.465379
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
The one-dimensional stochastic equation of motion for a particle in the presence of space and time dependent friction involves multiplicative fluctuations and a nonlinear friction kernel. We show how this rather complicated equation may be significantly simplified. Introduction of an auxiliary mode leads to a set of two nonlinearly coupled equations with space and time independent damping. An exact Fokker-Planck equation emerges naturally from this formulation.
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页码:1344 / 1346
页数:3
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