Analytical approach to the time-dependent probability density function in tilted periodic potentials

被引：5

作者：

Salgado-Garcia, R. ^{[1
,2
]}

Leyvraz, F. ^{[2
]}

Martinez-Mekler, G. ^{[2
]}

机构：

[1] Univ Autonoma Estado Morelos, Fac Ciencias, Cuernavaca 62210, Morelos, Mexico

[2] Univ Nacl Autonoma Mexico, Inst Ciencias Fis, Cuernavaca 62251, Morelos, Mexico

来源：

PHYSICAL REVIEW E | 2008年 / 78卷 / 06期

关键词：

Brownian motion; diffusion; Fokker-Planck equation; probability;

D O I：

10.1103/PhysRevE.78.061101

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

In this work we introduce a scheme for the calculation of an approximate closed expression for the time-dependent probability density function for overdamped particles in tilted periodic potentials. Our derivation is based on an ansatz for the solution of the corresponding Fokker-Planck equation and on a self-consistent cumulant calculation. The high accuracy of our expression for the time-dependent probability density function is exhibited by comparisons with Langevin dynamics simulations and exact analytic results for the drift and diffusion coefficients. Good agreement is found both, for large and intermediate times.

引用

页数：16

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