Derivation of diffusion coefficient of a Brownian particle in tilted periodic potential from the coordinate moments

被引:12
作者
Zhang, Yunxin [1 ,2 ,3 ]
机构
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[2] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China
[3] Fudan Univ, Ctr Computat Syst Biol, Shanghai 200433, Peoples R China
基金
中国国家自然科学基金;
关键词
Fokker-Planck equation; Effective diffusion coefficient; Brownian particles;
D O I
10.1016/j.physleta.2009.05.061
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this research, diffusion of an overdamped Brownian particle in the tilted periodic potential is investigated. Using the one-dimensional hopping model, the formulations of the mean velocity V-N and effective diffusion coefficient D-N of the Brownian particle have been obtained [B. Derrida, J. Star. Phys. 31 (1983) 433]. Based on the relation between the effective diffusion coefficient and the moments of the mean first passage time, the formulation of effective diffusion coefficient D-eff of the Brownian particle also has been obtained [P. Reimann, et al., Phys. Rev. E 65 (2002) 031104]. In this research, we'll give another analytical expression of the effective diffusion coefficient D-eff, from the moments of the particle's coordinate. (C) 2009 Elsevier B.V. All Fights reserved.
引用
收藏
页码:2629 / 2633
页数:5
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