Corrections to the Fick-Jacobs equation

被引：213

作者：

Kalinay, P.

Percus, J. K.

机构：

[1] Slovak Acad Sci, Inst Phys, Bratislava 84511, Slovakia

[2] NYU, Courant Inst Math Sci, New York, NY 10012 USA

[3] NYU, Dept Phys, New York, NY 10003 USA

来源：

PHYSICAL REVIEW E | 2006年 / 74卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.74.041203

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：

Diffusion in a quasi-one-dimensional channel, with cross section varying along the longitudinal coordinate, is considered. Using a rigorous mapping of the diffusion equation onto one dimension, eliminating transients in transverse direction(s), we derive an expansion of the effective diffusion coefficient D(x), which represents corrections to the Fick-Jacobs equation.

引用

页数：6

共 6 条

[1]

EGUERA D, 2001, PHYS REV E, V64, P1106

[2]

Jacobs M. H., 1967, DIFFUSION PROCESSES

[3] Projection of two-dimensional diffusion in a narrow channel onto the longitudinal dimension [J].