Extended fick-jacobs equation: Variational approach

被引：70

作者：

Kalinay, P

Percus, JK

机构：

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

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

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

来源：

PHYSICAL REVIEW E | 2005年 / 72卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.72.061203

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：

We derive an extended Fick-Jacobs equation for the diffusion of noninteracting particles in a two- and symmetric three-dimensional channels of varying cross section A(x), using a variational approach. The result is a diffusion differential equation of second order in only one space (longitudinal) coordinate. This equation is tested on the task of calculating the stationary flux through a hyperboloidal tube, and its solution is compared with that of other methods.

引用

页数：10

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