A NON-FICKIAN DIFFUSION EQUATION

被引：24

作者：

DAS, AK

机构：

[1] Department of Physics, Dalhousie University, Halifax

来源：

JOURNAL OF APPLIED PHYSICS | 1991年 / 70卷 / 03期

关键词：

D O I：

10.1063/1.349592

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

A non-Fickian diffusion equation, which differs from the usual (Fickian) diffusion equation by having an additional, second-order derivative term in time, is considered to describe the dynamics of a Brownian particle. Some useful perspectives on this generalized diffusion equation are presented, particularly with respect to the effect of a potential field. Two quantities of physical interest, namely the mean square displacement and the particle flux at an absorbing boundary, are considered in the process of a comparative study of the two diffusion equations. We also discuss the applicability of the non-Fickian diffusion equation to some systems of physical and practical interest.

引用

页码：1355 / 1358

页数：4