Stochastic reaction-diffusion phenomena in porous media with nonlinear kinetics: Effects of quenched porosity fluctuations

被引：10
|
作者：
L'Heureux, I [1 ]
机构：
[1] Univ Ottawa, Dept Phys, Ottawa, ON K1N 6N5, Canada
来源：
PHYSICAL REVIEW LETTERS | 2004年 / 93卷 / 18期
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.1103/PhysRevLett.93.180602
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the effects of quenched porosity fluctuations in the presence of nonlinear kinetics in a reaction-diffusion porous system. Adopting a weak-noise approximation and a mean-field assumption, a renormalized equation of motion for the average concentration of a chemical species is obtained. It is characterized by a smaller effective diffusion coefficient and by the presence of supplementary nonlinear reactive terms. Explicit results are given for a Gaussian porosity distribution and for a long-ranged one. Comparisons with simulations in one dimension are presented.
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页码：180602 / 1
页数：4
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