Time evolution of the reaction front in a subdiffusive system

被引：26

作者：

Kosztolowicz, Tadeusz ^{[1
]}

Lewandowska, Katarzyna D. ^{[2
]}

机构：

[1] Jan Kochanowski Univ Humanities & Sci, Inst Phys, PL-25406 Kielce, Poland

[2] Med Univ Gdansk, Dept Radiol Informat & Stat, PL-80210 Gdansk, Poland

来源：

PHYSICAL REVIEW E | 2008年 / 78卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.78.066103

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：

Using the quasistatic approximation, we show that in a subdiffusion-reaction system with arbitrary nonzero values of subdiffusion coefficients, the reaction front x(f)(t) evolves in time as x(f)(t) =Kt(alpha/2), with alpha being the subdiffusion parameter and K being controlled by the subdiffusion coefficients. To check the correctness of our analysis, we compare approximate analytical solutions of the subdiffusion-reaction equations with the numerical ones.

引用

页数：11

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