Front propagation in A+B→2A reaction under subdiffusion

被引：25

作者：

Froemberg, D. ^{[1
]}

Schmidt-Martens, H. ^{[1
]}

Sokolov, I. M. ^{[1
]}

Sagues, F. ^{[2
]}

机构：

[1] Humboldt Univ, Inst Phys, D-12489 Berlin, Germany

[2] Univ Barcelona, Dept Quim Fis, E-08028 Barcelona, Spain

来源：

PHYSICAL REVIEW E | 2008年 / 78卷 / 01期

关键词：

D O I：

10.1103/PhysRevE.78.011128

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 consider an irreversible autocatalytic conversion reaction A+B -> 2A under subdiffusion described by continuous-time random walks. The reactants' transformations take place independently of their motion and are described by constant rates. The analog of this reaction in the case of normal diffusion is described by the Fisher-Kolmogorov-Petrovskii-Piskunov equation leading to the existence of a nonzero minimal front propagation velocity, which is really attained by the front in its stable motion. We show that for subdiffusion, this minimal propagation velocity is zero, which suggests propagation failure.

引用

页数：5

共 17 条

[1] Anomalous diffusion of proteins due to molecular crowding [J].