Anomalous biased diffusion in a randomly layered medium

被引：8

作者：

Denisov, S. I. ^{[1
,2
]}

Kantz, H. ^{[1
]}

机构：

[1] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany

[2] Sumy State Univ, UA-40007 Sumy, Ukraine

来源：

PHYSICAL REVIEW E | 2010年 / 81卷 / 02期

关键词：

RANDOM-WALKS; TRANSPORT; PARTICLE; TIME; CROSSOVER; MOTION; CREEP;

D O I：

10.1103/PhysRevE.81.021117

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 present analytical results for the biased diffusion of particles moving under a constant force in a randomly layered medium. The influence of this medium on the particle dynamics is modeled by a piecewise constant random force. The long-time behavior of the particle position is studied in the frame of a continuous-time random walk on a semi-infinite one-dimensional lattice. We formulate the conditions for anomalous diffusion, derive the diffusion laws, and analyze their dependence on the particle mass and the distribution of the random force.

引用

页数：8

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