Work

Anomalous biased diffusion in a randomly layered medium

Year: 2010

Type: article

Abstract: 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.

Source: Physical Review E

DOI: 10.1103/physreve.81.021117

Authors: S. I. Denisov, H. Kantz

Institutions: Sumy State University, Max Planck Institute for the Physics of Complex Systems

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2022019885

FWCI: 1.361

Cites: 41

Cited by: 10

Related to: 10