Anomalous biased diffusion in a randomly layered medium

S. I. Denisov and H. Kantz
Phys. Rev. E 81, 021117 – Published 10 February 2010

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.

  • Figure
  • Received 5 November 2009

DOI:https://doi.org/10.1103/PhysRevE.81.021117

©2010 American Physical Society

Authors & Affiliations

S. I. Denisov1,2,* and H. Kantz1

  • 1Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, D-01187 Dresden, Germany
  • 2Sumy State University, 2 Rimsky-Korsakov Street, UA-40007 Sumy, Ukraine

  • *stdenis@pks.mpg.de

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Vol. 81, Iss. 2 — February 2010

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