Anomalous biased diffusion in a randomly layered medium

Details Anomalous biased diffusion in a randomly layered medium Anomalous biased diffusion in a randomly layered medium

2010-01-07

arxiv.org/abs/1001.1142v1

Phys. Rev. E 81, 021117 (2010)

Physics

Condensed Matter

Statistical Mechanics

19 pages, 1 figure

Scientific paper

10.1103/PhysRevE.81.021117

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.

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