Flux reversal in a simple random walk model on a fluctuating symmetric lattice

Details Flux reversal in a simple random walk model on a fluctuating symmetric lattice Flux reversal in a simple random walk model on a fluctuating symmetric lattice

2006-07-13

arxiv.org/abs/cond-mat/0607337v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, 3 Figures, (to appear in Physical Review E)

Scientific paper

10.1103/PhysRevE.74.021112

A rather simple random walk model on a one-dimensional lattice is put forward. The lattice as a whole switches randomly between two possible states which are spatially symmetric. Both lattice states are identical, but translated by one site with respect to each other, and consist of infinite arrays of absorbing sites separated by two non-absorbing sites. Exact explicit expressions for the long-time velocity and the effective diffusion coefficient are obtained and discussed. In particular, it is shown that the direction of the steady motion can be reversed by conveniently varying the values of either the mean residence times in the lattice states or the transition rates to the absorbing and non-absorbing sites.

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