Diffusion coefficients for multi-step persistent random walks on lattices

Details Diffusion coefficients for multi-step persistent random walks on lattices Diffusion coefficients for multi-step persistent random walks on lattices

2009-08-10

arxiv.org/abs/0908.1271v1

Physics

Condensed Matter

Statistical Mechanics

27 pages, 2 figures

Scientific paper

We calculate the diffusion coefficients of persistent random walks on lattices, where the direction of a walker at a given step depends on the memory of a certain number of previous steps. In particular, we describe a simple method which enables us to obtain explicit expressions for the diffusion coefficients of walks with two-step memory on different classes of one-, two- and higher-dimensional lattices.

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