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arXiv · 0908.1271

Diffusion coefficients for multi-step persistent random walks on lattices

Thomas Gilbert·David P. Sanders
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Abstract

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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Thomas Gilbert, David P. Sanders. 2009-08-10. Diffusion coefficients for multi-step persistent random walks on lattices. https://doi.org/10.1088/1751-8113/43/3/035001

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