Diffusion coefficients for multi-step persistent random walks on lattices
Statistical Mechanics
2013-02-07 v1
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.
Cite
@article{arxiv.0908.1271,
title = {Diffusion coefficients for multi-step persistent random walks on lattices},
author = {Thomas Gilbert and David P. Sanders},
journal= {arXiv preprint arXiv:0908.1271},
year = {2013}
}
Comments
27 pages, 2 figures