Diffusion coefficients for multi-step persistent random walks on lattices

作者:Gilbert Thomas*; Sanders David P
来源:Journal of Physics A-Mathematical and Theoretical, 2010, 43(3): 035001.
DOI:10.1088/1751-8113/43/3/035001

摘要

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 a two-step memory on different classes of one-, two- and higher dimensional lattices.

  • 出版日期2010-1-22