par Gilbert, Thomas ;Sanders, Paul
Référence Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 80, 4, page (041121)
Publication Publié, 2009
Article révisé par les pairs
Résumé : In systems that exhibit deterministic diffusion, the gross parameter dependence of the diffusion coefficient can often be understood in terms of random-walk models. Provided the decay of correlations is fast enough, one can ignore memory effects and approximate the diffusion coefficient according to dimensional arguments. By successively including the effects of one and two steps of memory on this approximation, we examine the effects of "persistence" on the diffusion coefficients of extended two-dimensional billiard tables and show how to properly account for these effects using walks in which a particle undergoes jumps in different directions with probabilities that depend on where they came from. © 2009 The American Physical Society.