• Citer

Diffusion coefficients for multi-step persistent random walks on lattices

par Gilbert, Thomas ;Sanders, Paul
Référence Journal of Physics A: Mathematical and Theoretical, 43, 3, page (035001)
Publication Publié, 2010

Article révisé par les pairs

• Accès en ligne
• Détails
• Contenu
• Statistiques

Résumé :

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. © 2010 IOP Publishing Ltd.