Condensation transition in zero-range processes with diffusion
Abstract
Recent studies have indicated that the coarse grained dynamics of a large class of traffic models and driven-diffusive systems may be described by urn models. We consider a class of one-dimensional urn models whereby particles hop from an urn to its nearest neighbor by a rate which decays with the occupation number k of the departure site as (1+b/k). In addition a diffusion process takes place, whereby all particles in an urn may hop to an adjacent one with some rate alpha$. Condensation transition which may take place in this model is studied and the (b,alpha) phase diagram is calculated within the mean field approximation and by numerical simulations. A driven-diffusive model whose coarse grained dynamics corresponds to this urn model is considered.
Cite
@article{arxiv.cond-mat/0402520,
title = {Condensation transition in zero-range processes with diffusion},
author = {E. Levine and D. Mukamel and G. Ziv},
journal= {arXiv preprint arXiv:cond-mat/0402520},
year = {2009}
}