Condensation transition in zero-range processes with diffusion

Details Condensation transition in zero-range processes with diffusion Condensation transition in zero-range processes with diffusion

2004-02-20

arxiv.org/abs/cond-mat/0402520v1

J. Stat. Mech.: Theor. Exp. P05001 (2004).

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1088/1742-5468/2004/05/P05001

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.

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