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Condensation transition in zero-range processes with diffusion

E. Levine·D. Mukamel·G. Ziv
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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.

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E. Levine, D. Mukamel, G. Ziv. 2004-02-20. Condensation transition in zero-range processes with diffusion. https://doi.org/10.1088/1742-5468%2F2004%2F05%2Fp05001

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