Condensation transition in zero-range processes with diffusion
arXiv:cond-mat/0402520 · doi:10.1088/1742-5468/2004/05/P05001
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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Cited by in corpus (5)
- Canonical Analysis of Condensation in Factorised Steady State
- Condensation transition in joint large deviations of linear statistics
- Mass-Transport Models with Fragmentation and Aggregation
- Maintenance of order in a moving strong condensate
- Condensation transition in a model with attractive particles and non-local hops