{ "id": "cond-mat/0402520", "version": "v1", "published": "2004-02-20T13:15:01.000Z", "updated": "2004-02-20T13:15:01.000Z", "title": "Condensation transition in zero-range processes with diffusion", "authors": [ "E. Levine", "D. Mukamel", "G. Ziv" ], "journal": "J. Stat. Mech.: Theor. Exp. P05001 (2004).", "doi": "10.1088/1742-5468/2004/05/P05001", "categories": [ "cond-mat.stat-mech" ], "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.", "revisions": [ { "version": "v1", "updated": "2004-02-20T13:15:01.000Z" } ], "analyses": { "keywords": [ "condensation transition", "zero-range processes", "one-dimensional urn models", "mean field approximation", "coarse grained dynamics corresponds" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }