{ "id": "cond-mat/0504711", "version": "v3", "published": "2005-04-27T08:50:56.000Z", "updated": "2005-08-01T17:09:31.000Z", "title": "Current fluctuations in the zero-range process with open boundaries", "authors": [ "R. J. Harris", "A. Rákos", "G. M. Schuetz" ], "comment": "25 pages, 6 figures. v2: refined argument in Sec. 3, removed appendix, fixed typos + updated references. v3: some changes in wording to make clear that we consider the case of fixed initial particle configuration. To be published in Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing Ltd, http://www.iop.org", "journal": "J. Stat. Mech. (2005) P08003", "doi": "10.1088/1742-5468/2005/08/P08003", "categories": [ "cond-mat.stat-mech" ], "abstract": "We discuss the long-time limit of the integrated current distribution for the one-dimensional zero-range process with open boundaries. We observe that the current fluctuations become site-dependent above some critical current and argue that this is a precursor of the condensation transition which occurs in such models. Our considerations for the totally asymmetric zero-range process are complemented by a Bethe ansatz treatment for the equivalent exclusion process.", "revisions": [ { "version": "v3", "updated": "2005-08-01T17:09:31.000Z" } ], "analyses": { "keywords": [ "current fluctuations", "open boundaries", "equivalent exclusion process", "bethe ansatz treatment", "one-dimensional zero-range process" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable" } } }