{ "id": "cond-mat/0106272", "version": "v1", "published": "2001-06-14T13:14:48.000Z", "updated": "2001-06-14T13:14:48.000Z", "title": "Nonequilibrium dynamics of the zeta urn model", "authors": [ "C. Godreche", "J. M. Luck" ], "comment": "30 pages, 1 figure", "journal": "Eur. Phys. J. B 23, 473-486 (2001)", "categories": [ "cond-mat.stat-mech" ], "abstract": "We consider a mean-field dynamical urn model, defined by rules which give the rate at which a ball is drawn from an urn and put in another one, chosen amongst an assembly. At equilibrium, this model possesses a fluid and a condensed phase, separated by a critical line. We present an analytical study of the nonequilibrium properties of the fluctuating number of balls in a given urn, considering successively the temporal evolution of its distribution, of its two-time correlation and response functions, and of the associated \\fd ratio, both along the critical line and in the condensed phase. For well separated times the \\fd ratio admits non-trivial limit values, both at criticality and in the condensed phase, which are universal quantities depending continuously on temperature.", "revisions": [ { "version": "v1", "updated": "2001-06-14T13:14:48.000Z" } ], "analyses": { "subjects": [ "02.50.Ey", "05.40.-a", "61.43.Fs" ], "keywords": [ "zeta urn model", "nonequilibrium dynamics", "condensed phase", "ratio admits non-trivial limit values", "critical line" ], "tags": [ "journal article" ], "publication": { "doi": "10.1007/s100510170039", "journal": "European Physical Journal B", "year": 2001, "month": "Oct", "volume": 23, "number": 4, "pages": 473 }, "note": { "typesetting": "TeX", "pages": 30, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001EPJB...23..473G" } } }