{ "id": "cond-mat/0102036", "version": "v1", "published": "2001-02-02T13:32:59.000Z", "updated": "2001-02-02T13:32:59.000Z", "title": "Inequivalence of ensembles in a system with long range interactions", "authors": [ "Julien Barre'", "David Mukamel", "Stefano Ruffo" ], "comment": "Revtex, 4 pages with 3 figures, submitted to Phys. Rev. Lett., e-mail ruffo@avanzi.de.unifi.it", "journal": "Phys.Rev.Lett.87:030601,2001", "doi": "10.1103/PhysRevLett.87.030601", "categories": [ "cond-mat.stat-mech" ], "abstract": "We study the global phase diagram of the infinite range Blume-Emery-Griffiths model both in the canonical and in the microcanonical ensembles. The canonical phase diagram is known to exhibit first order and continuous transition lines separated by a tricritical point. We find that below the tricritical point, when the canonical transition is first order, the phase diagrams of the two ensembles disagree. In this region the microcanonical ensemble exhibits energy ranges with negative specific heat and temperature jumps at transition energies. These results can be extended to weakly decaying nonintegrable interactions.", "revisions": [ { "version": "v1", "updated": "2001-02-02T13:32:59.000Z" } ], "analyses": { "subjects": [ "05.50.+q", "05.70.Fh", "64.60.-i", "05.20.Gg" ], "keywords": [ "long range interactions", "first order", "inequivalence", "infinite range blume-emery-griffiths model", "global phase diagram" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "RevTeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "inspire": 666231 } } }