{ "id": "0711.0856", "version": "v1", "published": "2007-11-06T13:48:32.000Z", "updated": "2007-11-06T13:48:32.000Z", "title": "First order transition in a three dimensional disordered system", "authors": [ "L. A. Fernandez", "A. Gordillo-Guerrero", "V. Martin-Mayor", "J. J. Ruiz-Lorenzo" ], "comment": "4 pages, 4 color figures", "journal": "Phys. Rev. Lett. 100, 057201 (2008)", "doi": "10.1103/PhysRevLett.100.057201", "categories": [ "cond-mat.stat-mech", "cond-mat.dis-nn" ], "abstract": "We present the first detailed numerical study in three dimensions of a first-order phase transition that remains first-order in the presence of quenched disorder (specifically, the ferromagnetic/paramagnetic transition of the site-diluted four states Potts model). A tricritical point, which lies surprisingly near to the pure-system limit and is studied by means of Finite-Size Scaling, separates the first-order and second-order parts of the critical line. This investigation has been made possible by a new definition of the disorder average that avoids the diverging-variance probability distributions that plague the standard approach. Entropy, rather than free energy, is the basic object in this approach that exploits a recently introduced microcanonical Monte Carlo method.", "revisions": [ { "version": "v1", "updated": "2007-11-06T13:48:32.000Z" } ], "analyses": { "subjects": [ "75.40.Mg", "05.50.+q", "75.40.Cx", "75.50.Lk" ], "keywords": [ "first order transition", "dimensional disordered system", "first-order phase transition", "states potts model", "diverging-variance probability distributions" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "year": 2008, "month": "Feb", "volume": 100, "number": 5, "pages": "057201" }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008PhRvL.100e7201F" } } }