{ "id": "cond-mat/0609092", "version": "v1", "published": "2006-09-05T13:00:29.000Z", "updated": "2006-09-05T13:00:29.000Z", "title": "Hysteresis behavior of the random-field Ising model with 2-spin-flip dynamics: Exact results on a Bethe lattice", "authors": [ "Xavier Illa", "Martin-Luc Rosinberg", "Gilles Tarjus" ], "comment": "18 pages, 13 figures, submitted to EPJB", "journal": "Eur. Phys. J. B 54, 355-368 (2006)", "doi": "10.1140/epjb/e2007-00010-2", "categories": [ "cond-mat.dis-nn", "cond-mat.stat-mech" ], "abstract": "We present an exact treatment of the hysteresis behavior of the zero-temperature random-field Ising model on a Bethe lattice when it is driven by an external field and evolved according to a 2-spin-flip dynamics. We focus on lattice connectivities z=2 (the one-dimensional chain) and z=3. For the latter case, we demonstrate the existence of an out-of-equilibrium phase transition, in contrast with the situation found with the standard 1-spin-flip dynamics. We discuss the influence of the degree of cooperativity of the (local) spin dynamics of the nonequilibrium response on the system.", "revisions": [ { "version": "v1", "updated": "2006-09-05T13:00:29.000Z" } ], "analyses": { "keywords": [ "hysteresis behavior", "bethe lattice", "exact results", "zero-temperature random-field ising model", "out-of-equilibrium phase transition" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable" } } }