{ "id": "1202.1534", "version": "v1", "published": "2012-02-07T21:07:12.000Z", "updated": "2012-02-07T21:07:12.000Z", "title": "Crossover in Growth Law and Violation of Superuniversality in the Random Field Ising Model", "authors": [ "F. Corberi", "E. Lippiello", "A. Mukherjee", "S. Puri", "M. Zannetti" ], "comment": "To be published in Physical Review E", "journal": "Phys. Rev. E 85, 021141 (2012)", "doi": "10.1103/PhysRevE.85.021141", "categories": [ "cond-mat.dis-nn" ], "abstract": "We study the nonconserved phase ordering dynamics of the d = 2, 3 random field Ising model, quenched to below the critical temperature. Motivated by the puzzling results of previous work in two and three di- mensions, reporting a crossover from power-law to logarithmic growth, together with superuniversal behavior of the correlation function, we have undertaken a careful investigation of both the domain growth law and the autocorrelation function. Our main results are as follows: We confirm the crossover to asymptotic logarithmic behavior in the growth law, but, at variance with previous findings, the exponent in the preasymptotic power law is disorder-dependent, rather than being the one of the pure system. Furthermore, we find that the autocorre- lation function does not display superuniversal behavior. This restores consistency with previous results for the d = 1 system, and fits nicely into the unifying scaling scheme we have recently proposed in the study of the random bond Ising model.", "revisions": [ { "version": "v1", "updated": "2012-02-07T21:07:12.000Z" } ], "analyses": { "subjects": [ "05.50.+q", "75.50.Lk" ], "keywords": [ "random field ising model", "superuniversality", "preasymptotic power law", "random bond ising model", "asymptotic logarithmic behavior" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review E", "year": 2012, "month": "Feb", "volume": 85, "number": 2, "pages": "021141" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012PhRvE..85b1141C" } } }