{ "id": "cond-mat/0610647", "version": "v2", "published": "2006-10-23T20:25:33.000Z", "updated": "2006-12-11T22:11:21.000Z", "title": "Wang-Landau/Multibondic Cluster Simulations for Second-Order Phase Transitions", "authors": [ "Bernd A. Berg", "Wolfhard Janke" ], "comment": "4 pages, 3 figures, RevTex style, updated version, to appear in Phys. Rev. Lett. (in print)", "journal": "Phys.Rev.Lett.98:040602,2007", "doi": "10.1103/PhysRevLett.98.040602", "categories": [ "cond-mat.stat-mech", "hep-lat" ], "abstract": "For a second-order phase transition the critical energy range of interest is larger than the energy range covered by a canonical Monte Carlo simulation at the critical temperature. Such an extended energy range can be covered by performing a Wang-Landau recursion for the spectral density followed by a multicanonical simulation with fixed weights. But in the conventional approach one loses the advantage due to cluster algorithms. A cluster version of the Wang-Landau recursion together with a subsequent multibondic simulation improves for 2D and 3D Ising models the efficiency of the conventional Wang-Landau/multicanonical approach by power laws in the lattice size. In our simulations real gains in CPU time reach two orders of magnitude.", "revisions": [ { "version": "v2", "updated": "2006-12-11T22:11:21.000Z" } ], "analyses": { "subjects": [ "64.60.Cn", "02.50.Ng", "05.10.Ln", "05.20.-y" ], "keywords": [ "second-order phase transition", "wang-landau/multibondic cluster simulations", "wang-landau recursion", "canonical monte carlo simulation", "subsequent multibondic simulation" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "RevTeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "inspire": 729898 } } }