{ "id": "cond-mat/0409422", "version": "v1", "published": "2004-09-16T13:03:06.000Z", "updated": "2004-09-16T13:03:06.000Z", "title": "Canonical local algorithms for spin systems: Heat Bath and Hasting's methods", "authors": [ "D. Loison", "C. Qin", "K. D. Schotte", "X. F. Jin" ], "comment": "42 pages, 17 figures, to be pubhlished in Eur. Phys. J. B", "journal": "Euro. Phys. J. B 41 (2004) 395", "doi": "10.1140/epjb/e2004-00332-5", "categories": [ "cond-mat.stat-mech" ], "abstract": "We introduce new fast canonical local algorithms for discrete and continuous spin systems. We show that for a broad selection of spin systems they compare favorably to the known ones except for the Ising +/-1 spins. The new procedures use discretization scheme and the necessary information have to be stored in computer memory before the simulation. The models for testing discrete spins are the Ising +/-1, the general Ising S or Blume-Capel model, the Potts and the clock models. The continuous spins we examine are the O(N) models, including the continuous Ising model (N=1), the \\phi^4 Ising model (N=1), the XY model (N=2), the Heisenberg model (N=3), the \\phi^4 Heisenberg model (N=3), the O(4) model with applications to the SU(2) lattice gauge theory, and the general O(N) vector spins with N\\ge5.", "revisions": [ { "version": "v1", "updated": "2004-09-16T13:03:06.000Z" } ], "analyses": { "keywords": [ "spin systems", "heat bath", "hastings methods", "heisenberg model", "continuous spin" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 42, "language": "en", "license": "arXiv", "status": "editable" } } }