{
  "id": "1002.4279",
  "version": "v2",
  "published": "2010-02-23T09:29:53.000Z",
  "updated": "2010-05-21T08:45:42.000Z",
  "title": "On the non-ergodicity of the Swendsen-Wang-Kotecky algorithm on the kagome lattice",
  "authors": [
    "Bojan Mohar",
    "Jesús Salas"
  ],
  "comment": "Latex2e. 22 pages. Contains 11 figures using pstricks package. Uses iopart.sty. Final version accepted in journal",
  "journal": "J.Stat.Mech.1005:P05016,2010",
  "doi": "10.1088/1742-5468/2010/05/P05016",
  "categories": [
    "cond-mat.stat-mech",
    "hep-lat",
    "math.CO"
  ],
  "abstract": "We study the properties of the Wang-Swendsen-Kotecky cluster Monte Carlo algorithm for simulating the 3-state kagome-lattice Potts antiferromagnet at zero temperature. We prove that this algorithm is not ergodic for symmetric subsets of the kagome lattice with fully periodic boundary conditions: given an initial configuration, not all configurations are accessible via Monte Carlo steps. The same conclusion holds for single-site dynamics.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-05-21T08:45:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.50.+q",
      "02.50.Ga",
      "64.50.De",
      "02.10.Ox",
      "02.40.Re"
    ],
    "keywords": [
      "kagome lattice",
      "swendsen-wang-kotecky algorithm",
      "wang-swendsen-kotecky cluster monte carlo algorithm",
      "non-ergodicity",
      "kagome-lattice potts antiferromagnet"
    ],
    "tags": [
      "research tool",
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2010,
      "month": "May",
      "volume": 2010,
      "number": 5,
      "pages": 5016
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 856014,
      "adsabs": "2010JSMTE..05..016M"
    }
  }
}