{
  "id": "cond-mat/0004329",
  "version": "v1",
  "published": "2000-04-19T10:08:29.000Z",
  "updated": "2000-04-19T10:08:29.000Z",
  "title": "Dynamic critical behavior of cluster algorithms for 2D Ashkin-Teller and Potts models",
  "authors": [
    "J. Salas"
  ],
  "comment": "19 pages, LaTeX2e. Self-unpacking file containing the tex file, three macros and four ps files. Talk presented at the conference on Inhomogeneous Random Systems, Universit\\'e de Cergy-Pontoise, 25 January 2000. To appear in Markov Processes and Related Fields",
  "journal": "Markov Process. Related Fields 7 (2001) 55-74",
  "categories": [
    "cond-mat.stat-mech",
    "hep-lat"
  ],
  "abstract": "We study the dynamic critical behavior of two algorithms: the Swendsen-Wang algorithm for the two-dimensional Potts model with q=2,3,4 and a Swendsen-Wang-type algorithm for the two-dimensional symmetric Ashkin-Teller model on the self-dual curve. We find that the Li--Sokal bound on the autocorrelation time \\tau_{{\\rm int},{\\cal E}} \\geq const \\times C_H is almost, but not quite sharp. The ratio \\tau_{{\\rm int},{\\cal E}}/C_H appears to tend to infinity either as a logarithm or as a small power (0.05 \\ltapprox p \\ltapprox 0.12). We also show that the exponential autocorrelation time \\tau_{{\\rm exp},{\\cal E}} is proportional to the integrated autocorrelation time \\tau_{{\\rm int},{\\cal E}}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-04-19T10:08:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dynamic critical behavior",
      "cluster algorithms",
      "2d ashkin-teller",
      "two-dimensional symmetric ashkin-teller model",
      "exponential autocorrelation time"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 526391,
      "adsabs": "2000cond.mat..4329S"
    }
  }
}