{
  "id": "cond-mat/0201285",
  "version": "v3",
  "published": "2002-01-16T16:51:23.000Z",
  "updated": "2002-05-24T08:28:36.000Z",
  "title": "Simulation of Potts models with real q and no critical slowing down",
  "authors": [
    "Ferdinando Gliozzi"
  ],
  "comment": "5 pages, 3 figures slightly extended version, to appear in Phys. Rev. E",
  "journal": "Phys.Rev.E66:016115,2002",
  "doi": "10.1103/PhysRevE.66.016115",
  "categories": [
    "cond-mat.stat-mech",
    "hep-lat",
    "hep-th"
  ],
  "abstract": "A Monte Carlo algorithm is proposed to simulate ferromagnetic q-state Potts model for any real q>0. A single update is a random sequence of disordering and deterministic moves, one for each link of the lattice. A disordering move attributes a random value to the link, regardless of the state of the system, while in a deterministic move this value is a state function. The relative frequency of these moves depends on the two parameters q and beta. The algorithm is not affected by critical slowing down and the dynamical critical exponent z is exactly vanishing. We simulate in this way a 3D Potts model in the range 2<q<3 for estimating the critical value q_c where the thermal transition changes from second-order to first-order, and find q_c=2.620(5).",
  "revisions": [
    {
      "version": "v3",
      "updated": "2002-05-24T08:28:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "critical slowing",
      "simulate ferromagnetic q-state potts model",
      "deterministic move",
      "simulation",
      "monte carlo algorithm"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 582181
    }
  }
}