{
  "id": "cond-mat/0202135",
  "version": "v2",
  "published": "2002-02-08T09:19:04.000Z",
  "updated": "2002-05-29T09:58:24.000Z",
  "title": "Critical Behavior and Lack of Self Averaging in the Dynamics of the Random Potts Model in Two Dimensions",
  "authors": [
    "C. Deroulers",
    "A. P. Young"
  ],
  "comment": "9 pages, 13 figures, final published version",
  "journal": "Phys. Rev. B 66, 14438 (2002)",
  "doi": "10.1103/PhysRevB.66.014438",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the dynamics of the q-state random bond Potts ferromagnet on the square lattice at its critical point by Monte Carlo simulations with single spin-flip dynamics. We concentrate on q=3 and q=24 and find, in both cases, conventional, rather than activated, dynamics. We also look at the distribution of relaxation times among different samples, finding different results for the two q values. For q=3 the relative variance of the relaxation time tau at the critical point is finite. However, for q=24 this appears to diverge in the thermodynamic limit and it is ln(tau) which has a finite relative variance. We speculate that this difference occurs because the transition of the corresponding pure system is second order for q=3 but first order for q=24.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-05-29T09:58:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random potts model",
      "critical behavior",
      "self averaging",
      "q-state random bond potts ferromagnet",
      "relaxation time"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}