{
  "id": "cond-mat/0005452",
  "version": "v1",
  "published": "2000-05-25T19:53:58.000Z",
  "updated": "2000-05-25T19:53:58.000Z",
  "title": "Scaling of crossing probabilities for the q-state Potts model at criticality",
  "authors": [
    "O. A. Vasilyev"
  ],
  "comment": "12 pages, 7 eps-figures",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We present study of finite-size scaling and universality of crossing probabilities for the $q$-state Potts model. Crossing probabilities of the Potts model are similar ones in percolation problem. We numerically investigated scaling of $\\pi_{s}$ - the probability of a system to percolate only in one direction for two-dimensional site percolation, the Ising model, and the q-state Potts model for $q=3,4,5,6,8,10$. We found the thermal scaling index $y= \\frac{1}{\\nu}$ for $q<4$. In contrast, $y \\ne \\frac{1}{\\nu}$ for $q=4$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-05-25T19:53:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "q-state potts model",
      "crossing probabilities",
      "probability",
      "criticality",
      "two-dimensional site percolation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 549374,
      "adsabs": "2000cond.mat..5452V"
    }
  }
}