{
  "id": "cond-mat/0304068",
  "version": "v1",
  "published": "2003-04-02T22:51:21.000Z",
  "updated": "2003-04-02T22:51:21.000Z",
  "title": "Scaling law of Wolff cluster surface energy",
  "authors": [
    "Pai-Yi Hsiao",
    "Pascal Monceau"
  ],
  "comment": "12 pages, 3 figures. To appear in PRB",
  "journal": "Phys. Rev. B 67, 172403 (2003)",
  "doi": "10.1103/PhysRevB.67.172403",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the scaling properties of the clusters grown by the Wolff algorithm on seven different Sierpinski-type fractals of Hausdorff dimension $1 < d_f \\le 3$ in the framework of the Ising model. The mean absolute value of the surface energy of Wolff cluster follows a power law with respect to the lattice size. Moreover, we investigate the probability density distribution of the surface energy of Wolff cluster and are able to establish a new scaling relation. It enables us to introduce a new exponent associated to the surface energy of Wolff cluster. Finally, this new exponent is linked to a dynamical exponent via an inequality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-04-02T22:51:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "wolff cluster surface energy",
      "scaling law",
      "probability density distribution",
      "mean absolute value",
      "hausdorff dimension"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}