{
  "id": "cond-mat/0508734",
  "version": "v1",
  "published": "2005-08-30T15:42:45.000Z",
  "updated": "2005-08-30T15:42:45.000Z",
  "title": "Anomalous Scaling and Fractal Dimensions",
  "authors": [
    "Wolfhard Janke",
    "Adriaan M. J. Schakel"
  ],
  "comment": "3 pages, 1 figure",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The relation between critical exponents, characterizing a continuous phase transition, and the fractal structure of physical lines, proliferating at the critical point, is established by considering the two-dimensional O($N$) spin model for which many exact results are available.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-08-30T15:42:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractal dimensions",
      "anomalous scaling",
      "continuous phase transition",
      "fractal structure",
      "spin model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005cond.mat..8734J"
    }
  }
}