{
  "id": "cond-mat/0108538",
  "version": "v1",
  "published": "2001-08-31T14:25:46.000Z",
  "updated": "2001-08-31T14:25:46.000Z",
  "title": "Scaling of Self-Avoiding Walks and Self-Avoiding Trails in Three Dimensions",
  "authors": [
    "T. Prellberg"
  ],
  "doi": "10.1088/0305-4470/34/43/102",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Motivated by recent claims of a proof that the length scale exponent for the end-to-end distance scaling of self-avoiding walks is precisely $7/12=0.5833...$, we present results of large-scale simulations of self-avoiding walks and self-avoiding trails with repulsive contact interactions on the hypercubic lattice. We find no evidence to support this claim; our estimate $\\nu=0.5874(2)$ is in accord with the best previous results from simulations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-08-31T14:25:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "self-avoiding walks",
      "self-avoiding trails",
      "dimensions",
      "length scale exponent",
      "hypercubic lattice"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}