{
  "id": "cond-mat/0409039",
  "version": "v2",
  "published": "2004-09-02T02:10:30.000Z",
  "updated": "2004-10-07T23:37:42.000Z",
  "title": "Self-avoiding walks and polygons on the triangular lattice",
  "authors": [
    "Iwan Jensen"
  ],
  "comment": "24 pages, 6 figures",
  "journal": "J. Stat. Mech., P10008 (2004)",
  "doi": "10.1088/1742-5468/2004/10/P10008",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We use new algorithms, based on the finite lattice method of series expansion, to extend the enumeration of self-avoiding walks and polygons on the triangular lattice to length 40 and 60, respectively. For self-avoiding walks to length 40 we also calculate series for the metric properties of mean-square end-to-end distance, mean-square radius of gyration and the mean-square distance of a monomer from the end points. For self-avoiding polygons to length 58 we calculate series for the mean-square radius of gyration and the first 10 moments of the area. Analysis of the series yields accurate estimates for the connective constant of triangular self-avoiding walks, $\\mu=4.150797226(26)$, and confirms to a high degree of accuracy several theoretical predictions for universal critical exponents and amplitude combinations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-10-07T23:37:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "self-avoiding walks",
      "triangular lattice",
      "series yields accurate estimates",
      "mean-square radius",
      "mean-square end-to-end distance"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}