{
  "id": "cond-mat/0305238",
  "version": "v1",
  "published": "2003-05-11T16:23:49.000Z",
  "updated": "2003-05-11T16:23:49.000Z",
  "title": "Knot Probability for Self-Avoiding Loops on a Cubic Lattice",
  "authors": [
    "Yacov Kantor",
    "Mehran Kardar"
  ],
  "comment": "RevTeX4, 4 pages, 4 eps figures",
  "journal": "ARI (Bull. Istanbul Tech. Univesity) 54(2), 1 (2004)",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "We investigate the probability for appearance of knots in self-avoiding loops (SALs) on a cubic lattice. A set of N-step loops is generated by attempting to combine pairs of (N/2)-step self-avoiding walks constructed by a dimerization method. We demonstrate that our method produces unbiased samples of SALs, and study the knot formation probability as a function of loop size. Our results corroborate the conclusions of Yao et. al. with loops generated by a Monte Carlo method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-05-11T16:23:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cubic lattice",
      "self-avoiding loops",
      "knot probability",
      "method produces unbiased samples",
      "knot formation probability"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003cond.mat..5238K"
    }
  }
}