{
  "id": "1002.0494",
  "version": "v1",
  "published": "2010-02-02T14:32:47.000Z",
  "updated": "2010-02-02T14:32:47.000Z",
  "title": "Accurate estimate of the critical exponent $ν$ for self-avoiding walks via a fast implementation of the pivot algorithm",
  "authors": [
    "Nathan Clisby"
  ],
  "comment": "5 pages, 3 figures",
  "journal": "Phys. Rev. Lett. 104, 055702 (2010)",
  "doi": "10.1103/PhysRevLett.104.055702",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP",
    "physics.chem-ph"
  ],
  "abstract": "We introduce a fast implementation of the pivot algorithm for self-avoiding walks, which we use to obtain large samples of walks on the cubic lattice of up to $33 \\times 10^6$ steps. Consequently the critical exponent $\\nu$ for three-dimensional self-avoiding walks is determined to great accuracy; the final estimate is $\\nu=0.587597(7)$. The method can be adapted to other models of polymers with short-range interactions, on the lattice or in the continuum.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-02-02T14:32:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "64.60.De",
      "05.10.-a",
      "64.70.km",
      "68.35.Rh"
    ],
    "keywords": [
      "fast implementation",
      "pivot algorithm",
      "critical exponent",
      "accurate estimate",
      "large samples"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2010,
      "month": "Feb",
      "volume": 104,
      "number": 5,
      "pages": "055702"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvL.104e5702C"
    }
  }
}