{
  "id": "cond-mat/0405253",
  "version": "v3",
  "published": "2004-05-12T10:38:40.000Z",
  "updated": "2005-01-11T14:03:42.000Z",
  "title": "What is the length of a knot in a polymer?",
  "authors": [
    "B. Marcone",
    "E. Orlandini",
    "A. L. Stella",
    "F. Zonta"
  ],
  "comment": "9 pages, 5 Postscript figures",
  "journal": "J. Phys. A: Math. Gen. 38 (2005) L15-L21",
  "doi": "10.1088/0305-4470/38/1/L03",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We give statistical definitions of the length, l, of a loose prime knot tied into a long, fluctuating ring macromolecule. Monte Carlo results for the equilibrium, good solvent regime show that < l > ~ N^t, where N is the ring length and t ~ 0.75 is independent of the knot topology. In the collapsed regime below the theta temperature, length determinations based on the entropic competition of different knots within the same ring show delocalization (t~1).",
  "revisions": [
    {
      "version": "v3",
      "updated": "2005-01-11T14:03:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "monte carlo results",
      "loose prime knot",
      "solvent regime",
      "knot topology",
      "theta temperature"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}