{
  "id": "cond-mat/0104022",
  "version": "v2",
  "published": "2001-04-02T09:11:24.000Z",
  "updated": "2001-04-19T09:13:20.000Z",
  "title": "Gyration radius of a circular polymer under a topological constraint with excluded volume",
  "authors": [
    "Miyuki K. Shimamura",
    "Tetsuo Deguchi"
  ],
  "comment": "12pages,3figures",
  "doi": "10.1103/PhysRevE.64.020801",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "It is nontrivial whether the average size of a ring polymer should become smaller or larger under a topological constraint. Making use of some knot invariants, we evaluate numerically the mean square radius of gyration for ring polymers having a fixed knot type, where the ring polymers are given by self-avoiding polygons consisting of freely-jointed hard cylinders. We obtain plots of the gyration radius versus the number of polygonal nodes for the trivial, trefoil and figure-eight knots. We discuss possible asymptotic behaviors of the gyration radius under the topological constraint. In the asymptotic limit, the size of a ring polymer with a given knot is larger than that of no topological constraint when the polymer is thin, and the effective expansion becomes weak when the polymer is thick enough.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-04-19T09:13:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological constraint",
      "gyration radius",
      "circular polymer",
      "ring polymer",
      "excluded volume"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}