{
  "id": "cond-mat/0210065",
  "version": "v2",
  "published": "2002-10-02T19:58:28.000Z",
  "updated": "2003-03-19T22:04:57.000Z",
  "title": "Entropy of chains placed on the square lattice",
  "authors": [
    "W. G. Dantas",
    "J. F. Stilck"
  ],
  "comment": "6 pages, 7 figures",
  "journal": "Physical Review E, 67, 31803 (2003)",
  "doi": "10.1103/PhysRevE.67.031803",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "We obtain the entropy of flexible linear chains composed of M monomers placed on the square lattice using a transfer matrix approach. An excluded volume interaction is included by considering the chains to be self-and mutually avoiding, and a fraction rho of the sites are occupied by monomers. We solve the problem exactly on stripes of increasing width m and then extrapolate our results to the two-dimensional limit to infinity using finite-size scaling. The extrapolated results for several finite values of M and in the polymer limit M to infinity for the cases where all lattice sites are occupied (rho=1) and for the partially filled case rho<1 are compared with earlier results. These results are exact for dimers (M=2) and full occupation (\\rho=1) and derived from series expansions, mean-field like approximations, and transfer matrix calculations for some other cases. For small values of M, as well as for the polymer limit M to infinity, rather precise estimates of the entropy are obtained.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-03-19T22:04:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "square lattice",
      "polymer limit",
      "transfer matrix calculations",
      "transfer matrix approach"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}