{
  "id": "cond-mat/0112310",
  "version": "v1",
  "published": "2001-12-17T14:23:52.000Z",
  "updated": "2001-12-17T14:23:52.000Z",
  "title": "Violation of finite-size scaling for the free energy near criticality",
  "authors": [
    "X. S. Chen",
    "V. Dohm"
  ],
  "comment": "4 pages, no figure",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The singular part of the finite-size free energy density $f_s$ of the O($n$) symmetric $\\phi^4$ field theory is calculated for confined geometries of linear size L with periodic boundary conditions in the large-N limit and with Dirichlet boundary conditions in one-loop order. We find that both a sharp cutoff and a subleading long-range interaction cause a non-universal L dependence of $f_s$ near $T_c$. For film geometry this implies a non-universal critical Casimir force with an algebraic L dependence that dominates the exponential finite-size scaling behavior above $T_c$ for both periodic and Dirichlet boundary conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-12-17T14:23:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dirichlet boundary conditions",
      "criticality",
      "finite-size free energy density",
      "periodic boundary conditions",
      "non-universal critical casimir force"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001cond.mat.12310C"
    }
  }
}