{
  "id": "cond-mat/9901042",
  "version": "v1",
  "published": "1999-01-07T12:29:56.000Z",
  "updated": "1999-01-07T12:29:56.000Z",
  "title": "Finite-size scaling above the upper critical dimension revisited: The case of the five-dimensional Ising model",
  "authors": [
    "Erik Luijten",
    "Kurt Binder",
    "Henk W. J. Blöte"
  ],
  "comment": "9 pages, 13 Encapsulated PostScript figures. To appear in Eur. Phys. J. B. Also available as PDF file at http://www.cond-mat.physik.uni-mainz.de/~luijten/erikpubs.html",
  "journal": "Eur. Phys. J. B 9, 289 (1999)",
  "doi": "10.1007/s100510050768",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Monte Carlo results for the moments <M^k> of the magnetization distribution of the nearest-neighbor Ising ferromagnet in a L^d geometry, where L (4 \\leq L \\leq 22) is the linear dimension of a hypercubic lattice with periodic boundary conditions in d=5 dimensions, are analyzed in the critical region and compared to a recent theory of Chen and Dohm (CD) [X.S. Chen and V. Dohm, Int. J. Mod. Phys. C (1998)]. We show that this finite-size scaling theory (formulated in terms of two scaling variables) can account for the longstanding discrepancies between Monte Carlo results and the so-called ``lowest-mode'' theory, which uses a single scaling variable tL^{d/2} where t=T/T_c-1 is the temperature distance from the critical temperature, only to a very limited extent. While the CD theory gives a somewhat improved description of corrections to the ``lowest-mode'' results (to which the CD theory can easily be reduced in the limit t \\to 0, L \\to \\infty, tL^{d/2} fixed) for the fourth-order cumulant, discrepancies are found for the susceptibility (L^d <M^2>). Reasons for these problems are briefly discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-01-07T12:29:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "upper critical dimension",
      "five-dimensional ising model",
      "finite-size scaling",
      "monte carlo results",
      "cd theory"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}