{
  "id": "cond-mat/9804132",
  "version": "v1",
  "published": "1998-04-14T07:33:37.000Z",
  "updated": "1998-04-14T07:33:37.000Z",
  "title": "The McCoy-Wu Model in the Mean-field Approximation",
  "authors": [
    "Bertrand Berche",
    "Pierre Emmanuel Berche",
    "Ferenc Iglói",
    "Gábor Palágyi"
  ],
  "comment": "LaTeX file with iop macros, 13 pages, 7 eps figures, to appear in J. Phys. A",
  "journal": "J. Phys. A 31 (1998) 5193-5202",
  "doi": "10.1088/0305-4470/31/23/003",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We consider a system with randomly layered ferromagnetic bonds (McCoy-Wu model) and study its critical properties in the frame of mean-field theory. In the low-temperature phase there is an average spontaneous magnetization in the system, which vanishes as a power law at the critical point with the critical exponents $\\beta \\approx 3.6$ and $\\beta_1 \\approx 4.1$ in the bulk and at the surface of the system, respectively. The singularity of the specific heat is characterized by an exponent $\\alpha \\approx -3.1$. The samples reduced critical temperature $t_c=T_c^{av}-T_c$ has a power law distribution $P(t_c) \\sim t_c^{\\omega}$ and we show that the difference between the values of the critical exponents in the pure and in the random system is just $\\omega \\approx 3.1$. Above the critical temperature the thermodynamic quantities behave analytically, thus the system does not exhibit Griffiths singularities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-04-14T07:33:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mccoy-wu model",
      "mean-field approximation",
      "power law distribution",
      "critical exponents",
      "random system"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}