{
  "id": "1601.04053",
  "version": "v1",
  "published": "2016-01-15T20:25:54.000Z",
  "updated": "2016-01-15T20:25:54.000Z",
  "title": "The scaling window of the 5D Ising model with free boundary conditions",
  "authors": [
    "P. H. Lundow",
    "K. Markström"
  ],
  "comment": "6 pages, 8 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The five-dimensional Ising model with free boundary conditions has recently received a renewed interest in a debate concerning the finite-size scaling of the susceptibility near the critical temperature. We provide evidence in favour of the conventional scaling picture, where the susceptibility scales as $O(L^2)$ inside a critical scaling window of width $O(1/L^2)$. Our results are based on Monte Carlo data gathered on system sizes up to $L=79$ (ca. three billion spins) for a wide range of temperatures near the critical point. We analyse the magnetisation distribution, the susceptibility and also the scaling and distribution of the size of the Fortuin-Kasteleyn cluster containing the origin. The probability of this cluster reaching the boundary determines the correlation length, and its behaviour agrees with the mean field critical exponent $\\delta=3$, that the scaling window has width $O(1/L^2)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-15T20:25:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "free boundary conditions",
      "scaling window",
      "5d ising model",
      "mean field critical exponent",
      "monte carlo data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1415954
    }
  }
}