{
  "id": "cond-mat/0601344",
  "version": "v2",
  "published": "2006-01-16T13:31:48.000Z",
  "updated": "2006-02-13T16:34:45.000Z",
  "title": "On the mean Euler characteristic and mean Betti numbers of the Ising model with arbitrary spin",
  "authors": [
    "Philippe Blanchard",
    "Christophe Dobrovolny",
    "Daniel Gandolfo",
    "Jean Ruiz"
  ],
  "comment": "12 pages",
  "doi": "10.1088/1742-5468/2006/03/P03011",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP",
    "physics.comp-ph"
  ],
  "abstract": "The behaviour of the mean Euler-Poincar\\'{e} characteristic and mean Betti's numbers in the Ising model with arbitrary spin on $\\mathbbm{Z}^2$ as functions of the temperature is investigated through intensive Monte Carlo simulations. We also consider these quantities for each color $a$ in the state space $S\\_Q = \\{- Q, - Q + 2, ..., Q \\}$ of the model. We find that these topological invariants show a sharp transition at the critical point.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-02-13T16:34:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mean euler characteristic",
      "mean betti numbers",
      "arbitrary spin",
      "ising model",
      "intensive monte carlo simulations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2006,
      "month": "Mar",
      "volume": 2006,
      "number": 3,
      "pages": 3011
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006JSMTE..03..011B"
    }
  }
}