{
  "id": "math-ph/0606052",
  "version": "v2",
  "published": "2006-06-20T21:09:26.000Z",
  "updated": "2007-02-21T17:48:49.000Z",
  "title": "Vortices and Magnetization in Kac's Model",
  "authors": [
    "Hicham El-Bouanani",
    "Michel Rouleux"
  ],
  "journal": "Journal of Statistical Physics 128, 3 (2007) 741-770",
  "doi": "10.1007/s10955-007-9319-8",
  "categories": [
    "math-ph",
    "cond-mat.stat-mech",
    "math.MP"
  ],
  "abstract": "We consider a 2-dimensional planar rotator on a large, but finite lattice with a ferromagnetic Kac potential $J_\\gamma(i)=\\gamma^2J(\\gamma i)$, $J$ with compact support. The system is subject to boundary conditions with vorticity. Using a Glauber like dynamics, we compute minimizers of the free energy functional at low temperature, i.e. in the regime of phase transition. We have the numerical evidence of a vortex structure for minimizers, which present many common features with those of the Ginzburg-Landau functional.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-02-21T17:48:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "64.60.Cn",
      "35Qxx"
    ],
    "keywords": [
      "kacs model",
      "magnetization",
      "ferromagnetic kac potential",
      "free energy functional",
      "phase transition"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}