{
  "id": "cond-mat/0007422",
  "version": "v2",
  "published": "2000-07-26T17:27:20.000Z",
  "updated": "2000-11-08T11:22:43.000Z",
  "title": "Universal behavior in the static and dynamic properties of the $α$-XY model",
  "authors": [
    "Andrea Giansanti",
    "Daniele Moroni",
    "Alessandro Campa"
  ],
  "comment": "23 pages, REVTEX 9 eps figures included. Talk presented at the Int. Conf. on \"Classical and Quantum Complexity and Nonextensive Thermodynamics\", Denton (Texas) April 3-6 2000 Revised version, accepted for publication in Chaos Solitons and Fractals",
  "journal": "Chaos, Solitons and Fractals 13, 407 (2002)",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The $\\alpha$-XY model generalizes, through the introduction of a power-law decaying potential, a well studied mean-field hamiltonian model with attractive long-range interactions. In the $\\alpha$-model, the interaction between classical rotators on a lattice is gauged by the exponent $\\alpha$ in the couplings decaying as $r^\\alpha$, where $r$ are distances between sites. We review and comment here a few recent results on the static and dynamic properties of the $\\alpha$-model. We discuss the appropriate $\\alpha$ dependent rescalings that map the canonical thermodynamics of the $\\alpha$-model into that of the mean field model. We also show that the chaotic properties of the model, studied as a function of $\\alpha$ display an universal behaviour.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-11-08T11:22:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dynamic properties",
      "universal behavior",
      "mean-field hamiltonian model",
      "xy model generalizes",
      "mean field model"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000cond.mat..7422G"
    }
  }
}