{
  "id": "1206.6133",
  "version": "v2",
  "published": "2012-06-26T22:06:11.000Z",
  "updated": "2013-11-04T01:02:30.000Z",
  "title": "Influence of the interaction range on the thermostatistics of a classical many-body system",
  "authors": [
    "Leonardo J. L. Cirto",
    "Vladimir R. V. Assis",
    "Constantino Tsallis"
  ],
  "comment": "15 pages, 13 figures",
  "journal": "Physica A: Statistical Mechanics and its Applications, Volume 393, 1 January 2014, Pages 286--296",
  "doi": "10.1016/j.physa.2013.09.002",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We numerically study a one-dimensional system of $N$ classical localized planar rotators coupled through interactions which decay with distance as $1/r^\\alpha$ ($\\alpha \\ge 0$). The approach is a first principle one (\\textit{i.e.}, based on Newton's law), and yields the probability distribution of momenta. For $\\alpha$ large enough and $N\\gg1$ we observe, for longstanding states, the Maxwellian distribution, landmark of Boltzmann-Gibbs thermostatistics. But, for $\\alpha$ small or comparable to unity, we observe instead robust fat-tailed distributions that are quite well fitted with $q$-Gaussians. These distributions extremize, under appropriate simple constraints, the nonadditive entropy $S_q$ upon which nonextensive statistical mechanics is based. The whole scenario appears to be consistent with nonergodicity and with the thesis of the $q$-generalized Central Limit Theorem.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-11-04T01:02:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classical many-body system",
      "interaction range",
      "thermostatistics",
      "localized planar rotators",
      "instead robust fat-tailed distributions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.6133C"
    }
  }
}