{
  "id": "cond-mat/9901105",
  "version": "v2",
  "published": "1999-01-12T16:59:39.000Z",
  "updated": "1999-06-28T21:09:08.000Z",
  "title": "Fermi Statistics of Weakly Exicted Granular Systems in a Vibrating Bed I: Molecular Dynamics Simulations",
  "authors": [
    "Paul V. Quinn",
    "Daniel C. Hong"
  ],
  "comment": "16 pages including captions and references and 9 figures",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.mtrl-sci"
  ],
  "abstract": "Molecular dynamics simulations were carried out to test the thermodynamic theory of weakly excited, two-dimensional granular systems [Hayakawa and Hong, Phys. Rev. Lett. 78, 2764 (1997)], where granular materials are viewed as a collection of spinless Fermions. We first determine the global temperature T by fitting the steady state density profile to the Fermi distribution function, and then measure the center of mass, <z(T)>, and its fluctuations, <(\\Delta z(T))^2> as a function of T. We find a fairly good agreement between theory and simulations, in particular, in the estimation of the temperature and the scaling behavior of <z(T)> and <(\\Delta z(T))^2>.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1999-06-28T21:09:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "molecular dynamics simulations",
      "weakly exicted granular systems",
      "fermi statistics",
      "two-dimensional granular systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999cond.mat..1105Q"
    }
  }
}