{
  "id": "cond-mat/9807224",
  "version": "v1",
  "published": "1998-07-15T13:30:30.000Z",
  "updated": "1998-07-15T13:30:30.000Z",
  "title": "Extension of Haff's cooling law in granular flows",
  "authors": [
    "R. Brito",
    "M. H. Ernst"
  ],
  "comment": "7 pages, 4 PostScript figures. To be published in Europhysics Letters",
  "doi": "10.1209/epl/i1998-00388-9",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The total energy E(t) in a fluid of inelastic particles is dissipated through inelastic collisions. When such systems are prepared in a homogeneous initial state and evolve undriven, E(t) decays initially as t^{-2} \\aprox exp[ - 2\\epsilon \\tau] (known as Haff's law), where \\tau is the average number of collisions suffered by a particle within time t, and \\epsilon=1-\\alpha^2 measures the degree of inelasticity, with \\alpha the coefficient of normal restitution. This decay law is extended for large times to E(t) \\aprox \\tau^{-d/2} in d-dimensions, far into the nonlinear clustering regime. The theoretical predictions are quantitatively confirmed by computer simulations, and holds for small to moderate inelasticities with 0.6< \\alpha< 1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-07-15T13:30:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "haffs cooling law",
      "granular flows",
      "moderate inelasticities",
      "computer simulations",
      "total energy"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}