{
  "id": "1402.7014",
  "version": "v2",
  "published": "2014-02-27T18:49:00.000Z",
  "updated": "2014-04-07T14:59:48.000Z",
  "title": "Homogeneous states in driven granular mixtures: Enskog kinetic theory versus molecular dynamics simulations",
  "authors": [
    "Nagi Khalil",
    "Vicente Garzó"
  ],
  "comment": "11 pages, 5 figures, to be published in J. Chem. Phys",
  "journal": "J. Chem. Phys. 140, 164901 (2014)",
  "doi": "10.1063/1.4871628",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The homogeneous state of a binary mixture of smooth inelastic hard disks or spheres is analyzed. The mixture is driven by a thermostat composed by two terms: a stochastic force and a drag force proportional to the particle velocity. The combined action of both forces attempts to model the interaction of the mixture with a bath or surrounding fluid. The problem is studied by means of two independent and complementary routes. First, the Enskog kinetic equation with a Fokker-Planck term describing interactions of particles with thermostat is derived. The ratio of kinetic temperatures $T_1/T_2$ and the fourth-degree velocity moments $\\lambda_1$ and $\\lambda_2$ (which measure non-Gaussian properties of $\\varphi_i$) are explicitly determined as a function of the mass ratio, size ratio, composition, density and coefficients of restitution. Secondly, to assess the reliability of the theoretical results, molecular dynamics simulations of a binary granular mixture of spheres are performed for two values of the coefficient of restitution ($\\alpha=0.9$ and 0.8) and three different solid volume fractions ($\\phi=0.00785$, 0.1 and 0.2). Comparison between kinetic theory and computer simulations for the temperature ratio shows excellent agreement, even for moderate densities and strong dissipation. In the case of the cumulants $\\lambda_1$ and $\\lambda_2$, good agreement is found for the lower densities although significant discrepancies between theory and simulation are observed with increasing density.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-04-07T14:59:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "molecular dynamics simulations",
      "enskog kinetic theory",
      "driven granular mixtures",
      "homogeneous state",
      "smooth inelastic hard disks"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Chemical Physics",
      "year": 2014,
      "month": "Apr",
      "volume": 140,
      "number": 16,
      "pages": 164901
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014JChPh.140p4901K"
    }
  }
}