{
  "id": "cond-mat/0302170",
  "version": "v1",
  "published": "2003-02-10T17:04:45.000Z",
  "updated": "2003-02-10T17:04:45.000Z",
  "title": "Hydrodynamic Modes for Granular Gases",
  "authors": [
    "James W. Dufty",
    "J. Javier Brey"
  ],
  "doi": "10.1103/PhysRevE.68.030302",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The eigenfunctions and eigenvalues of the linearized Boltzmann equation for inelastic hard spheres (d=3) or disks (d=2) corresponding to d+2 hydrodynamic modes, are calculated in the long wavelength limit for a granular gas. The transport coefficients are identified and found to agree with those from the Chapman-Enskog solution. The dominance of hydrodynamic modes at long times and long wavelengths is studied via an exactly solvable kinetic model. A collisional continuum is bounded away from the hydrodynamic spectrum, assuring a hydrodynamic description at long times. The bound is closely related to the power law decay of the velocity distribution in the reference homogeneous cooling state.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-02-10T17:04:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hydrodynamic modes",
      "granular gases",
      "long times",
      "long wavelength limit",
      "inelastic hard spheres"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}