{
  "id": "cond-mat/0511483",
  "version": "v1",
  "published": "2005-11-19T00:55:00.000Z",
  "updated": "2005-11-19T00:55:00.000Z",
  "title": "Breakdown of the Sonine expansion for the velocity distribution of Granular Gases",
  "authors": [
    "Nikolai V. Brilliantov",
    "Thorsten Poeschel"
  ],
  "comment": "7 pages, 3 figures",
  "doi": "10.1209/epl/i2005-10555-6",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The velocity distribution of a granular gas is analyzed in terms of the Sonine polynomials expansion. We derive an analytical expression for the third Sonine coefficient a_3. In contrast to frequently used assumptions this coefficient is of the same order of magnitude as the second Sonine coefficient a_2. For small inelasticity the theoretical result is in good agreement with numerical simulations. The next-order Sonine coefficients a_4, a_5 and a_6 are determined numerically. While these coefficients are negligible for small dissipation, their magnitude grows rapidly with increasing inelasticity for 0< epsilon < 0.6. We conclude that this behavior of the Sonine coefficients manifests the break down of the Sonine polynomial expansion caused by the increasing impact of the overpopulated high-energy tail of the distribution function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-11-19T00:55:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "velocity distribution",
      "granular gases",
      "sonine expansion",
      "third sonine coefficient",
      "sonine polynomial expansion"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}