{
  "id": "cond-mat/0204071",
  "version": "v3",
  "published": "2002-04-03T10:10:57.000Z",
  "updated": "2002-10-17T10:32:45.000Z",
  "title": "Transport coefficients of d-dimensional inelastic Maxwell models",
  "authors": [
    "Andres Santos"
  ],
  "comment": "29 pages, 7 figures; Elsevier style; Some equations and figures corrected; Accepted for publication in Physica A",
  "journal": "Physica A 321, 442-466 (2003)",
  "doi": "10.1016/S0378-4371(02)01005-1",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Due to the mathematical complexity of the Boltzmann equation for inelastic hard spheres, a kinetic model has recently been proposed whereby the collision rate (which is proportional to the relative velocity for hard spheres) is replaced by an average velocity-independent value. The resulting inelastic Maxwell model has received a large amount of recent interest, especially in connection with the high energy tail of homogeneous states. In this paper the transport coefficients of inelastic Maxwell models in d dimensions are derived by means of the Chapman-Enskog method for unforced systems as well as for systems driven by a Gaussian thermostat and by a white noise thermostat. Comparison with known transport coefficients of inelastic hard spheres shows that their dependence on inelasticity is captured by the inelastic Maxwell models only in a mild qualitative way. Paradoxically, a much simpler BGK-like model kinetic equation is closer to the results for inelastic hard spheres than the inelastic Maxwell model",
  "revisions": [
    {
      "version": "v3",
      "updated": "2002-10-17T10:32:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "d-dimensional inelastic maxwell models",
      "transport coefficients",
      "inelastic hard spheres",
      "simpler bgk-like model kinetic equation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}