{
  "id": "0710.0716",
  "version": "v2",
  "published": "2007-10-03T06:57:55.000Z",
  "updated": "2007-10-04T06:58:44.000Z",
  "title": "The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions",
  "authors": [
    "Emanuele Caglioti",
    "François Golse"
  ],
  "journal": "C. R. Math. Acad. Sci. Paris 346 (2008), no. 7-8, 477-482",
  "doi": "10.1016/j.crma.2008.01.016",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The periodic Lorentz gas is the dynamical system corresponding to the free motion of a point particle in a periodic system of fixed spherical obstacles of radius $r$ centered at the integer points, assuming all collisions of the particle with the obstacles to be elastic. In this Note, we study this motion on time intervals of order $1/r$ and in the limit as $r\\to 0^+$, in the case of two space dimensions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-10-04T06:58:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82C40",
      "37A60",
      "37D50",
      "11K50"
    ],
    "keywords": [
      "periodic lorentz gas",
      "space dimensions",
      "boltzmann-grad limit",
      "time intervals",
      "integer points"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.0716C"
    }
  }
}