{
  "id": "1305.5219",
  "version": "v1",
  "published": "2013-05-22T18:18:23.000Z",
  "updated": "2013-05-22T18:18:23.000Z",
  "title": "Approach to Equilibrium of a Body Colliding Specularly and Diffusely with a Sea of Particles",
  "authors": [
    "Xuwen Chen",
    "Walter Strauss"
  ],
  "journal": "Archive for Rational Mechanics and Analysis, Vol. 211 (2014), 879-910",
  "doi": "10.1007/s00205-013-0675-z",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider a rigid body acted upon by two forces, a constant force and the collective force of interaction with a continuum of particles. We assume that some of the particles that collide with the body reflect elastically (specularly), while others reflect probabilistically with some probablility distribution K. We find that the rate of approach of the body to equilibrium is O(t^{-3-p}) in three dimensions where p can take any value from 0 to 2, depending on K.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-22T18:18:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "body colliding",
      "equilibrium",
      "probablility distribution",
      "constant force",
      "rigid body"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Archive for Rational Mechanics and Analysis",
      "year": 2014,
      "month": "Mar",
      "volume": 211,
      "number": 3,
      "pages": 879
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014ArRMA.211..879C"
    }
  }
}