{
  "id": "cond-mat/0501676",
  "version": "v1",
  "published": "2005-01-27T17:54:20.000Z",
  "updated": "2005-01-27T17:54:20.000Z",
  "title": "On the higher order corrections to the Fokker-Planck equation",
  "authors": [
    "A. V. Plyukhin"
  ],
  "comment": "to appear in Physica A",
  "journal": "Physica A 351, 198 (2005)",
  "doi": "10.1016/j.physa.2004.11.068",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The Rayleigh model of nonlinear Brownian motion is revisited in which the heavy particle of mass M interacts with ideal gas molecules of mass m via instantaneous collisions. Using the van Kampen method of expansion of the master equation, non-linear corrections to the Fokker-Planck equation are obtained up to sixth order in the small parameter m/M, improving earlier results. The role and origin of non-Gaussian statistics of the random force in the corresponding Langevin equation are also discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-01-27T17:54:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "higher order corrections",
      "fokker-planck equation",
      "small parameter m/m",
      "van kampen method",
      "ideal gas molecules"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}