{
  "id": "cond-mat/0305171",
  "version": "v1",
  "published": "2003-05-08T13:34:08.000Z",
  "updated": "2003-05-08T13:34:08.000Z",
  "title": "The stochastic process of equilibrium fluctuations, of a system with long range interactions",
  "authors": [
    "Freddy Bouchet"
  ],
  "comment": "4 pages; 2 figures",
  "journal": "Phys. Rev. E 70, 036113 (2004)",
  "doi": "10.1103/PhysRevE.70.036113",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The relaxation towards equilibrium of systems with long range interactions is not yet fully understood. As a step towards such a comprehension, we propose the study of the dynamical equilibrium fluctuations in a model system with long range interaction. We compute analytically, from the microscopic dynamics, the autocorrelation function of the order parameter. From this result, we derive analytically a Fokker Planck equation which describes the stochastic process of the impulsion of a single particle in an equilibrium bath. The diffusion coefficient is explicitly computed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-05-08T13:34:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "long range interaction",
      "stochastic process",
      "fokker planck equation",
      "microscopic dynamics",
      "order parameter"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}