{
  "id": "0808.1179",
  "version": "v2",
  "published": "2008-08-08T09:20:38.000Z",
  "updated": "2008-10-14T11:26:50.000Z",
  "title": "Heat conductivity from molecular chaos hypothesis in locally confined billiard systems",
  "authors": [
    "Thomas Gilbert",
    "Raphael Lefevere"
  ],
  "comment": "4 pages, 2 color figures",
  "journal": "Phys. Rev. Lett. 101 200601 (2008)",
  "doi": "10.1103/PhysRevLett.101.200601",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP",
    "math.PR",
    "nlin.CD"
  ],
  "abstract": "We study the transport properties of a large class of locally confined Hamiltonian systems, in which neighboring particles interact through hard core elastic collisions. When these collisions become rare and the systems large, we derive a Boltzmann-like equation for the evolution of the probability densities. We solve this equation in the linear regime and compute the heat conductivity from a Green-Kubo formula. The validity of our approach is demonstated by comparing our predictions to the results of numerical simulations performed on a new class of high-dimensional defocusing chaotic billiards.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-10-14T11:26:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.20.Dd",
      "05.45.-a",
      "05.60.-k",
      "05.70.Ln"
    ],
    "keywords": [
      "locally confined billiard systems",
      "molecular chaos hypothesis",
      "heat conductivity",
      "hard core elastic collisions",
      "high-dimensional defocusing chaotic billiards"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2008,
      "month": "Nov",
      "volume": 101,
      "number": 20,
      "pages": 200601
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvL.101t0601G"
    }
  }
}