{
  "id": "cond-mat/0204303",
  "version": "v1",
  "published": "2002-04-14T14:04:43.000Z",
  "updated": "2002-04-14T14:04:43.000Z",
  "title": "Thermodynamics and collapse of self-gravitating Brownian particles in D dimensions",
  "authors": [
    "C. Sire",
    "P. -H. Chavanis"
  ],
  "journal": "Phys.Rev. E66 (2002) 046133",
  "doi": "10.1103/PhysRevE.66.046133",
  "categories": [
    "cond-mat.stat-mech",
    "astro-ph"
  ],
  "abstract": "We address the thermodynamics (equilibrium density profiles, phase diagram, instability analysis...) and the collapse of a self-gravitating gas of Brownian particles in D dimensions, in both canonical and microcanonical ensembles. In the canonical ensemble, we derive the analytic form of the density scaling profile which decays as f(x)=x^{-\\alpha}, with alpha=2. In the microcanonical ensemble, we show that f decays as f(x)=x^{-\\alpha_{max}}, where \\alpha_{max} is a non-trivial exponent. We derive exact expansions for alpha_{max} and f in the limit of large D. Finally, we solve the problem in D=2, which displays rather rich and peculiar features.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-04-14T14:04:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "self-gravitating brownian particles",
      "thermodynamics",
      "dimensions",
      "equilibrium density profiles",
      "phase diagram"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 668594
    }
  }
}