{
  "id": "cond-mat/0603803",
  "version": "v3",
  "published": "2006-03-30T03:27:30.000Z",
  "updated": "2007-11-18T00:30:34.000Z",
  "title": "Nonextensivity and the power-law distributions for the systems with self-gravitating long-range interactions",
  "authors": [
    "Du Jiulin"
  ],
  "comment": "21 pages,45 references",
  "journal": "Astrophys.Space Sci.312(2007)47-55",
  "doi": "10.1007/s10509-007-9611-8",
  "categories": [
    "cond-mat.stat-mech",
    "astro-ph"
  ],
  "abstract": "By a natural nonextensive generalization of the conservation of energy in the q-kinetic theory, we study the nonextensivity and the power-law distributions for the many-body systems with the self-gravitating long-range interactions. It is shown that the power-law distributions describe the long-range nature of the interactions and the non-local correlations within the self-gravitating system with the inhomogeneous velocity dispersion. A relation is established between the nonextensive parameter q and the measurable quantities of the self-gravitating system: the velocity dispersion and the mass density. Correspondingly, the nonextensive parameter q can be uniquely determined from the microscopic dynamical equation and thus the physical interpretation of q different from unity can be clearly presented. We derive a nonlinear differential equation for the radial density dependence of the self-gravitating system with the inhomogeneous velocity dispersion, which can correctly describe the density distribution for the dark matter in the above physical situation. We also apply this q-kinetic approach to analyze the nonextensivity of self-gravitating collisionless systems and self-gravitating gaseous dynamical systems, giving the power-law distributions the clear physical meaning.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-11-18T00:30:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "power-law distributions",
      "self-gravitating long-range interactions",
      "nonextensivity",
      "self-gravitating system",
      "inhomogeneous velocity dispersion"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 722407
    }
  }
}