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Jeans' gravitational instability and nonextensive kinetic theory

Astronomy and astrophysics (Berlin), 2002-12, Vol.396 (1), p.309-313 [Peer Reviewed Journal]

ISSN: 0004-6361 ;EISSN: 1432-0746 ;DOI: 10.1051/0004-6361:20021395

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  • Title:
    Jeans' gravitational instability and nonextensive kinetic theory
  • Author: Lima, J. A. S. ; Silva, R. ; Santos, J.
  • Subjects: gravitation ; hydrodynamics
  • Is Part Of: Astronomy and astrophysics (Berlin), 2002-12, Vol.396 (1), p.309-313
  • Description: The concept of Jeans gravitational instability is rediscussed in the framework of nonextensive statistics and its associated kinetic theory. A simple analytical formula generalizing the Jeans criterion is derived by assuming that the unperturbed self-gravitating collisionless gas is kinetically described by the q-parameterized class of power law velocity distributions. It is found that the critical values of wavelength and mass depend explicitly on the nonextensive q-parameter. The standard Jeans wavelength derived for a Maxwellian distribution is recovered in the limiting case $q=1$. For power-law distributions with cutoff, the instability condition is weakened with the system becoming unstable even for wavelengths of the disturbance smaller than the standard Jeans length $\lambda_{\rm J}$.
  • Publisher: EDP Sciences
  • Language: English
  • Identifier: ISSN: 0004-6361
    EISSN: 1432-0746
    DOI: 10.1051/0004-6361:20021395
  • Source: Alma/SFX Local Collection
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