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19 April 2024
 
  » pubmed » pmid15244741

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Kinetic theory of Jeans instability
S A Trigger ; A I Ershkovich ; G J F van Heijst ; P P J M Schram ;
Date 31 May 2004
Journal Phys Rev E, 69 (6 Pt 2), 066403
AbstractKinetic treatment of the Jeans gravitational instability, with collisions taken into account, is presented. The initial-value problem for the distribution function which obeys the kinetic equation, with the collision integral conserving the number of particles, is solved. Dispersion relation is obtained and analyzed. New modes are found. Collisions are shown not to affect the Jeans instability criterion. Although the instability growth rate diminishes, the collisions they cannot quench the instability. However, the oscillation spectrum is modified significantly: even in the neighborhood of the threshold frequency omega=0 (separating stable and unstable modes) the spectrum of oscillations can strongly depend on the collision frequency. Propagating (rather than aperiodic) modes are also found. These modes, however, are strongly damped.
Source PubMed, pmid15244741
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