Stability theory of the orbit-averaged Boltzmann equation

Details Stability theory of the orbit-averaged Boltzmann equation Stability theory of the orbit-averaged Boltzmann equation

Nov 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980apj...241.1141i&link_type=abstract

Astrophysical Journal, Part 1, vol. 241, Nov. 1, 1980, p. 1141-1147.

Other

19

Boltzmann Transport Equation, Dynamic Stability, Stellar Evolution, Stellar Motions, Stellar Systems, Angular Momentum, Equilibrium Equations, Fokker-Planck Equation, Linear Equations, Perturbation Theory, Stellar Orbits

Scientific paper

Consideration is given to the relation between the thermal runaway predicted in models of the collisional evolution of stellar systems and the onset of linear instability in equilibrium solutions of the Boltzmann equation obtained by averaging over the stellar orbits. The orbit-averaged Boltzmann equation is obtained by instantaneously averaging, over orbits of fixed energy and angular momentum, the Boltzmann equation in six-dimensional phase space. The linear stability of the equation is analyzed for the case of isothermal equilibrium, and it is found that spherical equilibrium configurations confined in a box become unstable to spherical perturbations of the Boltzmann equation at the critical point for the initiation of the thermal runaway where the Boltzmann entropy ceases to be a local maximum.

Affiliated with

Also associated with

No associations

Rating

Stability theory of the orbit-averaged Boltzmann equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Stability theory of the orbit-averaged Boltzmann equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stability theory of the orbit-averaged Boltzmann equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1390213