A stability criterion for any collisionless stellar equilibrium and some concrete applications thereof

Details A stability criterion for any collisionless stellar equilibrium and some concrete applications thereof A stability criterion for any collisionless stellar equilibrium and some concrete applications thereof

Mar 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...370..312k&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 370, March 20, 1991, p. 312-317.

Statistics

Computation

24

Computational Astrophysics, Equilibrium Equations, Hamiltonian Functions, Stellar Motions, Boltzmann-Vlasov Equation, Perturbation Theory, Poisson Equation

Scientific paper

By viewing the Vlasov, or collisionless Boltzmann, equation of galactic dynamics as a Hamiltonian system with respect to an appropriate Lie bracket, an exact expression is derived for the energy associated with a phase-preserving, or symplectic, perturbation of an arbitrary equilibrium configuration, not assumed to possess any particular symmetries. Stability of the equilibrium hinges on the sign of the energy: positive energy for all perturbations implies linear and spectral stability. The existence of both negative and positive energy perturbations implies the existence of phase-preserving perturbations of zero linearized energy with arbitrarily large amplitudes. It is shown that a generic equilibrium depending on more than one constant of the motion will typically admit phase-preserving perturbations of negative energy that correspond to a local rearrangement of the velocity profile. It is also shown that, in analogy with spherical equilibria, a broad class of configurations with slab or cylindrical symmetries are stable with respect to 'centrally symmetric' perturbations.

Affiliated with

Also associated with

No associations

Rating

A stability criterion for any collisionless stellar equilibrium and some concrete applications thereof 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 A stability criterion for any collisionless stellar equilibrium and some concrete applications thereof, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A stability criterion for any collisionless stellar equilibrium and some concrete applications thereof will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1602814