Generalized variational principle for collisional stellar dynamics
Abstract
The diffusion of orbits under the action of stellar encounters is governed by the FokkerPlanck equation. This equation has so many independent variables that it is very difficult to solve. As in quantum mechanics, variational principles can provide immense power in such situations. Whereas no true variational principles exist for the FokkerPlanck equation, generalized variational principles based on local potentials can be found. Local potentials are given for the anisotropic orbitaveraged FokkerPlanck equation as well as the isotropic one. Steady states minimize the rate of entropy production. The use of local potentials will help in finding approximate solutions of the orbitaveraged FokkerPlank equations.
 Publication:

Monthly Notices of the Royal Astronomical Society
 Pub Date:
 May 1990
 Bibcode:
 1990MNRAS.244..254I
 Keywords:

 Computational Astrophysics;
 Stellar Orbits;
 Stellar Physics;
 Stellar Systems;
 Differential Equations;
 FokkerPlanck Equation;
 Stellar Evolution;
 Astrophysics