Generalized variational principle for collisional stellar dynamics

Details Generalized variational principle for collisional stellar dynamics Generalized variational principle for collisional stellar dynamics

Publishing date

May 1990

URL

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990mnras.244..254i&link_type=abstract

Journals

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 244, May 15, 1990, p. 254-259. Research supported by th

Science

Statistics

Field

Computation

Additional info 2

17

Additional info 3

Computational Astrophysics, Stellar Orbits, Stellar Physics, Stellar Systems, Differential Equations, Fokker-Planck Equation, Stellar Evolution

Type

Scientific paper

Abstract

The diffusion of orbits under the action of stellar encounters is governed by the Fokker-Planck 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 Fokker-Planck equation, generalized variational principles based on local potentials can be found. Local potentials are given for the anisotropic orbit-averaged Fokker-Planck 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 orbit-averaged Fokker-Plank equations.

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