A variational derivation of the velocity distribution functions for nonequilibrium, multispecies, weakly interacting, spherically symmetric many-body systems

Details A variational derivation of the velocity distribution functions for nonequilibrium, multispecies, weakly interacting, spherically symmetric many-body systems A variational derivation of the velocity distribution functions for nonequilibrium, multispecies, weakly interacting, spherically symmetric many-body systems

Dec 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982jsp....29..803c&link_type=abstract

Journal of Statistical Physics, Volume 29, Issue 4, pp.803-812

Physics

3

Velocity Distribution Functions, Plasmas-Nonequilibrium, Stellar Systems-Nonequilibrium, Weakly Interacting Many-Body Systems

Scientific paper

The most probable velocity distribution function of each component, f a , of a nonequilibrium multispecies spherically symmetric system of particles (stellar plasma atmospheres and winds, stellar systems, pellet-fusion systems) is analytically derived for the case in which each component is described by the first six moments of f a . This is achieved by the aid of a variational approach based on the requirement that the Boltzmann H function for the system be a minimum, subject to the constraints provided by the sets of six macroscopic parameters describing the nonequilibrium state. The use of the so-obtained velocity distribution functions for the closure of the moment equations as well as for the calculation of their collisional terms (via the Fokker-Planck equation) is discussed. The limitations on the maximum deviations from the equilibrium state which are consistent with the assumptions used are also indicated.

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