Theoretical non-Maxwellian particle velocity distribution functions for spherically symmetric solar wind-like plasma systems and consequences. II - The case of large thermal anisotropy and nine moments description for each species

Details Theoretical non-Maxwellian particle velocity distribution functions for spherically symmetric solar wind-like plasma systems and consequences. II - The case of large thermal anisotropy and nine moments description for each species Theoretical non-Maxwellian particle velocity distribution functions for spherically symmetric solar wind-like plasma systems and consequences. II - The case of large thermal anisotropy and nine moments description for each species

Mar 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...314..404c&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 314, March 1, 1987, p. 404-414.

Astronomy and Astrophysics

Astrophysics

5

Anisotropic Media, Distribution Functions, Particle Motion, Plasma Dynamics, Solar Wind Velocity, Velocity Distribution, Cosmic Plasma, Maxwell-Boltzmann Density Function, Temperature Distribution

Scientific paper

We generalize the results obtained in a previous paper in which we derived analytically the most probable velocity distribution function of each component, fa, of a nonequilibrium multispecies spherically symmetric system of particles for the case in which the component was described by the first seven moments of fa. The generalization consists of the following: (1) we relax the limitation of relatively small thermal anisotropy; and (2) we describe each species in terms of the first nine components of fa (this includes different components of the heat flux and of the fifth moment). The calculations are based on a variational approach consisting of the minimization of the Boltzmann H-function subject to the constraints provided by the sets of nine macroscopic parameters (expectation values) describing the various components of the nonequilibrium state. The use of the derived generalized distribution functions for various problems is indicated.

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