On the stability of a new relativistic kinetic equation

Details On the stability of a new relativistic kinetic equation On the stability of a new relativistic kinetic equation

Jul 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984apj...282..361k&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 282, July 15, 1984, p. 361-369. Research supported by the Robert A. Welch F

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5

Field Theory (Physics), Kinetic Equations, Numerical Stability, Relativity, Isothermal Processes, Maximum Entropy Method, Newton Theory, Perturbation Theory

Scientific paper

The present investigation is concerned with the fundamental properties of a new relativistic kinetic equation, taking into account the conditions under which an equilibrium solution will be stable with respect to small perturbations. The basic equations and their stationary solutions are examined, taking into account the kinetic equation and the isothermal distribution. The role of the isothermal distribution as an exact stationary solution is emphasized, and linearized perturbation equations appropriate for small, spherically symmetric departures from the isothermal equilibrium are formulated. Attention is given to an 'orbit-averaged' kinetic equation and a criterion for its stability. It is shown that the considered entropy criterion is in fact a simple manifestation of a much more general H-theorem inequality.

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