Distribution functions in the statistical theory of convective MHD turbulence of an incompressible fluid.

Details Distribution functions in the statistical theory of convective MHD turbulence of an incompressible fluid. Distribution functions in the statistical theory of convective MHD turbulence of an incompressible fluid.

Jul 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991ap%26ss.181...29a&link_type=abstract

Astrophysics and Space Science, Vol. 181, No. 1, p. 29 - 42

Astronomy and Astrophysics

Astrophysics

Magnetohydrodynamics: Convection, Magnetohydrodynamics: Viscosity, Magnetohydrodynamics: Turbulence

Scientific paper

In this paper the authors define a hierarchy of distribution functions for simultaneous velocity, magnetic, and temperature fields. Some properties of the constructed distribution functions such as reduction, separation, and coincidence are discussed. Equations for the evolution of one- and two-point distribution functions have been derived. Finally, a comparison of the equation for the single-point distribution function in case of zero viscosity, negligible diffusivity, and infinite electrical conductivity is made with first equation of BBGKY hierarchy in the kinetic theory of gases.

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