Abstract
In this paper, we 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.
Similar content being viewed by others
References
Batchelor, G. K.: 1959,J. Fluid Mech. 5, 113.
Batchelor, G. K.: 1967,The Theory of Homogeneous Turbulence, Cambridge University Press, Cambridge.
Chandrasekhar, S.: 1955,Proc. Roy. Soc. London A233, 322.
Edward, S.: 1964,J. Fluid Mech. 18, 239.
Herring, J. R.: 1965,Phys. Fluids 8, 2219.
Hopf, E.: 1952,J. Rational Mech. Anal. 1, 87.
Kraichanan, R. H.: 1959,J. Fluid Mech. 5, 497.
Kishore, N.: 1977,J. Sci. Research, B. H. U. 2, 163.
Lundgren, T. S.: 1967,Phys. Fluids 10, 967.
Pope, S. B.: 1981,Phys. Fluids 24, 588.
Ta-You Wu: 1966,Kinetic Theory of Gases and Plasma, Addison-Wesley Publ. Co., Reading, Mass.
Author information
Authors and Affiliations
Additional information
On study leave from the Department of Mathematics, University of Rajshahi, Bangladesh.
Rights and permissions
About this article
Cite this article
Sarker, M.S.A., Kishore, N. Distribution functions in the statistical theory of convective MHD turbulence of an incompressible fluid. Astrophys Space Sci 181, 29–42 (1991). https://doi.org/10.1007/BF00644110
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00644110