Sur la magnétohydrodynamique anisotrope relativiste |
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| Authors: | Mahdy Cissoko |
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| Institution: | (1) Laboratoire de Physique Mathématique, Collège de France, Antony, France |
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| Abstract: | Summary This paper is concerned with the relativistic phenomenological theory of anisotropic magnetohydrodynamics. An anisotropic
fluid scheme is defined and studied. The main system of anisotropic magnetohydroldynamics is deduced. This system may describe
a collisionless anisotropic plasma embedded in a strong magnetic field. The main system is shown to yield to three types of
waves as in isotropic (perfect) magnetohydrodynamics: the entropic waves, the magnetosonic waves and the Alfven waves. For
the rays associated respectively to the magnetosonic and Alfven waves the fundamental property concerning the propagation
of infinitesimal discontinuities of variables is established. The conditions under which the velocities of propagation of
magnetosonic and Alfven waves are real are derived: these conditions imply as in the classical theory the absence of fire
hose and mirror instabilities in the fluid. The study of wave cones allows, on the one hand to point out some particularities
of the propagation of waves in anisotropic magnetohydrodynamics, and on the other hand to clear up the hyperbolicity character
of differential operators associated to various waves.
Entrata in Redazione il 23 aprile 1975. |
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