KINETIC EQUATION FOR A PLASMA AND ITS APPLICATION TO HIGH-FREQUENCY CONDUCTIVITY.
MICHIGAN UNIV ANN ARBOR DEPT OF AEROSPACE ENGINEERING
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A kinetic equation for an inhomogeneous and non-isotropic plasma is derived in the plasma limit. The treatment is based on the joint solution of the first two members of the BBKGY hierarchy, and on a linearization procedure about the unperturbed state. The unperturbed distribution functions are unspecified. Furthermore, the unperturbed pair correlation function is eliminated in favor of the unperturbed one-particle distribution function. The resulting kinetic equation is free from Bogolyubovs adiabatic hypothesis therefore, it is valid for arbitrary frequency. In the limiting case when the frequency under consideration is much higher than the collision-frequency, a general expression for the high-frequency electric conductivity tensor is derived. From this general expression the results for the homogeneous and isotropic case previously derived by Klevans and Wu, as well as the results for the thermodynamic equilibrium case derived by Oberman, Ron, and Dawson can be recovered. Author
- Plasma Physics and Magnetohydrodynamics