ON THE KINETIC THEORY OF PLASMA.
Final rept. 15 Jul 65-15 Jul 68,
AERONAUTICAL RESEARCH ASSOCIATES OF PRINCETON INC N J
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In view of difficulties encountered in attempting to develop kinetic theory beyond the lowest-order results, it is of major interest to ascertain whether or not the Bogolubov expansion method is at fault or whether the complicated physics of three-body effects is the stumbling block. We have been able to show that Bogolubovs method fails for a model of kinetic theory with many of the features of the BBGKY hierarchy but lacking, by construction, three-body effects. The failure of Bogolubovs method can be traced without ambiguity in our model to a failure of the functional assumption in a certain region of phase space in the neighborhood of slow relative motion. A method that overcomes this difficulty has been developed and tested successfully with an explicitly soluble case. A kinetic description was developed, suitable to determine the transport properties of a plasma in the presence of moderately strong magnetic fields. For a Lorentz plasma the electron velocity distribution was calculated and the electron-electron contributions to electrical and thermal conductivities have been determined explicitly. A descriptive survey of solid-state plasma phenomena is given. We discuss the generation of solid-state plasmas, then waves, and instabilities in solid-state plasmas. Author
- Plasma Physics and Magnetohydrodynamics