  These lecture notes were presented by Allan N. Kaufman in his graduate plasma
theory course and a follow-on special topics course (Physics 242A, B, C and
Physics 250 at the University of California Berkeley). The notes follow the
order of the lectures. The equations and derivations are as Kaufman presented,
but the text is a reconstruction of Kaufman's discussion and commentary. The
notes were transcribed by Bruce I. Cohen in 1971 and 1972, and word-processed,
edited, and illustrations added by Cohen in 2017 and 2018. The series of
lectures are divided into four major parts: (1) collisionless Vlasov plasmas
(linear theory of waves and instabilities with and without an applied magnetic
field, Vlasov-Poisson and Vlasov-Maxwell systems, WKBJ eikonal theory of wave
propagation); (2) nonlinear Vlasov plasmas and miscellaneous topics (the plasma
dispersion function, singular solutions of the Vlasov-Poisson system,
pulse-response solutions for initial-value problems, Gardiner's stability
theorem, gyroresonant effects, nonlinear waves, particle trapping in waves,
quasi-linear theory, nonlinear three-wave interactions); (3) plasma collisional
and discreteness phenomena (test-particle theory of dynamic friction and wave
emission, classical resistivity, extension of test-particle theory to
many-particle phenomena and the derivation of the Boltzmann and Lenard-Balescu
equations, the Fokker-Planck collision operator, a general scattering theory,
nonlinear Landau damping, radiation transport, and Dupree's theory of clumps);
(4) nonuniform plasmas (adiabatic invariance, guiding center drifts,
hydromagnetic theory, introduction to drift-wave stability theory).
