### FPN19-15

## Plasma Theory Lecture Notes Posted

### April 29, 2019

Theoretical Plasma Physics, lecture notes by Alan N. Kaufman and Bruce I.
Cohen have been posted on-line for free download at:
https://arxiv.org/pdf/1904.08520
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 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).