Theoretical plasma physics
Abstract
These lecture notes were presented by Allan N. Kaufman in his graduate plasma theory course and a followon 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 is divided into four major parts: (i) collisionless Vlasov plasmas (linear theory of waves and instabilities with and without an applied magnetic field, VlasovPoisson and VlasovMaxwell systems, WentzelKramersBrillouinJeffreys (WKBJ) eikonal theory of wave propagation); (ii) nonlinear Vlasov plasmas and miscellaneous topics (the plasma dispersion function, singular solutions of the VlasovPoisson system, pulseresponse solutions for initialvalue problems, Gardner's stability theorem, gyroresonant effects, nonlinear waves, particle trapping in waves, quasilinear theory, nonlinear threewave interactions); (iii) plasma collisional and discreteness phenomena (testparticle theory of dynamic friction and wave emission, classical resistivity, extension of testparticle theory to manyparticle phenomena and the derivation of the Boltzmann and LenardBalescu equations, the FokkerPlanck collision operator, a general scattering theory, nonlinear Landau damping, radiation transport and Dupree's theory of clumps); (iv) nonuniform plasmas (adiabatic invariance, guidingcentre drifts, hydromagnetic theory, introduction to driftwave stability theory).
 Publication:

Journal of Plasma Physics
 Pub Date:
 December 2019
 DOI:
 10.1017/S0022377819000667
 Bibcode:
 2019JPlPh..85t20585
 Keywords:

 plasma confinement;
 plasma instabilities;
 plasma waves