Fusion Science and Technology / Volume 45 / Number 2T / March 2004 / Pages 153-158
Technical Paper / Plasma and Fusion Energy Physics - Kinetic Wave Theory / dx.doi.org/10.13182/FST04-A478
The kinetic description of linear waves in plasmas is succinctly presented, with emphasis on applications to high-frequency (hf) wave heating and current drive. The Maxwell-Vlasov system of equations is introduced. Its two-timescale analysis yields the linearized Vlasov and the quasilinear Fokker-Planck equations. The standard guiding centre and Hamiltonian formalisms are presented. Two formulations of the hf plasma wave equation are given: as a partial differential equation to hold at each position, and as a global Galerkin ('variational') form.