Fusion Science and Technology / Volume 57 / Number 2T / February 2010 / Pages 86-91
Kinetic Theory / Proceedings of the Ninth Carolus Magnus Summer School on Plasma and Fusion Energy Physics
The kinetic description of linear waves in plasmas is succinctly presented, with emphasis on applications to highfrequency (hf) wave heating and current drive. The Maxwell-Vlasov system of equations is introduced. Its twotimescale 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.