Abstract
The velocity space diffusion equation which describes a distortion of the velocity distribution function due to nonlinear wave-particle scattering (nonlinear Landau damping) of electromagnetic and electrostatic waves in a homogeneous magnetized plasma is derived from the Vlasov-Maxwell equations by perturbation theory. The velocity space diffusion equation is expressed by means of the tensors of four-order which are transformed into some simple and convenient forms. The transport equations describing energy and momentum transfer between waves and particles are expressed by nonlinear wave-particle coupling coefficients, and yield the conservation laws for total energy and momentum densities of waves and particles. These equations are greatly useful for analysis of particle acceleration and plasma heating induced by the nonlinear wave-particle scattering.
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