Abstract
The velocity space diffusion equation which describes a distortion of the velocity distribution function due to nonlinear Landau damping of electrostatic waves in a plasma without magnetic field is derived from the Vlasov-Maxwell equations by perturbation theory. The conservation laws for total energy and momentum densities of waves and particles are verified, and the time evolutions for energy and momentum densities of particles are given by means of nonlinear wave-particle coupling coefficient in kinetic wave equation. The obtained equations can be also available for analysis of energy transfer between waves and particles caused by nonlinear Landau damping due to non-magnetized particles in a magnetized plasma.
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