Kinetic theory of plasma waves

Computer Science

Scientific paper

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Kinetic Theory, Plasma Waves, Space Plasmas, Electrostatic Waves, Flux Density, Laplace Transformation, Plasma-Particle Interactions

Scientific paper

The author outlines the solution of Vlasov-Maxwell's equations with given initial conditions. When transients have died out, the temporal evolution of each spatial Fourier component is completely determined by a dispersion relation. The author derives the electrostatic dispersion relation and discusses the resonant interaction between particles and electrostatic waves. A new derivation of the wave energy density in a plasma with arbitrary dissipation is given. The numerical solution of the dispersion relation of waves in a Maxwellian plasma is discussed, and finally the author shows some examples of numerically evaluated dispersion surfaces.

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