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Kinetic theory of plasma waves

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Abstract

In this paper, I outline 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. I derive the electrostatic dispersion relation and discuss the resonant interaction between particles and electrostatic waves. A new derivation of the wave energy density in a plasma with arbitary dissipation is given. The numerical solution of the dispersion relation of waves in a Maxwellian plasma is discussed, and finally I show some examples of numerically evaluated dispersion surfaces.

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  1. Kiruna Geophysical Institute University of Umeå, S-901 87, Umeå, Sweden

    K. G. Rönnmark

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  1. K. G. Rönnmark
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Rönnmark, K.G. Kinetic theory of plasma waves. Space Sci Rev 42, 411–428 (1985). https://doi.org/10.1007/BF00214996

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