A statistical theory of electromagnetic waves in turbulent plasmas

Astronomy and Astrophysics – Astrophysics

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Electromagnetic Radiation, Magnetic Effects, Particle Size Distribution, Plasma Turbulence, Diffusion Coefficient, Magnetic Variations, Particle Interactions, Statistical Analysis, Wave Dispersion

Scientific paper

A statistical theory previously developed for electrostatic waves is extended to the case of electromagnetic waves in the presence of a constant magnetic field. The theory is nonlinear and contains the effects of mode-mode coupling. The extension is not straightforward and involves calculation of perturbed trajectories in both velocity and configuration space. A diffusion equation is derived for the average particle-distribution function, the associated diffusion tensor is calculated, and a nonlinear wave-dispersion relation is found. All these results contain the usual quasi-linear theory as the lowest-order approximation.

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