Abstract
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 as assumed previously by many authors 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 quasilinear theory as the lowest order approximation.
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Ben-Israel, I., Piran, T., Eviatar, A. et al. A statistical theory of electromagnetic waves in turbulent plasmas. Astrophys Space Sci 38, 125–155 (1975). https://doi.org/10.1007/BF00646103
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DOI: https://doi.org/10.1007/BF00646103