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.
Original language | English |
---|---|
Pages (from-to) | 125-155 |
Number of pages | 31 |
Journal | Astrophysics and Space Science |
Volume | 38 |
Issue number | 1 |
DOIs | |
State | Published - Nov 1975 |
Externally published | Yes |