## 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 |
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Pages (from-to) | 125-155 |

Number of pages | 31 |

Journal | Astrophysics and Space Science |

Volume | 38 |

Issue number | 1 |

DOIs | |

State | Published - Nov 1975 |