Quasi-linear relaxation of electrons interacting with an inhomogeneous distribution of Langmuir waves

Physics

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Electron Diffusion, Plasma Oscillations, Plasma-Particle Interactions, Type 3 Bursts, Electron Distribution, Electron Energy, Plasma Resonance, Relaxation Time, Solitary Waves

Scientific paper

Quasi-linear theory, describing the diffusion of electrons in velocity space due to resonant interaction with Langmuir waves, is generalized to treat the case where the waves are inhomogeneously distributed. The method is a generalization of an approach developed by Morales and Lee (1974) to treat the interaction of electrons with a distribution of solitons. It is shown that quasi-linear theory applies irrespective of how the waves are distributed in space, provided that an electron has multiple encounters with clumps of Langmuir waves, and the the evolution of the distribution of electrons is considered only on a long time-scale compared with the time between such encounters.

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