The development of an electron beam-plasma instability beyond the stage described by quasilinear theory has been investigated by means of kinetic equations for waves and particles which include the effects of spontaneous emission and scattering of waves. Characteristic times for the formation of a high-energy tail have been computed, which at late times may extend significantly beyond the original beam velocity. Qualitative agreement is obtained with experiments.
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Dum et al. (1971) studied this question.
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