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Derivation of an equation for three-wave interactions based on the Klimontovich–Dupree equation

Published online by Cambridge University Press:  01 February 1997

V. I. EROFEEV
V. I. EROFEEV
Affiliation:
Institute of Automation and Electrometry, Academy of Sciences, Universitetsky Prospekt, 1, Novosibirsk, 630090, Russia
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Abstract

A collision integral for three-wave interactions in a collisionless plasma is derived from the full plasma description by means of the Klimontovich–Dupree and Maxwell equations. This collision integral differs from its traditional counterpart (calculated within the framework of Vlasov theory) by an additional functional factor. This means that the changes in the wave spectral density, which are induced by three-wave interactions, occur with a rate other than that calculated in Vlasov theory.

Type
Research Article
Information
Journal of Plasma Physics , Volume 57 , Issue 2 , February 1997 , pp. 273 - 298
Copyright
© 1997 Cambridge University Press

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