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Kinetic theory of the evolution of collective plasma excitations in an external electric field

Published online by Cambridge University Press:  13 March 2009

R. Balescu  and
I. Paiva-Veretennicoff
R. Balescu
Affiliation:
Faculté des Sciences, Université Libre de Bruxelles, Association Euratom-Etat Belge, 1050 Bruxelles, Belgium
I. Paiva-Veretennicoff
Affiliation:
Fakulteit van de Wetenschappen, Vrije Universiteit Brussel 1050 Brussel, Belgium
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Abstract

The kinetic theory of a plasma is developed on the basis of a normal mode analysis-In the absence of any external field, the system approaches a ‘plasmadynamical (PD) state’, described by fourteen amplitudes of the PD modes. The corresponding eigenvalues and eigenvectors are constructed explicitly. When an external time-dependent electric field is switched on, transitions between these modes determine the evolution of the plasma. Assuming that a PD regime is valid, the kinetic equations reduce to a set of equations describing parametric effects and nonlinear mode-mode couplings. A new source term, arising from the interference between collisions and external field, also appears. Some qualitative implications are discussed.

Type
Research Article
Information
Journal of Plasma Physics , Volume 16 , Issue 2 , October 1976 , pp. 129 - 148
Copyright
Copyright © Cambridge University Press 1976

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