On the Use of the Perturbation Technique for the Kinetic Analysis of Nonlinear Problems of Plasma Electrodynamics

We discuss the validity of the perturbation technique (i.e., power-series expansion in terms of the high-frequency field amplitude) applied for solving the kinetic equation. The case where the validity conditions of this method are formally violated for a "strongly localized" distribution...

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Bibliographic Details
Published in:Radiophysics and quantum electronics 2005-05, Vol.48 (5), p.364-370
Main Authors: Tokman, M. D., Kryachko, A. Yu
Format: Article
Language:English
Subjects:
Amplitudes
Approximation
Asymptotic properties
Distribution functions
Electrodynamics
Kinetics
Mathematical analysis
Nonlinearity
Perturbation methods
Plasma
Quantum electronics
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Summary:We discuss the validity of the perturbation technique (i.e., power-series expansion in terms of the high-frequency field amplitude) applied for solving the kinetic equation. The case where the validity conditions of this method are formally violated for a "strongly localized" distribution function is considered. It is shown that in this case, the asymptotic expressions for the distribution-function moments remain correct not only in the linear, but also in quadratic approximation with respect to the field.[PUBLICATION ABSTRACT]
ISSN:0033-8443
1573-9120
DOI:10.1007/s11141-005-0078-6