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

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Abstract

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.

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Authors and Affiliations

  1. Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod, Russia

    M. D. Tokman & A. Yu. Kryachko

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  1. M. D. Tokman
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  2. A. Yu. Kryachko
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 48, No. 5, pp. 406–413, May 2005.

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Tokman, M.D., Kryachko, A.Y. On the Use of the Perturbation Technique for the Kinetic Analysis of Nonlinear Problems of Plasma Electrodynamics. Radiophys Quantum Electron 48, 364–370 (2005). https://doi.org/10.1007/s11141-005-0078-6

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  • DOI: https://doi.org/10.1007/s11141-005-0078-6

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