TY - JOUR
T1 - On the use of the perturbation technique for the kinetic analysis of nonlinear problems of plasma electrodynamics
AU - Tokman, M. D.
AU - Kryachko, A. Yu
N1 - Funding Information:
This work was supported by the Russian Foundation for Basic Research (project No. 03–02–17234) and the NWO–RFBR (project No. 047.016.016).
PY - 2005/5
Y1 - 2005/5
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=25844479751&partnerID=8YFLogxK
U2 - 10.1007/s11141-005-0078-6
DO - 10.1007/s11141-005-0078-6
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AN - SCOPUS:25844479751
SN - 0033-8443
VL - 48
SP - 364
EP - 370
JO - Radiophysics and Quantum Electronics
JF - Radiophysics and Quantum Electronics
IS - 5
ER -