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A possible excitation mechanism for a longitudinal wave instability in a plasma by a quasi-static electric field

Published online by Cambridge University Press:  13 March 2009

A. N. Kryshtal  and
V. P. Kuchernko
A. N. Kryshtal
Affiliation:
Department of Cosmic Plasma Physics, Main Astronomical Observatory of the National Academy of Sciences of Ukraine, 252650 Goloseevo, Kiev, Ukraine
V. P. Kuchernko
Affiliation:
Department of Cosmic Plasma Physics, Main Astronomical Observatory of the National Academy of Sciences of Ukraine, 252650 Goloseevo, Kiev, Ukraine
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Abstract

A specific type of longitudinal wave instability in a plasma due entirely to an external quasi-static electric field E0 is considered for the cases of ion-acoustic and Langmuir waves. The quasi-static time variation of the field leads to a relatively simple mechanism for the development of instability. For frequency ranges typical of ion-acoustic and Langmuir waves dispersion relations are obtained, with Landau damping and pair Coulomb collisions taken into account in addition to E0. The model integral of Bhatnagar, Gross & Krook is used to describe collisions. Two methods for taking account of the influence of the electric field on development of the instability are compared: that of Pines & Schrieffer and that of Brinca and Dysthe. Expressions are obtained for the growth rates in the framework of linear theory. Numerical simulations of both types of instabilities are performed for specific values of the plasma parameters.

Type
Research Article
Information
Journal of Plasma Physics , Volume 53 , Issue 2 , April 1995 , pp. 169 - 184
Copyright
Copyright © Cambridge University Press 1995

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