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Landau damping of resonance oscillations in inhomogeneous plasmas†

Published online by Cambridge University Press:  13 March 2009

G. Dorman
G. Dorman
Affiliation:
Department of Physics Polytechnic Institute of Brooklyn, Brooklyn, New York
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Abstract

A self-consistent solution of the Vlasov—Poisson equations is obtained for a low-temperature, bounded, Maxwellian plasma of arbitrary non-uniform density. An eigenvalue equation for the central frequencies and electric fields of the resonance oscillations is obtained, which agrees with the equation obtained by a low-temperature expansion of the orbital-integral solution. The Landau damping rate is given in a general, explicit form in terms of the central frequencies and fields of the resonances.

Type
Research Article
Information
Journal of Plasma Physics , Volume 4 , Issue 1 , February 1970 , pp. 127 - 142
Copyright
Copyright © Cambridge University Press 1970

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Footnotes

†

This research was supported in part by The Science Development Program of the National Science Foundation, Grant No. SDP-GU-1557.

References

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