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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

REFERENCES

Baldwin, D. E. 1967 J. Plasma Phys. 1, 289.CrossRefGoogle Scholar
Baldwin, D. E. 1969 To be published.Google Scholar
Baldwin, D. E. & Hirshfreld, J. L. 1967 Appl. Phys. Letters 11, 175.CrossRefGoogle Scholar
Dorman, G. 1968 J. Plasma Phys. 2, 557.CrossRefGoogle Scholar
Dorman, G. 1969 J. Plasma Phys. 3, 387.CrossRefGoogle Scholar
Fried, B. D. & Conte, S. D. 1961 The Plasma Dispersion Function. New York: Academic Press Inc.Google Scholar
Harker, K. J. 1965 Phys. Fluids 8, 1946.CrossRefGoogle Scholar
Harker, K. J., Kino, O. S. & Eitelbach, D. L. 1968 Phys. Fluids 11, 425.CrossRefGoogle Scholar
Huggins, R. W. & Raether, M. 1966 Phys. Rev. Letters 17, 745.CrossRefGoogle Scholar
Jackson, E. A. & Raether, M. 1966 Phys. Fluids 9, 1257.CrossRefGoogle Scholar
Landau, L. D. 1946 J. Phys. (USSR) 10, 25.Google Scholar
Weissglass, P. 1964 J. Nucl. Energy 66, 251.CrossRefGoogle Scholar