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A dispersion relation for waves of finite amplitude in a two-stream plasma

Published online by Cambridge University Press:  28 March 2006

F. D. Kahn
F. D. Kahn
Affiliation:
Department of Astronomy, University of Manchester
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Abstract

A dispersion relation is derived for plane space-charge waves of finite amplitude in a plasma containing two oppositely charged streams of particles. The relation may be expressed simply in parametric form; it can also be quite well approximated, in two different ranges of amplitude, by expressions for the wavelength in terms of the maximum variation of the electrostatic potential.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 10 , Issue 3 , May 1961 , pp. 357 - 365
Copyright
© 1961 Cambridge University Press

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References

Bernstein, I. B., Greene, J. M. & Kruskal, M. D. 1957 Phys. Rev. 108, 546.
Buneman, O. 1958 Phys. Rev. Letters, 1, 8.
Byrd, P. F. & Friedman, M. D. 1954 Handbook of Elliptic Integrals. Berlin: Springer Verlag.
Kahn, F. D. 1957 J. Fluid Mech. 2, 601.
Langmuir, I. 1929 Phys. Rev. 31, 954.
Nexsen, W. R., Cummins, W. F., Coensgen, F. H. & Sherman, A. E. 1960 Phys. Rev. 119, 1457.
Polovin, R. V. 1956 J.E.T.P. 31, 354. (English translation in Soviet Physics, 4, 290, 1957.)