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Two-stream instability in plasmas for arbitrary propagation

Published online by Cambridge University Press:  13 March 2009

S. S. Aggarwal
Affiliation:
Department of Physics and Astrophysics, University of Delhi
S. P. Talwar
Affiliation:
Department of Physics and Astrophysics, University of Delhi

Abstract

The problem of the two-stream instability in warm, collisionless, field-free plasmas is investigated for arbitrary direction of propagation vector, using the moment equations. It is found that the configurations characterized by (i) a beam of electrons with ions immobile, and (ii) all electrons moving through mobile ions, are stable for subsonic interpenetration speeds. For supersonic speeds, however, the configurations are unstable both for electrostatic and electromagnetic perturbations. The former instability is restricted only to a cone of propagation about the streaming direction, while the latter exists for all angles, and has growth rates that are even larger than the electrostatic growth rates in the limit of long-wavelength perturbations.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1974

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References

REFERENCES

Bohm, D. & Gross, E. P. 1949 Phys. Rev. 75, 1864.CrossRefGoogle Scholar
Buneman, O. 1959 Phys. Rev. 115, 503.CrossRefGoogle Scholar
Gold, T. 1965 Phys. Rev. 137A, 1083.CrossRefGoogle Scholar
Lee, K. F. 1969 a Phys. Rev. 181, 447.CrossRefGoogle Scholar
Lee, K. F. 1969 b Phys. Rev. 181, 453.CrossRefGoogle Scholar
Momota, H. 1966 Prog. Theor. Phys. 35, 380.CrossRefGoogle Scholar
Parker, E. N. 1958 Phys. Rev. 112, 1429.CrossRefGoogle Scholar
Seshadri, S. R. 1973 Can. J. Phys. 51, 277.CrossRefGoogle Scholar
Talwar, S. P. 1966 Bull. Nat. Inst. Sci. (India), 33.Google Scholar