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On the stability of nonlinear waves coexisting with plasma beams

Published online by Cambridge University Press:  13 March 2009

E. Infeld  and
G. Rowlands
E. Infeld
Affiliation:
Institute of Nuclear Research, Hoza 69, Warsaw
G. Rowlands
Affiliation:
Department of Physics, University of Warwick, Coventry CV4 7AL
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Extract

In this paper we consider the stability of one-dimensional stationary waves set up by two counter-streaming beams of electrons in a background of stationary ions. The perturbations considered are long-wave in a direction perpendicular to the wave. The presence of a uniform magnetic field in the direction of the wave and the effect of a perpendicular pressure are taken into account. In the long-wavelength limit growth rates are diminished by the nonlinear wave. When the amplitude of this wave tends to its maximum value, the growth rates tend to zero. Thus the wave has a stabilizing effect for long-wave perturbations. Three- dimensional effects lead to additional instabilities which are also quenched by the nonlinear wave, but not as fast as the one-dimensional calculation indicates.

Type
Articles
Information
Journal of Plasma Physics , Volume 13 , Issue 1 , February 1975 , pp. 173 - 187
Copyright
Copyright © Cambridge University Press 1975

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References

REFERENCES

Bernstein, I. B., Kruskal, M. & Greene, J. 1957 Phys. Rev. 108, 546.CrossRefGoogle Scholar
Bertrand, P., Feix, M. R. & Baumann, G. 1971 J. Plasma Phys. 6, 351.CrossRefGoogle Scholar
Goldman, M. 1970 Phys. Fluids, 13, 1281.CrossRefGoogle Scholar
Hopman, H. J. 1969 The Electron-Cyclotron Instability in a Beam–Plasma System. Rotterdam: Bronder.Google Scholar
Infeld, E. 1972 J. Plasma Phys. 8, 105.CrossRefGoogle Scholar
Ineeld, E. & Rowlands, G. 1973 J. Plasma Phys. 10, 293.CrossRefGoogle Scholar
Minardi, E. 1972 a Plasma Phys. 14, 427.CrossRefGoogle Scholar
Minardi, E. 1972 b Plasma Phys. 14, 443.CrossRefGoogle Scholar
Montgomery, D. 1960 Phys. Fluids, 3, 274.CrossRefGoogle Scholar
Montgomery, D. & Tidman, D. 1964 Plasma Kinetic Theory. McGraw-Hill.Google Scholar
Morse, R. L. & Nielson, C. W. 1969 Phys. Rev. Lett. 23, 1087.CrossRefGoogle Scholar
Rowlands, G. 1969 J. Plasma Phys. 3, 567.CrossRefGoogle Scholar