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The two stream instability in the ‘resonance’ model

Published online by Cambridge University Press:  13 March 2009

E. Infeld  and
A. Skorupski
E. Infeld
Affiliation:
Instytut Badan Jadrowych, Hoza 69, Warsaw
A. Skorupski
Affiliation:
Instytut Badan Jadrowych, Hoza 69, Warsaw
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Abstract

In this note the problem of stability of two hot collisionless streams of charged particles is considered. The masses, charges, densities, and temperatures are arbitrary and the distribution functions are modelled by one ‘resonance’ function for each stream. The problem of stability is resolved by Nyquist diagrams, and, for the case of equal plasma frequencies, also by solving the dispersion relation in ω. A comparison with two Maxwellians on the one hand, and a two step function model on the other, is given. Step functions appear to be too crude for this problem.

Type
Research Article
Information
Journal of Plasma Physics , Volume 3 , Issue 4 , December 1969 , pp. 643 - 649
Copyright
Copyright © Cambridge University Press 1969

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References

REFERENCES

Clemmow, P. C. 1968 J. Plasma Phys. 2, 85.CrossRefGoogle Scholar
Fried, B. D. & Gould, R. W. 1961 Phys. Fluids 4, 139.CrossRefGoogle Scholar
Fried, B. D., Hedrick, C. L. & McCune, J. 1968 Phys. Fluids 11, 249.CrossRefGoogle Scholar
Infeld, E. & Skorupski, A. 1969 Nucl. Fusion 9, 25.CrossRefGoogle Scholar
Jackson, E. A. 1960 Phys. Fluids 3, 786.CrossRefGoogle Scholar
Kellog, P. & Liemohn, H. 1960 Phys. Fluids 3, 40.CrossRefGoogle Scholar
Penrose, O. 1960 Phys. Fluids 3, 258.CrossRefGoogle Scholar