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Instability of a large-amplitude plasma wave due to inverted trapped particle population

Published online by Cambridge University Press:  13 March 2009

C. S. Liu
Affiliation:
Institute for Advanced Study, Princeton, Now Jersey

Abstract

The large-amplitude plasma wave with a trapped-particle distribution monotonically increasing in energy is found to be unstable if the trapped-particle plasma frequency ωt = (4πnte2/m)½ is greater than the bounce frequency ωb = (eΕ0κ0/m)½.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1972

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References

REFERENCES

Al'tshul, L. M. & Karpman, V. I. 1965 Soviet Phys. JETP, 20, 1043.Google Scholar
Bernstein, I. B., Greene, J. M. & Kruskal, M. D. 1957 Phys. Rev. 108, 546.CrossRefGoogle Scholar
Dewer, R. L., Kruer, W. L. & Manheimer, W. M. 1972 Phys. Rev. Lett. 28, 215.CrossRefGoogle Scholar
Fried, B. D., Liu, C. S., Means, R. & Sagdeev, R. Z. 1971 UCLA Rep. PPG-93.Google Scholar
Goldman, M. V. 1970 Phys. Fluids, 13, 1281.CrossRefGoogle Scholar
Goldman, M. V. & Berk, H. 1971 Phys. Fluids, 14, 501.CrossRefGoogle Scholar
Kruer, W. L. & Dawson, J. M. 1970 Phys. Fluids, 13, 2747.CrossRefGoogle Scholar
Kruer, W. L., Dawson, J. M. & Sudan, R. N. 1969 Phys. Rev. Lett. 23, 838.CrossRefGoogle Scholar
Manheimer, W. M. 1971 Phys. Rev. A3, 1402.CrossRefGoogle Scholar
Manheimier, W. M. & Flynn, R. W. 1971 Phys. Fluids, 14, 2393.CrossRefGoogle Scholar
Mima, K. & Nishikawa, K. 1971 J. Phys. Soc. Japan, 30, 1722.CrossRefGoogle Scholar
Morales, G. J. & O'Neil, T. M. 1972 Phys. Rev. Lett. 28, 417.CrossRefGoogle Scholar
O'Neil, T. M. 1965 Phys. Fluids, 8, 2255.CrossRefGoogle Scholar
O'neil, T. M., Winfrey, J. H. & Malmberg, J. H. 1971 Phys. Fluids, 14, 1204.CrossRefGoogle Scholar
Pipes, L. A. 1965 Operational Methods in Nonlinear Mechanics. Dover.Google Scholar
Wakeren, J. H. A. Van & Hopman, H. J. 1972 Phys. Rev. Lett. 28, 295.CrossRefGoogle Scholar
Wharton, C. B., Malmberg, J. H. & O'Neil, T. M. 1968 Phys. Fluids, 11, 1761.CrossRefGoogle Scholar
Wong, H. V. 1972 Phys. Fluids, 15, 632.CrossRefGoogle Scholar