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On the power law for the wave spectrum

Published online by Cambridge University Press:  13 March 2009

H. I. Abdel-Gawad
H. I. Abdel-Gawad
Affiliation:
Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
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Abstract

In this paper we determine the asymptotic behaviour of the spectral function for two types of waves generated in a turbulent plasma: plasma waves generated by a kinetic electron beam instability, and lower-hybrid waves. It is shown that the wave spectrum behaves in the lowest-order approximation as K–6 and K║–3 in the respective cases (where k and k║ are the wavenumber and the wavenumber parallel to the magnetic field) and is bounded below by an appropriate value. The distribution function is evaluated self-consistently in each case.

Type
Research Article
Information
Journal of Plasma Physics , Volume 41 , Issue 2 , April 1989 , pp. 333 - 340
Copyright
Copyright © Cambridge University Press 1989

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References

REFERENCES

Bernstein, I. B. & Engelmann, F. 1966 Phys. Fluids, 9, 937.CrossRefGoogle Scholar
Davidson, R. V. & Gladd, N. T. 1975 Phys. Fluids, 18, 1327.CrossRefGoogle Scholar
Davidson, R. C. & Krall, N. A. 1977 Nucl. Fusion, 17, 1313.CrossRefGoogle Scholar
Drummond, W. E. & Pines, D. 1962 Nucl. Fusion Suppl., 1049.Google Scholar
Dum, C. T. 1978 Phys. Fluids, 21, 945.CrossRefGoogle Scholar
Liewer, P. C. & Krall, N. A. 1973 Phys. Fluids, 16, 1953.CrossRefGoogle Scholar
Krall, N. A. & Liewer, P. C. 1977 Phys. Rev. A 4, 2094.CrossRefGoogle Scholar
Liu, C. S., An, Z. G., Boyed, D. A., Lee, Y. C., Mushietti, L., Appert, K. & Vaclavik, J. 1982 Comments Plasma Phys. Contr. Fusion, 7, 21.Google Scholar
Tukhiet, & Abdel-Gawad, H. I. 1980 J. Physique Lett. 41, 189.Google Scholar
Vedenov, A. A., Velikhov, E. P. & Sagdeev, R. T. 1962 Nucl. Fusion Suppl., 465.Google Scholar
Wu, C. S., Gaffey, J. D. & Liberman, B. 1981 J. Plasma Phys. 25, 391.CrossRefGoogle Scholar