Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-26T00:57:48.277Z Has data issue: false hasContentIssue false

Nonlinear interaction of obliquely propagating Bernstein waves with electrons in a plasma

Published online by Cambridge University Press:  13 March 2009

Masao Sugawa
Affiliation:
Department of Physics, Faculty of Science, Ehime University, Matsuyama 790, Japan

Abstract

We obtain analytical expression for the interaction of obliquely propagating Bernstein waves with electrons by using the monochromatic wave approximation for quasi-linear theory in a weakly turbulent plasma. A numerical analysis is also carried out. The waves show initially strong damping and irregular amplitude oscillation, and the electron velocity distribution shows a variation corresponding to one of the waves. These are results of the energy exchange between waves and electrons. Despite the use of the monochromatic wave approximation, strongly scattering electrons with a broad velocity spread about the resonant velocity by the wave is seen.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1988

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Al'tshul, L. M. & Karpman, V. I. 1966 Soviet Phys. JETP, 22, 361.Google Scholar
Ando, A., Ogura, K., Tanaka, H., Iida, M., Ide, S., Oho, K., Osaki, S., Nakaura, M., Cho, T., Maekawa, T., Terumichi, Y. & Tanaka, S. 1986 Phys. Rev. Lett. 56, 2180.CrossRefGoogle Scholar
Arima, S., Sugawa, M. & Sugaya, R. 1980 J. Phys. Soc. Jpn, 49, 1201.CrossRefGoogle Scholar
Baldwin, D. E. & Rowlands, G. 1966 Phys. Fluids, 9, 2444.CrossRefGoogle Scholar
Buchel'nikova, N. S. & Matochkin, E. P. 1980 Soviet J. Plasma Phys. 6, 603.Google Scholar
Cairns, R. A. & Owen, J. 1983 Phys. Fluids, 26, 3475.CrossRefGoogle Scholar
Crescentini, A. A. & Orifice, A. 1980 J. Plasma Phys. 23, 209.CrossRefGoogle Scholar
De Luca, I. & Maroli, C. 1978 Plasma Phys. 20, 299.CrossRefGoogle Scholar
Dimote, G. & Malmberg, J. H. 1977 Phys. Rev. Lett. 38, 401.CrossRefGoogle Scholar
Drummond, W. E., Malmberg, J. H., O'Neil, T. M. & Thompson, J. R. 1970 Phys. Fluids, 13, 2422.CrossRefGoogle Scholar
Fidone, I., Giruzzi, G., Granata, G. & Meyer, R. L. 1984 Phys. Fluids, 27, 2468.CrossRefGoogle Scholar
Freese, K. B., Walsh, J. E. & Lohr, J. 1979 Phys. Fluids, 22, 2367.CrossRefGoogle Scholar
Kamimura, T., Wagner, T. & Dawson, J. M. 1978 Phys. Fluids, 21, 1151.CrossRefGoogle Scholar
Maekawa, T., Tanaka, S., Terumichi, Y. & Hamada, Y. 1978 Phys. Rev. Lett. 40, 1379.CrossRefGoogle Scholar
Malmberg, J. H. & Wharton, C. B. 1967 Phys. Rev. Lett. 14, 775.CrossRefGoogle Scholar
Malmberg, J. H. & Wharton, C. B. 1969 Phys. Fluids, 12, 2600.CrossRefGoogle Scholar
Mizuno, K. & Tanaka, S. 1972 Phys. Rev. Lett. 29, 45.CrossRefGoogle Scholar
O'Neil, T. M. 1965 Phys. Fluids, 8, 225.Google Scholar
O'Neil, T. M., Winferey, J. H. & Malmberg, J. M. 1971 Phys. Fluids, 14, 1204.CrossRefGoogle Scholar
Porkolab, M. 1985 Phys. Rev. Lett. 54, 434.CrossRefGoogle Scholar
Riyopoulos, S. 1986 J. Plasma Phys. 36, 111.CrossRefGoogle Scholar
Sato, N., Ikezi, H., Yamashita, Y. & Takahashi, N. 1968 Phys. Rev. Lett. 20, 837.CrossRefGoogle Scholar
Sugawa, M. & Sugaya, R. 1985 J. Phys. Soc. Jpn, 54, 1339.CrossRefGoogle Scholar
Sugaya, R., Sugawa, M. & Nomoto, H. 1977 J. Phys. Soc. Jpn, 42, 1079.CrossRefGoogle Scholar
Sugaya, R., Sugawa, M. & Nomoto, H. 1979 J. Phys. Soc. Jpn, 47, 966.CrossRefGoogle Scholar
Sugihara, R., Yamanaka, K., Ohsawa, Y. & Kamimura, T. 1981 Phys. Fluids, 24, 434.CrossRefGoogle Scholar