Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-27T14:19:17.582Z Has data issue: false hasContentIssue false

The effect of fast-time-scale turbulence on magnetohydrodynamical behaviour

Published online by Cambridge University Press:  13 March 2009

R. O. Dendy
Affiliation:
Department of Theoretical Physics, 1 Keble Road, Oxford, OX1 3NP
D. Ter Haar
Affiliation:
Department of Theoretical Physics, 1 Keble Road, Oxford, OX1 3NP

Abstract

We show what corrections have to be made to the equations of ideal magneto-hydrodynamics when there is fast-time-scale turbulence present in a magnetized plasma. We show how the dispersion relations for the ideal Alfvén and magnetoacoustic MHD normal modes are modified when such turbulence is present. Finally, we discuss the relation of our work to that of other authors.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1984

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

Akhiezer, A. I., Akhiezer, I. A., Polovin, R. V., Sitenko, A. G. & Stepanov, K. N. 1975 Plasma Electrodynamics. Pergamon.Google Scholar
Bardwell, S. & Goldman, M. V. 1976 Ap. J. 209, 912.CrossRefGoogle Scholar
Dendy, R. O. & Ter Haar, D. 1983 Monthly Not. Roy. Astron. Soc. (In press.)Google Scholar
Drake, J. F. & Lee, Y. C. 1977 Phys. Fluids, 20, 1341.CrossRefGoogle Scholar
Egglestone, D. L., Wong, A. Y. & Darrow, C. B. 1982 Phys. Fluids, 25, 257.CrossRefGoogle Scholar
Goldman, M. V., Reiter, G. F. & Nicholson, D. 1980 Phys. Fluids, 23, 388.CrossRefGoogle Scholar
Kadomtsev, B. B. 1965 Plasma Turbulence. Academic.Google Scholar
Kaplan, S. A. & Tsytovich, V. N. 1973 Plasma Astrophysics. Pergamon.Google Scholar
Karpman, V. I. & Shagalov, A. G. 1982 J. Plasma Phys. 27, 215.CrossRefGoogle Scholar
Kono, M., Škorić, M. M. & Ter Haar, D. 1981 J. Plasma Phys. 26, 123.Google Scholar
Ovenden, C. R., Statham, G. & Ter Haar, D. 1983 Plasma Phys. 25, 665.Google Scholar
Papadopoulos, K., Goldstein, M. L. & Smith, R. A. 1974 Ap. J. 190, 175.CrossRefGoogle Scholar
Parker, E. N. 1979 Cosmical Magnetic Fields. Oxford University Press.Google Scholar
Pozzoli, R. & Ryutov, D. D. 1979 Phys. Fluids, 22, 1782.CrossRefGoogle Scholar
Rudakov, L. I. & Tsytovich, V. N. 1978 Phys. Reports, 40, 1.CrossRefGoogle Scholar
Statham, G. & Ter Haar, D. 1983 Plasma Phys. 25, 681.CrossRefGoogle Scholar
Thornhill, S. G. & Ter Haar, D. 1978 Phys. Reports, 43, 43.Google Scholar
Vedenov, A. A., Gordeev, A. V. & Rudakov, L. I. 1967 Plasma Phys. 9, 719.CrossRefGoogle Scholar
Weinberg, S. 1962 Phys. Rev. 126, 1899.CrossRefGoogle Scholar
Zakhabov, V. E. 1972 Soviet Phys. JETP, 35, 908.Google Scholar