Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-26T03:33:59.133Z Has data issue: false hasContentIssue false

Two-dimensional shear Alfvén-wave turbulence in a plasma with arbitrary β

Published online by Cambridge University Press:  13 March 2009

G. Brodin
Affiliation:
Department of Plasma Physics, Umeå University, S-901 87 Uineå, Sweden

Abstract

Two-dimensional shear Alfvén-wave turbulence is investigated for a plasma with arbitrary β value. A set of three equations, which reduces to the derivative nonlinear Schrödinger equation in the limit of parallel propagation, is derived. The genuinely two-dimensional case is governed by two coupled equations. For a non-parallel one-dimensional space dependence, the nonlinearity is shown to vanish to all orders.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1996

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

Burlaga, L. F. 1983 Rev. Geophys. Space Phys. 21, 363.CrossRefGoogle Scholar
Buti, B. 1990 Solar and Planetary Plasma Physics, p. 92. World Scientific, Singapore.Google Scholar
Chmyrev, V. M., Marchenko, V. A., Pokhotelov, O. A., Shukla, P. K., Stenflo, L. & Streltsov, A. V. 1992 IEEE Trans. Plasma Sci. 20, 764.CrossRefGoogle Scholar
Hassam, A. B. & Huba, J. D. 1988 Phys. Fluids 31, 318.Google Scholar
Kakutani, T. & Ono, H. 1969 J. Phys. Soc. Jpn 26, 1305CrossRefGoogle Scholar
Kazatsev, A. P. 1963 Soviet Phys. JETP 17, 865.Google Scholar
Mjolhus, E. & Wyller, J. 1988 J. Plasma Phys. 40, 299.CrossRefGoogle Scholar
Rogister, A. 1971 Phys. Fluids 14, 2733.Google Scholar
Shukla, P. K. & Stenflo, L. 1989 Astrophys. Space Sci. 155, 145.Google Scholar
Shukla, P. K. & Stenflo, L. 1990 Astrophys. Space Sci. 166, 93.CrossRefGoogle Scholar
Shukla, P. K., Yu, M. Y. & Stenflo, L. 1989 Physica Scripta 34, 169.Google Scholar
Tsurtani, B. T. & Smith, E. J. 1986 Geophys. Res. Lett. 13, 256.Google Scholar
Willox, R., Hereman, W. & Verheest, F. 1995 Physica Scripta 52, 21.Google Scholar
Zharova, N. A. & Litvak, A. G. 1982 Soviet J. Plasma Phys. 8, 552.Google Scholar