Hostname: page-component-77c89778f8-rkxrd Total loading time: 0 Render date: 2024-07-22T01:48:36.891Z Has data issue: false hasContentIssue false

Similarity solutions for nonlinear Landau damping of Alfvén waves

Published online by Cambridge University Press:  13 March 2009

J. F. McKenzie
Affiliation:
Department of Mathematics and Applied Mathematics, University of Natal, Durban, South Africa

Abstract

In this paper we develop similarity solutions for the problem of nonlinear Landau damping of Alfvén waves. These solutions which are applicable to power-law wave spectra illustrate not only the basic feature of the damping process, namely that short-wavelength waves decay more rapidly than long-wavelength waves, but also how the damping depends on the initial strength of the power spectrum and its distribution in wavenumber.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1982

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

Axford, W. I. 1981 Max-Planck-Institut für Aeronomie Report, MPAE-W-100–81–33.Google Scholar
Barnes, A. 1966 Phys. Fluids, 9, 1483.CrossRefGoogle Scholar
Bell, A. R. 1978 M.N.R.A.S. 182, 147.CrossRefGoogle Scholar
Lee, M. A. & Völk, H. J. 1973 Astrophys. Space Sci. 24, 31.CrossRefGoogle Scholar
McKenzie, J. F. & Völk, H. J. 1981 Proceedings of 17th International Cosmic Ray Conference (Paris), OG 27.Google Scholar
Völk, H. J. & McKenzie, J. F. 1981 Proceedings of 17th International Cosmic Ray Conference (Paris), OG 28.Google Scholar