Abstract
It may happen that a magnetospheric plasma can admit two or more instabilities of different types, for example, a high frequency instability (electrostatic or cyclotron) and a low frequency instability (hydromagnetic or drift wave). In many such cases, the plasma wave dynamics cannot even approximately be described by a simple linear superposition of the various instabilities which are possible, because slight changes in the plasma produced by one instability may cause major changes in the growth rate of another. It is always possible to describe this interaction mathematically by saving enough terms in the Vlasov-Maxwell equations (e.g., mode-mode coupling). To some extent a physically concise and useful description is supplied by following the analysis of Dupree (1966, 1967, 1968), certain aspects of which were rediscovered independently by the author in the course of the present work. In this analysis, one takes into account the influence of the instability wave fields on particle orbits which are used to calculate the dispersion relation. In this fashion, growth rates taken from the dispersion relation depend explicitly on wave intensities, in contrast to the usual linear stability calculations. In certain cases, this explicit dependence on wave intensities is essential for description of equilibrium, since the equilibrium conditions of quasi-linear theory (Kennel and Engelmann, 1966) cannot be applied.
Alfred P. Sloan Foundation Fellow
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Chamberlain, J. W.: 1963, J. Geophys. Res. 68, 5667.
Cornwall, J. M.: 1968, Radio Sci. 3, 740.
Coroniti, F. V. and Kennel, C. F.: 1969, J. Geophys. Res., to be published.
D’Angelo, N.: 1969, J. Geophys. Res. 74, 909.
Dupree, T. H.: 1966, Phys. Fluids 9, 1773.
Dupree, T. H.: 1967, Phys. Fluids 10, 1049.
Dupree, T. H.: 1968, Phys. Fluids 11, 2680.
Ivanov, A. A., Rudakov, L. I., and Teikhmann, I.: 1968, Soviet Phys.-JETP 27, 739.
Kennel, C. F. and Engelmann, F.: 1966, Phys. Fluids 9, 2377.
Krall, N. A.: 1967, Phys. Fluids 10, 2263.
Krall, N. A. and Rosenbluth, M. N.: 1963, Phys. Fluids 6, 254.
Mikhailovskii, A. B. and Rudakov, L. I.: 1963, Soviet Phys.-JETP 17, 621.
Parks, G. K.: 1969, J. Geophys. Res., to be published.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1970 D. Reidel Publishing Company, Dordrecht, Holland
About this paper
Cite this paper
Cornwall, J.M. (1970). Mutually Interacting Instabilities in the Magnetosphere. In: McCormac, B.M. (eds) Particles and Fields in the Magnetosphere. Astrophysics and Space Science Library, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-3284-1_26
Download citation
DOI: https://doi.org/10.1007/978-94-010-3284-1_26
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-3286-5
Online ISBN: 978-94-010-3284-1
eBook Packages: Springer Book Archive