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Exact algebraic dispersion relations for wave propagation in hot magnetized plasmas

Published online by Cambridge University Press:  13 March 2009

Horst Fichtner  and
S. Ranga Sreenivasan
Horst Fichtner
Affiliation:
Institut für Astrophysik und Extraterrestrische Forschung der Universität Bonn, Auf dem Hügel 71, W-5300 Bonn, Germany
S. Ranga Sreenivasan
Affiliation:
Department of Physics and Astronomy, University of Calgary, 2500 University Drive N.W., Calgary, Alberta, Canada T2N 1N4
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Abstract

A new model is presented for the treatment of wave propagation along an external magnetic field in a hot collisionless plasma. The analysis is based on the so-called polynomial distribution functions along the magnetic field, and takes account of enhanced fractions of high-energy particles, which are characteristic of rarefied and magnetized astrophysical plasmas, in comparison with the bi-Maxwellian distributions. These new distributions permit the derivation of general dispersion relations that are exactly valid for waves with Im (ω) > 0, and represent good approximations for those with Im (ω) > 0. Furthermore, the explicit form of the dispersion relations is shown to be valid for distribution functions of different shapes. Because of their algebraic structure, the solution of the dispersion relations can be shown to be equivalent to the determination of the roots of complex-valued polynomials. The cold plasma, the Maxwellian plasma and the so-called quasi-Maxwellian plasma appear in this formalism as asymptotic and special cases. The reliability of the model is demonstrated with the calculation of dispersion curves, growth and damping rates for several standard modes, and by comparing it with previous calculations carried out using explicit Maxwellian distributions. Finally, the tendency of the solar wind to generate ion-cyclotron waves is investigated as a first, new application.

Type
Research Article
Information
Journal of Plasma Physics , Volume 49 , Issue 1 , February 1993 , pp. 101 - 123
Copyright
Copyright © Cambridge University Press 1993

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