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A general dispersion relation for non-uniform magnetized plasmas

Published online by Cambridge University Press:  13 March 2009

W. All'an
W. All'an
Affiliation:
Department of Mathematics, Cranfield Institute of Technology
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Abstract

A general dispersion relation is derived for linear waves in a non-uniform, magnetized plasma using the polarized co-ordinate system. An equilibrium distribution function with general gradients in density and temperature (and differing parallel and perpendicular temperatures) is proposed using polarized tensors. A compact conductivity tensor is derived in terms of tensor quantities, including certain tensor moment integrals whose elements may be evaluated separately from a given problem. This is of importance in computational applications. The derivation is under the restrictions (a) small gradients, (b) the local approximation of Krall & Rosenbluth, and (c) β⊥ ≪ 1. Conditions for coupling of electrostatic and electro-magnetic modes are investigated.

Type
Research Article
Information
Journal of Plasma Physics , Volume 16 , Issue 3 , December 1976 , pp. 399 - 413
Copyright
Copyright © Cambridge University Press 1976

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References

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