Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-06T01:13:41.414Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

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

Allan, W. 1974 Ph.D. thesis, St Andrews University.Google Scholar
Allan, W. & Sanderson, J. J. 1974 Plasma Phys. 16, 753.CrossRefGoogle Scholar
Allan, W. & Sanderson, J. J. 1976 J. Plasma Phys. 15, 41.CrossRefGoogle Scholar
Buneman, O. 1961 Phys. Fluids, 4, 669.CrossRefGoogle Scholar
Callen, J. D. & Guest, G. E. 1973 Nucl. Fusion, 13, 87.CrossRefGoogle Scholar
Clemmow, P. C. & Dougherty, J. P. 1969 Electrodynamics of Particles and Plasmas. Addison-Wesley.Google Scholar
Dougherty, J. P. 1964 Phys. Fluids, 7, 1788.CrossRefGoogle Scholar
Fried, B. D. & Conte, S. D. 1961 The Plasma Dispersion Function. Academic.Google Scholar
Harris, E. G. 1961 J. Nuel. Energy Part C: Plasma Physics 2, 138.CrossRefGoogle Scholar
Krall, N. A. 1968 Advances in Plasma Physics, vol. 1 (ed. Simon, A. & Thompson, W. B.). Interscience.Google Scholar
Krall, N. A. & Rosenbluth, M. N. 1963 Phys. Fluids, 6, 254.CrossRefGoogle Scholar
Lashmore-Davies, C. N. 1969 Plasma Phys. 11, 271.CrossRefGoogle Scholar