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Stability of Vlasov equilibria. Part 1. General theory

Published online by Cambridge University Press:  13 March 2009

K. R. Symon ,
C. E. Seyler  and
H. R. Lewis
K. R. Symon
Affiliation:
University of Wisconsin, Department of Physics, Madison, Wisconsin 53706
C. E. Seyler
Affiliation:
Los Alamos National Laboratory, University of California, Los Alamos, New Mexico 87545
H. R. Lewis
Affiliation:
Los Alamos National Laboratory, University of California, Los Alamos, New Mexico 87545
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Extract

We present a general formulation for treating the linear stability of inhomogeneous plasmas for which at least one species is described by the Vlasov equation. Use of Poisson bracket notation and expansion of the perturbation distribution function in terms of eigenfunctions of the unperturbed Liouville operator leads to a concise representation of the stability problem in terms of a symmetric dispersion functional. A dispersion matrix is derived which characterizes the solutions of the linearized initial-value problem. The dispersion matrix is then expressed in terms of a dynamic spectral matrix which characterizes the properties of the unperturbed orbits, in so far as they are relevant to the linear stability of the system.

Type
Articles
Information
Journal of Plasma Physics , Volume 27 , Issue 1 , February 1982 , pp. 13 - 24
Copyright
Copyright © Cambridge University Press 1982

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References

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