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Stability of Vlasov equilibria. Part 3. Models

Published online by Cambridge University Press:  13 March 2009

Charles E. Seyler  and
H. Ralph Lewis
Charles E. Seyler
Affiliation:
Los Alamos National Laboratory, University of California, Los Alamos, New Mexico 87545
H. Ralph Lewis
Affiliation:
Los Alamos National Laboratory, University of California, Los Alamos, New Mexico 87545
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Extract

In this third of a series of papers on the stability of Vlasov equilibria, the dispersion functional technique developed in part 1 is applied to the multi-species Vlasov plasma and to the Vlasov-fluid model. An alternative form of the dispersion functional is derived for the Vlasov-fluid model in which magnetohydrodynamic and kinetic aspects of the problem are separated explicitly. A necessary and sufficient condition is derived for stability with the Vlasov-fluid model. Stability of the multi-species Vlasov plasma is discussed and a necessary and sufficient condition for stability near a marginal point is derived. Explicit formulae for quantities occurring in the dispersion functional are given in cylindrical co-ordinates for the Vlasov-fluid model when there is one nonignorable co-ordinate in the equilibrium. The dispersion functional for a multi-species Vlasov plasma is shown to be related to the ponderomotive Hamiltonian.

Type
Articles
Information
Journal of Plasma Physics , Volume 27 , Issue 1 , February 1982 , pp. 37 - 53
Copyright
Copyright © Cambridge University Press 1982

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References

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