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An average Lagrangian formulation of ponderomotive forces in Vlasov plasmas

Published online by Cambridge University Press:  13 March 2009

G. W. Kentwell
G. W. Kentwell
Affiliation:
Department of Theoretical Physics, Research School of Physical Sciences, Australian National University, Canberra, ACT 2601, Australia
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Abstract

Whitham's averaged Lagrangian principle, and the Low Lagrangian are used to derive the averaged Lagrangian for slowly varying electrostatic and electromagnetic wave packets in dispersive Vlasov plasmas. From the averaged Lagrangian, the stress tensor and wave-momentum densities are derived for the total wave-particle system. For a specific division of these total quantities into wave and background parts, time-dependent ponderomotive forces in Vlasov plasmas are derived from a momentum conservation theorem. We also show that the wave-induced magnetization current can be derived by the averaged Lagrangian method.

Type
Research Article
Information
Journal of Plasma Physics , Volume 34 , Issue 2 , October 1985 , pp. 289 - 298
Copyright
Copyright © Cambridge University Press 1985

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References

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