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Multiple water-bag model and nonlinear plasma oscillations: appearance of a new pole

Published online by Cambridge University Press:  13 March 2009

M. Gros ,
P. Bertrand  and
G. Baumann
M. Gros
Affiliation:
Laboratoiro do Physique Théorique, Université do Nancy I, 54037 Nancy, France
P. Bertrand
Affiliation:
Laboratoiro do Physique Théorique, Université do Nancy I, 54037 Nancy, France
G. Baumann
Affiliation:
Laboratoiro do Physique Théorique, Université do Nancy I, 54037 Nancy, France
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Abstract

The complete second-order theory of the multiple water-bag model is developed for one-dimensional collisionless electrostatic waves, in terms of the initial value problem. Nonlinear frequency spectra are obtained in Van Kampen's formulation, and a new pole, already predicted by R. W. B. Best, appears for hot plasmas. This theory is successfully checked by a full numerical experiment of the Vlasov–Poisson system.

Type
Research Article
Information
Journal of Plasma Physics , Volume 20 , Issue 3 , December 1978 , pp. 465 - 478
Copyright
Copyright © Cambridge University Press 1978

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References

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