Multiple water-bag model and nonlinear plasma oscillations: appearance of a new pole
- 1 December 1978
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Plasma Physics
- Vol. 20 (3) , 465-478
- https://doi.org/10.1017/s0022377800023989
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.Keywords
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