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Simplified model of nonlinear Landau damping
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View: Figures


Image of FIG. 1.
FIG. 1.

The results of numerical simulations using a Vlasov code (solid blue lines) and their approximations with the simplified model of nonlinear Landau damping (dashed red lines). Parameters of the simulation: , , , and . The upper left plot shows the time dependence of the plasma wave amplitude. The upper right plot shows the phase mismatch between the plasma wave and the driving source. The lower plots show the Landau damping rate (lower left plot) and the nonlinear frequency shift (lower right plot) of the plasma wave derived from Eqs. (20) and (21).

Image of FIG. 2.
FIG. 2.

Accuracy of the simplified fluid model of Landau damping. The upper plot shows the difference between the solutions of the fluid and the Vlasov models vs the amplitude of the driving force at . The lower plot shows the difference between the solutions vs the plasma temperature at .

Image of FIG. 3.
FIG. 3.

Accuracy of the simplified fluid models of Landau damping. The difference between the absolute amplitudes of the kinetic and fluid solutions are shown for the same parameters as in Fig. 2. Blue stars represent the simplified model presented in this paper. Green circles and black squares represent the solutions predicted by Lindberg et al. (Ref. 32) and Benisti and Gremille (Ref. 31) models, respectively.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Simplified model of nonlinear Landau damping