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Application of the theory of mixing systems to nonlinear Landau damping

Published online by Cambridge University Press:  13 March 2009

L Krlín
Affiliation:
Institute of Plasma Physics, Czechoslovak Academy of Sciences Nademlýnská 600, Prague 9, Czechoslovakia

Abstract

Using a simple model of particles in a discrete spectrum of waves, we investigate the influence of stochastic instability of particle motion on the mechanism of nonlinear Landau damping. We show that, as long as particle trajectories in the spectrum are stochastically unstable (at the beat resonances under consideration), diffusion of particles takes place. We discuss the influence of this effect on the normal nonlinear Landau mechanism, and consider briefly the possibility of consequent heating in beam–plasma experiments.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1974

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References

REFERENCES

Dawson, J. M. & Shanny, R. 1968 Phys. Fluids, 11, 1506.CrossRefGoogle Scholar
Jaeger, F., Lichtenberg, A. J. & Liebermann, M. A. 1972 Plasma Phys. 14, 1073.CrossRefGoogle Scholar
Kainer, S., Dawson, J. & Coffey, T. 1972 Phys. Fluids, 15, 2419.CrossRefGoogle Scholar
Kaufman, A. 1971 Phys. Rev. Letters, 27, 376.CrossRefGoogle Scholar
Kaw, P. & Kruer, W. 1971 Phys. Fluids, 14, 190.CrossRefGoogle Scholar
Krlí, L. 1969 Czech. J. Phys. B 19, 1076.CrossRefGoogle Scholar
Ott, E. & Dum, C. T. 1971 Phys. Fluids, 14, 959.CrossRefGoogle Scholar
Piffl, V., šunka, P., Ullschmied, J., Jungwirth, K. & Krlín, L. 1971 Proc. Conf. on Plasma Physics, Madison, U.S.A., no. 11.Google Scholar
Seidl, M. & šunka, P. 1967 Nucl. Fusion, 7, 237.CrossRefGoogle Scholar
Tsytovitch, V. N. 1967 Nonlinear Effects in Plasma (In Russian.) Moscow: Nauka.Google Scholar
Zaslavskij, G. M. 1970 Statistical Irreversibility in Nonlinear Systems (In Russian.) Moscow: Nauka.Google Scholar