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Nonlinear dynamics of low-frequency drift waves

Published online by Cambridge University Press:  13 March 2009

M. Beckmann ,
P. Frank  and
G. Himmel
M. Beckmann
Affiliation:
Institute für Experimentalphysik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany
P. Frank
Affiliation:
Institute für Experimentalphysik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany
G. Himmel
Affiliation:
Institute für Experimentalphysik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany
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Abstract

The nonlinear behaviour of unstable drift waves in magnetized plasmas is analysed analytically. Most attention is paid to low-frequency waves created in electron density and temperature gradients of opposite sign. This situation is typically encountered in radiofrequency-produced discharges. The model developed explains nonlinear features such as mode competition, amplitude saturation and magnetic field hysteresis, which are observed experimentally.

Type
Research Article
Information
Journal of Plasma Physics , Volume 55 , Issue 1 , February 1996 , pp. 3 - 23
Copyright
Copyright © Cambridge University Press 1996

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References

REFERENCES

Bogoliubov, N. & Mitropolskii, Y. A. 1961 Asymptotic Methods in the Theory of Nonlinear Oscillations, p. 39. Gordon and Breach, New York.Google Scholar
Dupree, T. H. 1968 0Nonlinear theory of low-frequency instabilities. Phys. Fluids 11, 2680.CrossRefGoogle Scholar
Frank, P., Himmel, G. & Schlüter, H. 1992 Observation of low-frequency density oscillations in an r.f. heated magnetoplasma. Plasma Phys. Contr. Fusion 34, 1201.Google Scholar
Frank, P., Beckmann, M. & Himmel, G. 1996 Analytical description of low-frequency electron density and temperature oscillations. J. Plasma Phys. 55, 25.CrossRefGoogle Scholar
Kakutani, T. & Sugimoto, N. 1974 Krylov-Bogoliubov-Mitropolsky method for nonlinear wave modulation. Phys. Fluids 17, 1617.Google Scholar
Kauschke, U. & Schlüter, H. 1991 On nonlinear periodic drift waves. Plasma Phys. Contr. Fusion 33, 1309.CrossRefGoogle Scholar
Marden, Marshall E., Ellis, R. F. & Walsh, J. E. 1986 Collisional drift instability in a variable radial electric field. Plasma Phys. Contr. Fusion 28, 1461.Google Scholar
Montgomery, D. & Tidman, D. A. 1964 Secular and nonsecular behavior for the cold plasma equation. Phys. Fluids 7, 242.Google Scholar
Monticello, D. A. & Simon, A. 1974 Nonlinear theory of the collisional drift-wave instability. Phys. Fluids 17, 791.Google Scholar
Nordman, H., Pavlenko, V. P. & Weiland, J. 1993 Subcritical reactive drift wave turbulence. Phys. Fluids B5, 402.CrossRefGoogle Scholar
Shukla, P. K. & Sharma, A. S. 1978 Self-modulation of a wave-packet in a nonlinear dispersive medium. Phys. Lett. 65A, 279.Google Scholar
Tidman, D. A. & Stainer, H. M. 1965 Frequency and wavenumber shifts for nonlinear waves in a ‘hot’ plasma. Phys. Fluids 8, 345.CrossRefGoogle Scholar