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Analytical description of low-frequency electron density and temperature oscillations

Published online by Cambridge University Press:  13 March 2009

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

Abstract

Low-frequency density and temperature oscillations (ω « νj, ωcj, where νj is the collision frequency with neutrals and ωcj is the cyclotron frequency; j = i, e) observed in magnetized radiofrequency-produced plasmas with electron density and temperature gradients across the magnetic field are analysed using a local two-fluid model. This model incorporates the electron energy equation. The resulting dispersion relation permits study of the parameter dependence of the complex angular wave frequency. Instability is found in the case where the election density and temperature gradients have opposite signs. This instability is classified as a low-frequency drift wave, and the criteria for its onset are obtained.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1996

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References

REFERENCES

Akbtscher, H. A. & Sayasov, Yu. S. 1988 Drift waves and magnetic field oscillations in cylindrical plasmas. J. Plasma Phys. 40, 319.Google Scholar
Baikov, I. S. & Rukhadze, A. A. 1969 Drift oscillations in a weakly ionized plasma. Soviet Phys. Tech. Phys. 13, 1315.Google Scholar
Beckmann, M., Frank, P. & Himmel, G. 1994 Low-frequency oscillation in magnetized pla.smas with radial electron density and temperature gradients in opposite directions. Plasma Phys. Contr. Fusion 36, 131.CrossRefGoogle Scholar
Beckman, M., Frank, P. & Himmel, G. 1996 Nonlinear dynamics of low-frequency drift waves. J. Plasma Phys. 55, 3.CrossRefGoogle Scholar
Bondarenko, V. E., Ivanova, O. P. & Shvilkin, B. N. 1987 Low-frequency oscillations caused in a magnetized plasma by a departure from quasineutrality in perturbations. Soviet J. Plasma Phys. 13, 38.Google Scholar
Braginskii, S. I. 1965 Reviews of Plasma Physics (ed. Leontovich, M. A.), Vol. 1, p. 205. Consultants Bureau, New York.Google Scholar
Evrard, M. P., Messiaen, A. M., Vandenplas, P. B. & Van Oost, O. 1979 Drift waves, anomalous diffusion and equilibrium in a magiietized plasma column. Plasma Phys. 21, 999.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.CrossRefGoogle Scholar
Golant, V. E., Zhilinsky, A. P. & Sakharov, I. E. 1980 Fundamentals of Plasma Physics, p. 287. Wiley, New York.Google Scholar
Putvinkit, S. V. & Timofeev, A. V. 1975 Drift instability in a weakly ionized plasma. Soviet Phys. Tech. Phys. 19, 1295.Google Scholar
Shukla, P. K., Dwivendi, C. B., Das, A. C. & Bharuthram, R. 1992 Instability of electrostatic waves in nonuniform weakly ionized magnetized plasmas. Phys. Fluids B4, 3764.CrossRefGoogle Scholar
Timofeev, A. V. & Shvilkin, B. N. 1976 Drift-dissipative instability of an inhomnogeneous plasma in a magnetic field. Soviet Phys. Usp. 19, 149.CrossRefGoogle Scholar