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On the theory of electromagnetic waves and instabilities in multi-species weakly ionized plasmas in external d.c. electric field

Published online by Cambridge University Press:  13 March 2009

B. S. Milić  and
S. R. Krstić
B. S. Milić
Affiliation:
Institute of Physics, Faculty of Natural and Mathematical Sciences, Belgrade, Yugoslavia
S. R. Krstić
Affiliation:
Institute of Physics, Faculty of Natural and Mathematical Sciences, Belgrade, Yugoslavia
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Abstract

Electromagnetic modes with the electric vector of the wave lying in the plane defined by the wave vector and the external d.c. electric field are studied theoretically in weakly ionized plasmas with several sorts of ions. The corresponding instability criteria are also given. The analysis is based on kinetic equations with BGK model collision integrais for the one-particle distribution functions of the charged constituents (electrons and all sorts of ions). The linear theory of perturbation is applied. Special attention is given to the long-wave domain (modal wavelengths much larger than the electron mean free path): it is in this domain that the instabilities are found to set in first as the electron drift is gradually increased. The increments of these instabilities are, however, smaller than in the short-wave domain which was mainly studied before. Apart from the modes which exist in weakly ionized plasmas with only one ion species, and which re-appear in the case studied here with somewhat altered characteristics, a new slow mode, specifie for multi-species weakly ionized plasmas, is found. Its phase velocity is below the electron thermal velocity, and its existence, as well as the conditions of excitation of the corresponding instability, depend on the plasma composition and non-isothermality (viz. the ratio Te/Ti). In some situations, two such modes are possible. The analysis of the instabilities is completed by a brief description of two (sometimes three) branches of ion acoustic instability, specific for the multi-species plasmas and propagating strictly along the direction of the external electric field.

Type
Research Article
Information
Journal of Plasma Physics , Volume 38 , Issue 1 , August 1987 , pp. 53 - 77
Copyright
Copyright © Cambridge University Press 1987

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References

REFERENCES

Bhatnagar, P. L., Gross, E. P. & Krook, M. 1954 Phys. Rev. 94, 511.CrossRefGoogle Scholar
Bokova, N. A. & Ivasenko, N. F. 1975 High Temp. Thermophys. 13, 241. (In Russian.)Google Scholar
Brand, K. P. & Kopainsky, J. 1979 Appl. Phys. 18, 321.Google Scholar
Clemmow, P. C. & Dougherty, J. P. 1969 Electrodynamics of Particles and Plasma. Addison-Wesley.Google Scholar
Gendrin, R., Ashour-Abdalla, M., Omura, Y. & Quest, K. 1984 J. Geophys. Res. A89, 9119.Google Scholar
Ginzburg, V. L. 1960 Propagation of Electromagnetic Waves in Plasma. Nauka, Moscow (in Russian).Google Scholar
Gupta, U., Blaha, M. & Davis, J. 1984 J. Phys. B, 17, 3617.Google Scholar
Ivanov, V. A. & Penkin, N. P. 1984 J. Appl. Spectroscopy, 40, 5. (In Russian.)CrossRefGoogle Scholar
Janzen, G. 1980 J. Plasma Phys. 23, 321.Google Scholar
Jones, R. 1983 Indian J. Phys. B57, 378.Google Scholar
Kaladze, T. D. & Tsamalashvili, L. V. 1978 Soviet Plasma Phys. 4, 394.Google Scholar
Mikhailovskii, A. B. & Pogutse, O. P. 1964 Soviet Phys. Doklady, 156, 64.Google Scholar
Milić, B. 1972 Phys. Fluids, 15, 1630.CrossRefGoogle Scholar
Milić, B. S. & Brajušković, N. R. 1983 J. Plasma Phys. 29, 21.Google Scholar
Milić, B. & Rukhadze, A. A. 1968 Soviet J. Tech. Phys. 38, 229.Google Scholar
Mitchell, H. G. & Palmadesso, P. J. 1984 J. Geophys. Res. A89, 7573.Google Scholar
Mollinari, E. 1983 Proceedings of 16th International Conference on Phenomena in Ionized Gases, Dusseldorf, p. 74.Google Scholar
Ono, S. & Teii, S. 1984 J. Phys. D, 17, 1999.Google Scholar
Pitchford, L. C. 1984 Europhysics Conference Abstracts, 7th European Sectional Conference on the Atomic and Molecular Physics of Ionized Gases, Bari, p. 211.Google Scholar
Schwarz, H. E., Thornton, J. & Mason, I. M. 1984 Nucl. Instrum. Meth. Phys. Res. 225, 325.CrossRefGoogle Scholar
Skinner, C. H., Suckewer, S., Cohen, S. A., Schilling, G., Wilson, R. & Stratton, B. 1984 Phys. Rev. Lett. 53, 458.CrossRefGoogle Scholar
Stacey, W. M. & Sigmar, D. J. 1984 Phys. Fluids, 27, 2070.CrossRefGoogle Scholar
Tyndall, G. W., DeVries, M. S. & Martin, R. M. 1984 Chem. Phys. Lett. 110, 400.Google Scholar
Voitik, M. G. & Moltchanov, A. G. 1979 Zh. Tekh. Fiz. (USSR), 24, 2289.Google Scholar
Zaitsev, A. A., Milić, B. S., Rukhadze, A. A. & Shvilkin, B. N. 1967 Soviet J. Tech. Phys. 37, 1607.Google Scholar
Zakharov, M. A., Moltchanov, M. I. & Yaroshenko, N. G. 1984 J. Radio Engineering and Electronics (USSR), 29, 2403.Google Scholar
Žigman, V. J. & Milić, B. S. 1980 J. Plasma Phys. 24, 503.Google Scholar