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Excitation of long-wave quasi-perpendicular electrostatic ion-cyclotron waves in multi-species weakly ionized plasmas

Published online by Cambridge University Press:  13 March 2009

B. S. Milić
Affiliation:
Department of Physics and Meteorology, Faculty of Natural and Mathematical Sciences, Belgrade, P.O. Box 550, Yugoslavia

Abstract

It is shown, using kinetic equations with BGK model collision integrals, that in a multi-species weakly ionized plasma the quasi-perpendicular ion-cyclotron instability (waves of growing amplitude) excited by the electron drift parallel to the background magnetic field first sets in for long waves (modal wavelengths much larger than the electron mean free path) as the drift is gradually increased, much as in plasmas with only one ion species. Only waves with modal frequencies close to some cyclotron harmonics of some of the ion species present are taken into account in the present work. Owing to the mutual commensurability of all the ion-cyclotron frequencies, more than one species of ions may be ‘resonant’ with any mode of the type considered. The role of ‘resonant’ and ‘non-resonant’ ion species is investigated, both in general and for some particular plasmas. Some numerical details are also given. It is shown that although in most instances the threshold drifts vary monotonically (but not linearly) as the plasma composition is varied, there are cases in which maxima or minima (often depending on the degree of non-isothermality) of the threshold drift magnitude are predicted for some specific plasma compositions. These are usually encountered in plasmas containing ions with different charge numbers.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1990

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References

REFERENCES

Abramowitz, M. & Stegun, I. A. 1972 Handbook of Mathematical Functions. Dover.Google Scholar
Bakanov, S. P. & Rukhadze, A. A. 1965 ZhETF 48, 1656.Google Scholar
Bharuthram, R. & Hellberg, M. A. 1986 J. Plasma Phys. 35, 393.CrossRefGoogle Scholar
Buchsbaum, S. J. 1960 a Phys. Fluids, 3, 418.CrossRefGoogle Scholar
Buchsbaum, S. J. 1960 b Phys. Rev. Lett. 5, 495.CrossRefGoogle Scholar
Drummond, W. E. & Rosenbluth, M. N. 1962 Phys. Fluids. 5, 1507.CrossRefGoogle Scholar
Finkelnburg, W. & Maeckert, H. 1956 Handbuch der Physik, vol. XXII (ed. Flügge, S.), p. 254. Springer.Google Scholar
Forslund, D. W., Kindel, J. M. & Stroscio, M. A. 1979 J. Plasma Phys. 21, 127.CrossRefGoogle Scholar
Gendrin, R., Ashour-Abdalla, M., Omura, Y. & Quest, K. 1984 J. Geophys. Res. A89, 9119.CrossRefGoogle Scholar
Grayson, D. J. & Hellberg, M. A. 1984 J. Plasma Phys. 32, 387.CrossRefGoogle Scholar
Hauck, J. P., Böhmer, H., Rynn, N. & Benford, G. 1978 J. Plasma Phys. 19, 237, 253.CrossRefGoogle Scholar
Janzen, G. 1980 J. Plasma Phys. 23, 321.CrossRefGoogle Scholar
Kaladze, T. D. & Tsamalashvili, L. V. 1978 Soviet Plasma Phys. 4, 394.Google Scholar
Lee, K. F. 1979 J. Plasma Phys. 22, 59.CrossRefGoogle Scholar
Levine, A. M. & Kuckes, A. F. 1966 Phys. Fluids, 9, 2263.CrossRefGoogle Scholar
Lominadze, D. G. 1975 Cyclotron Waves in Plasma. Metsniereba, Tbilisi (in Russian).Google Scholar
Milić, B. 1972 Phys. Fluids, 15, 1630.CrossRefGoogle Scholar
Milić, B. S. 1987 The Physics of Ionized Gases (ed. Purić, J. & Belić, D.), p. 439. World Scientific.Google Scholar
Milić, B. S. & Brajušković, N. R. 1983 J. Plasma Phys. 29, 21.CrossRefGoogle Scholar
Milić, B. S. & Krstić, S. R. 1987 J. Plasma Phys. 38, 53.CrossRefGoogle Scholar
Milić, B. & Sünder, D. 1968 Zh. Tekh. Fiz. 38, 220.Google Scholar
Milić, B. & Sünder, D. 1969 Nucl. Fusion, 9. 19.CrossRefGoogle Scholar
Sato, T., Matsuura, K., Miyahara, A. & Nagao, S. 1967 J. Phys. Soc. Jpn. 23. 378.CrossRefGoogle Scholar
Sizonenko, V. L. & Stepanov, K. N. 1968 Pis'ma ZhETF 8, 592.Google Scholar
Stix, T. H. 1962 The Theory of Plasma Waves. McGraw-Hill.Google Scholar