Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-25T07:01:14.213Z Has data issue: false hasContentIssue false
  • English
  • Français

Drift waves and magnetic field oscillations in cylindrical plasmas

Published online by Cambridge University Press:  13 March 2009

H. A. Aebischer  and
Yu. S. Sayasov
H. A. Aebischer
Affiliation:
Institute of Physics, University of Fribourg, 1700 Fribourg, Switzerland
Yu. S. Sayasov
Affiliation:
Institute of Physics, University of Fribourg, 1700 Fribourg, Switzerland
Get access Rights & Permissions [Opens in a new window]

Abstract

A general investigation of linear drift-wave phenomena in cylindrically bounded plasmas, immersed in a magnetic field without shear and curvature, is performed within the two-fluid hydrodynamical approximation, taking into account electron-temperature oscillations and inhomogeneous radial distributions of the undisturbed electron density and temperature. For plasmas in which the electron temperature strongly exceeds the ion temperature the problem is reduced to an ordinary complex second-order differential equation describing the radial distribution of the oscillating electric potential. It is shown that the presence of electron-temperature oscillations (which must always exist in order to satisfy electron-energy conservation) and of radial gradients in the undisturbed electron temperature (which must always exist owing to cooling of the plasma at the boundary) leads to an important modification of the theory of drift waves in cylindrical plasmas (with regard to their stability and the radial distribution of the oscillating quantities) compared with previous papers in which these phenomena were disregarded. A numerical program for solving the corresponding complex-eigenvalue problem has been derived that allows a realistic calculation of all the quantities pertaining to drift-wave phenomena. It has been applied, in particular, to the calculation of the radial distribution of the oscillating coherent magnetic fields accompanying the coherent drift waves. The numerical results prove to be in good agreement with experiments performed with a helium plasma.

Type
Research Article
Information
Journal of Plasma Physics , Volume 40 , Issue 2 , October 1988 , pp. 319 - 336
Copyright
Copyright © Cambridge University Press 1988

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Baikov, I. S. 1966 Zh. Eksp. Teor. Fiz. Pis'ma, 4, 299 (in Russian).Google Scholar
Bogdankevich, L. S., Milich, B. & Rukhadze, A. A. 1968 Soviet Phys. Tech. Phys. 12, 1424.Google Scholar
Braginskii, S. I. 1965 Reviews of Plasma Physics, vol. 1 (ed. Leontovich, M. A.), p. 205. Consultants Bureau.Google Scholar
Chen, F. F. 1974 Introduction to Plasma Physics, p. 196. Plenum.Google Scholar
Egger, E., Vaucher, B. G., Sayasov, Yu. S. & Schneider, H. 1986 Helv. Phys. Acta 59, 490.Google Scholar
Ellis, R. F., Marden-Marshall, E. & Majeski, R. 1980 Plasma Phys. 22, 113.CrossRefGoogle Scholar
Evrard, M. P., Messiaen, A. M., Vandenplas, P. E. & Van Oost, G. 1979 Plasma Phys. 21, 999.CrossRefGoogle Scholar
Ginzburg, V. L. & Rukhadze, A. A. 1972 Handbuch der Physik, vol. XLIX/4 (ed. Flügge, S.), p. 395. Springer.Google Scholar
Jones, B., Banerjee, M. & Jones, L. 1984 Comput. J. 27, 184.Google Scholar
Krall, N. A. 1968 Advances in Plasma Physics, vol. 1 (ed. Simon, A. & Thompson, W. B.), p. 153. Wiley.Google Scholar
Laborie, P., Rocard, J. M., Rees, J. A., Delcroix, J. L. & Craggs, J. D. 1968 Tables de sections efficaces électroniques et coefficients macroscopiques, p. 93. Dunod.Google Scholar
Marden-Marshall, E., Ellis, R. F. & Walsh, J. E. 1986 Plasma Phys. Contr. Fusion, 28, 1461.CrossRefGoogle Scholar
Mitchner, M. & Kruger, Ch. H. 1973 Partially Ionized Gases, p. 94. Wiley.Google Scholar
Rukhadze, A. A. & Silin, V. P. 1969 Soviet Phys. Usp. 11, 659.CrossRefGoogle Scholar
Smirnov, B. M. 1972 Physics of Slightly Ionized Gases, p. 111. Nauka. (In Russian.)Google Scholar
Vaucher, B. G., Aebischer, H. A. & Sayasov, Yu. S. 1987 International Conference on Phenomena in Ionized Gases, ICPIG XVIII; Contributed Papers, vol. 2 (ed. W. T. Williams), p. 256. Adam Hilger.Google Scholar