Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-26T18:53:45.853Z Has data issue: false hasContentIssue false

Parametric decay of magneto-acoustic oscillations in a cylindrical plasma

Published online by Cambridge University Press:  13 March 2009

N. F. Cramer
Affiliation:
School of Physics, University of Sydney, Sydney, N.S.W. 2006, Australia
W. N-C. Sy
Affiliation:
Research School of Physical Sciences, Australian National University, Canberra, A.C.T. 2600, Australia

Abstract

Parametric decay of magneto-acoustic oscillations in a cylindrical plasma column is considered, including the Hall effect and the effects of finite resistivity. Growth rates for axisymmetric modes in decay instabilities are derived and applied to the problems of parametric excitation of Alfvén waves and supplementary heating of plasmas. It is shown that both the slow (ion cyclotron) and fast (compressional) modes may be parametrically excited. The threshold &litudes for nonlinear dissipation of pump field energy are calculated and briefly discussed.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1979

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

Cramer, N. F. 1975 Plasma Phys. 17, 967.CrossRefGoogle Scholar
Cramer, N. F. 1976 Plasma Phys. 18, 749.CrossRefGoogle Scholar
Cramer, N. F. 1978 Phys. Fluids, 21, 835.CrossRefGoogle Scholar
Cramer, N. F. & Hewitt, R. G. L. 1975 Phys. Lett. 54 A, 493.CrossRefGoogle Scholar
Elfimov, A. G. & Nekrasov, F. M. 1973 Nucl. Fusion, 13, 653.CrossRefGoogle Scholar
Ivanov, N. V. & Kovan, I. A. 1975 Nucl. Fusion Supp. 41.Google Scholar
Lehane, J. & Paoloni, F. J. 1972 Plasma Phys. 14, 461.CrossRefGoogle Scholar
Montgomery, D. & Harding, R. 1966 Phys. Lett. 23, 670.CrossRefGoogle Scholar
Nishikawa, K. & Liu, C. S. 1976 Advances in Plasma Physics (ed. Simon, A. and Thompson, W. B.), vol. 6. Academic Press.Google Scholar
Sy, W. N-C. 1977 J. Plasma Phys. 17, 281.CrossRefGoogle Scholar
Sy, W. N-C. 1978a Plasma Phys. 20, 33.CrossRefGoogle Scholar
Sy, W. N-C. 1978b Plasma Phys. 20, 1307.CrossRefGoogle Scholar
Vahala, G. & Montgomery, D. 1971 Phys. Fluids, 14, 1137.CrossRefGoogle Scholar
Vdovin, V. L., Zinov'ev, O. A., Ivanov, A. A., Kozorovitskii, L. L., Kroto, M. F., Parail, V. V., Rakhimbabaev, Ya. R., Rusanov, V. D. & Shapotkovskii, N. V. 1973 JETP Lett. 17, 2.Google Scholar
Woods, L. C. 1962 J. Fluid Mech. 13, 570.CrossRefGoogle Scholar