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On the application of the ideal magnetohydrodynamic linear eigenvalue equation to the Z-pinch

Published online by Cambridge University Press:  13 March 2009

S. Kanellopoulos ,
M. Coppins  and
M. G. Haines
S. Kanellopoulos
Affiliation:
Blackett Laboratory, Imperial College, London SW7 2BZ, U.K.
M. Coppins
Affiliation:
Blackett Laboratory, Imperial College, London SW7 2BZ, U.K.
M. G. Haines
Affiliation:
Blackett Laboratory, Imperial College, London SW7 2BZ, U.K.
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Extract

A study of the ideal magnetohydrodynamic linear eigenvalue spectrum for free-boundary modes in the Z-pinch is presented. The application of a variational method to estimate eigenvalues is described and limitations imposed by the nature of the spectrum are discussed. An analytic expression for the long-wavelength m = 0 growth rate is derived

Type
Research Article
Information
Journal of Plasma Physics , Volume 39 , Issue 3 , June 1988 , pp. 521 - 538
Copyright
Copyright © Cambridge University Press 1988

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References

REFERENCES

Appert, K., Gruber, R. & Vaclavik, J. 1974 Phys. Fluids, 17, 1471.CrossRefGoogle Scholar
Bateman, G. 1978 MHD Instabilities. MIT Press.Google Scholar
Bernstein, I. B., Frieman, E. A., Kruskal, M. D. & Kulsrud, R. M. 1958 Proc. R. Soc. Lond. A 244, 17.Google Scholar
Coppins, M. 1987 Plasma Phys. Contr. Fusion. (To be published.)Google Scholar
Goedbloed, J. P. 1975 Phys. Fluids, 18, 1258.CrossRefGoogle Scholar
Goedbloed, J. P. 1979 Lecture Notes on Ideal Magnetohydrodynamics. Fom-Instituut voor Plasmafysics, Nieuwegein, Netherlands.Google Scholar
Goedbloed, J. P. & Sakanaka, P. H. 1974 Phys. Fluids, 17, 908.CrossRefGoogle Scholar
Grad, H. 1973 Proc. Natl Acad. Sci. USA, 70, 3277.CrossRefGoogle Scholar
Hain, K. & Lust, R. 1958 Z. Naturforsch. 13a, 936.CrossRefGoogle Scholar
Hammel, J. E. & Scudder, D. W. 1987 Proceedings of 14th European Conference on Controlled Fusion and Plasma Physics (ed. Engelmann, F., Alvarez Rivas, J. L.), part 2, p. 450. European Physical Soc.Google Scholar
Kadomtsev, B. B. 1966 Reviews of Plasma Physics (ed. Leontovich, M. A.), vol. 11D1, p. 153. Consultants Bureau, New York.Google Scholar
Morse, P. M. & Feshbach, H. 1953 Methods of Theoretical Physics, vol. 2, p. 1108. McGraw-Hill.Google Scholar
Newcomb, W. A. 1983 Phys. Fluids, 26, 3246.CrossRefGoogle Scholar
Sethian, J. D., Robson, A. E., Gerber, K. A. & DeSilva, A. W. 1987 Phys. Rev. Lett. 59, 892.CrossRefGoogle Scholar
Suydam, B. R. 1958 Proceedings of 2nd United Nations International Conference on the Peaceful Uses of Atomic Energy, vol. 31, p. 157. United Nations,Geneva.Google Scholar
Tayler, R. J. 1957 Proc. Phys. Soc. B 70, 31.CrossRefGoogle Scholar