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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

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