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Dynamic stability of closed plasma configurations

Published online by Cambridge University Press:  13 March 2009

Daniel R. Wells
Affiliation:
Department of Physics, University of Miami, Goral Gables, Florida

Abstract

The global stability of closed plasma configurations is related to the dynamical principle of least constraint and the spacetime and gauge symmetries of the flow fields. This leads to an entirely new concept of MHD stability which is more basic than stability predictions which rely on a linearized perturbation analysis. The predictions of the theory are compared to recent experimental results obtained in studies of the stability of plasma confinement geometries. The theory predicts the violent ‘instabilities’ of these systems which are currently attributed to other mechanisms. Several pertinent details of the theory which are widely misinterpreted are discussed and clarified.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1970

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References

REFERENCES

Arfken, G. 1966 Mathematical Methods for Physicists, p. 637. Academic Press, Inc.Google Scholar
Calkin, M. G. 1963 Can. J. Phys. 41, 2241.CrossRefGoogle Scholar
Chandrasekhar, S. 1956 Proc. Natn. Acad. Sci. U.S.A. 42, 273.CrossRefGoogle Scholar
Harries, W. L. 1969 MATT-714. Plasma Physics Laboratory, Princeton University.Google Scholar
Harries, W. L., Palladino, R. & Yoshikawa, S. 1968 Bull. Am. Phys. Soc. 13, 870.Google Scholar
Hughes, W. F. & Young, F. J. 1966 The Electromagnetodynamics of Fluids. New York: John Wiley and Sons, Inc.Google Scholar
Kapur, J. N. 1964 Appl. Sci. Res. 9, Sect. A, 139.CrossRefGoogle Scholar
Norwood, J. 1969 Annual Meeting of the Division of Plasma Physics of the American Physical Society, Session 88–8.Google Scholar
Ohkwa, T. & Kerst, D. 1961 Phys. Rev. Lett. 7, 41.CrossRefGoogle Scholar
Spitzer, L. Jr 1962 Physics of Fully Ionized Gases. New York: John Wiley & Sons, Inc.Google Scholar
Thompson, W. B. 1962 An Introduction to Plasma Physics. Pergamon Press.CrossRefGoogle Scholar
Wells, D. R. & Norwood, J. Jr 1969 J. Plasma Phys. 3, part 1, 2146.CrossRefGoogle Scholar
Wells, D. R. 1964 Phys. Fluids, 7, 826.CrossRefGoogle Scholar
Wells, D. R. 1966 Phys. Fluids, 9, 1010.CrossRefGoogle Scholar
Wentzel, D. G. 1960 Astrophys. J. (Suppl.), 5, 187.CrossRefGoogle Scholar
Woltjer, L. 1959 Astrophys. J. 130, 400.CrossRefGoogle Scholar
Yoshikawa, S. & Barrault, M. R. 1968 MATT-626. Plasma Physics Laboratory, Princeton University, Also Phys. Fluids (in the press).Google Scholar
Yoshikawa, S., Barrault, M., Harries, W., Meade, D., Palladino, R. & von Goeler, S. 1968 Plasma Physics and Controlled Nuclear Fusion Research. Conference Proceedings, Novosibirsk (IAEA, Vienna, 1969), vol. 1, p. 403.Google Scholar
Yoshikaw, S. 1969 On achieving Toroidal Equilibrium, MATT-704. Plasma Physics Laboratory, Princeton University.Google Scholar