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Equilibrium and stability of collisionless systems in the paraxial limit

Published online by Cambridge University Press:  13 March 2009

William A. Newcomb
William A. Newcomb
Affiliation:
Lawrence Livermore National Laboratory, University of California, Livermore, California 94550, and Department of Applied Science, University of California, Davis, California 95616
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Abstract

A study is made of the equilibrium and stability of a magnetically confined collisionless plasma in the paraxial or ‘long, thin’ limit. The main field is poloidalaxisymmetric, and a stabilizing quadrupole field is superimposed.

Type
Research Article
Information
Journal of Plasma Physics , Volume 26 , Issue 3 , December 1981 , pp. 529 - 584
Copyright
Copyright © Cambridge University Press 1981

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References

REFERENCES

Bernstein, I. B., Frieman, E. A., Kruskal, M. D. & Kulsrud, R. M. 1958 Proc. Roy Soc. A 244, 17.Google Scholar
Chew, G. F., Goldberger, M. L. & Low, F. E. 1956 Proc. Roy. Soc. A 236, 112.Google Scholar
Courant, R. & Hilbert, D. 1953 Methods of Mathematical Physics, vol. I. Interscience.Google Scholar
Grad, H. 1967 Proceedings of Symposia in Applied Mathematics, vol. xviii, p. 162. American Mathematical Society.Google Scholar
Hall, L. S. & McNamara, B. 1975 Phys. Fluids, 18, 552.CrossRefGoogle Scholar
Hall, L. S. & Simonen, T. C. 1974 Phys. Fluids, 17, 1014.CrossRefGoogle Scholar
Hastie, R. J., Taylor, J. B. & Haas, F. A. 1967 Ann. Phys. (N.Y.), 41, 302.CrossRefGoogle Scholar
Laval, G., Mercier, C. & Pellat, R. 1965 Nucl. Fusion, 5, 156.CrossRefGoogle Scholar
Newcomb, W. A. 1958 Ann. Phys. (N.Y.), 3, 347.CrossRefGoogle Scholar
Newcomb, W. A. 1973 Ann. Phys. (N.Y.), 81, 231.CrossRefGoogle Scholar
Northrop, T. G. & Teller, E. 1960 Phys. Rev. 117, 215.CrossRefGoogle Scholar
Pearlstein, L. D., Kaiser, T. B. & Newcomb, V. A. 1981 Phys. Fluids, 24, 1326.CrossRefGoogle Scholar
Roman, P. 1961 Theory of Elementary Particles. North Holland.Google Scholar
Rosenbluth, M. N., Krall, N. A. & Rostoker, N. 1962 Nucl. Fusion Suppl. Pt. 1. 143.Google Scholar
Rosenbluth, M. N. & Longmire, C. 1957 Ann. Phys. (N.Y.), 1, 120.CrossRefGoogle Scholar
Struik, D. J. 1950 Lectures on Classical Differential Geometry. Addison-Wesley.Google Scholar
Thompson, W. B. 1962 An Introduction to Plasma Physics. Pergamon.CrossRefGoogle Scholar