Hostname: page-component-77c89778f8-m8s7h Total loading time: 0 Render date: 2024-07-20T14:14:31.958Z Has data issue: false hasContentIssue false

Oscillations of a plasma confined by the magnetic field of a line multipole

Published online by Cambridge University Press:  13 March 2009

David N. Burghes
Affiliation:
School of Mathematics, University of Newcastle-upon-Tyne

Abstract

The problem of confinement and stability of a plasma enveloped by the magnetic field of a line multipole is considered. An energy method is used to find the increment in potential energy when the configuration is given a small displacement. The frequency and modes of oscillation are found in a particular example.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1974

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

REFERENCE

Berkowitz, J., Friedrichs, K. O., Goertzel, H., Killeen, J. & Rubin, E. 1958 Peaceful Uses of Atomic Energy (United Nations, Geneva), 31, 171.Google Scholar
Berkowitz, J., Grad, H. & Rubin, H. 1958 Peaceful Uses of Atomic Energy (United Nations, Geneva), 31, 177.Google Scholar
Bernstein, I. B., Freiman, E. A., Kruskal, M. D. & Kulsrud, R. M. 1957 Proc. Roy. Soc. A 244, 17.Google Scholar
Burghes, D. N. 1967 Proc. London Math. Soc. (3) 17, 669.CrossRefGoogle Scholar
Grad, H. 1963 Progr. Nucl. Energy (11) 2, 189.Google Scholar
Sadowski, M. 1967 Phys. Lett. 25 A, 695.CrossRefGoogle Scholar
Sozou, C. 1969 J. Plasma Phys. 3, 651.CrossRefGoogle Scholar