Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-25T06:52:37.688Z Has data issue: false hasContentIssue false
  • English
  • Français

The interface of a uniform plasma enveloped by the magnetic field of a system of line currents

Published online by Cambridge University Press:  13 March 2009

C. Sozou
C. Sozou
Affiliation:
Department of Applied Mathematics and Computing Science, The University, Sheffield
Get access Rights & Permissions [Opens in a new window]

Abstract

It is shown that complex variable transformations, suitable for obtaining the solution for the field boundary of a system of line currents confined in one cavity by a perfectly conducting uniform plasma, can be used for obtaining the solution to the inverse problem where a perfectly conducting uniform plasma is confined in one cavity by a system of line currents. It is deduced that the minimum number of line currents for confining (not stably) a plasma is two. The equilibrium configurations for several special but simple cases are investigated and discussed.

Type
Research Article
Information
Journal of Plasma Physics , Volume 3 , Issue 4 , December 1969 , pp. 651 - 660
Copyright
Copyright © Cambridge University Press 1969

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

REFERENCES

Berkowitz, J., Friedrichs, K. O., Goertzel, H., Killeen, J. & Rubin, E. 1958 a Peaceful Uses of Atomic Energy (United Nations, Geneva), 31, 171.Google Scholar
Berkowitz, J., Grad, H. & Rubin, H. 1958 b Peaceful Uses of Atomic Energy (United Nations, Geneva), 31, 177.Google Scholar
Downs, A. M., Hewson-Browne, R. C., Diermendjian, A. & Kendall, P. C. 1966 Quart. J. Mech. and Appl. Math. 19, 27.Google Scholar
Grad, H. & Rubin, H. 1958 Peaceful Uses of Atomic Energy (United Nations, Geneva), 31, 190.Google Scholar
Sozou, C. 1966 J. Fluid Mech. 24, 689.Google Scholar