Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-26T07:37:55.631Z Has data issue: false hasContentIssue false
  • English
  • Français

Toroidal equilibrium of a non-neutral plasma with toroidal current, inertia and pressure

Published online by Cambridge University Press:  13 March 2009

S. N. Bhattacharyya  and
K. Avinash
S. N. Bhattacharyya
Affiliation:
Institute for Plasma Research, Bhat, Gandhinagar 382424, India
K. Avinash
Affiliation:
Institute for Plasma Research, Bhat, Gandhinagar 382424, India
Get access Rights & Permissions [Opens in a new window]

Abstract

Equilibrium of non-neutral clouds in a toroidal vessel with toroidal magnetic field is demonstrated in the presence of a toroidal current, finite mass and finite pressure. With a toroidal current, it is shown that in a large-aspect-ratio conducting torus the equilibrium is governed by competition between forces produced by image charges and image currents. When (where Er and Bθ are the self electrostatic and self magnetic fields of the cloud), the confinement is electrostatic and plasma shifts inwards; when the confinement is magnetic and plasma shifts outwards. For there is no equilibrium. With finite mass or finite pressure, it is shown, in a large-aspectratio approximation, that the fluid drift surfaces and equipotential surfaces are displaced with respect to each other. In both cases the fluid drift surfaces are shifted inwards from the equipotential surfaces.

Type
Research Article
Information
Journal of Plasma Physics , Volume 47 , Issue 3 , June 1992 , pp. 349 - 359
Copyright
Copyright © Cambridge University Press 1992

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

Avinash, K. 1991 Phys. Fluids B 3, 3226.CrossRefGoogle Scholar
Clark, W., Kurn, P., Mondelli, A. & Rostoker, N. 1976 Phys. Rev. Lett. 37, 592.CrossRefGoogle Scholar
Daugherty, J. D., Eninger, J. E. & Janes, G. S. 1969 Phys. Fluids 12, 2677.CrossRefGoogle Scholar
Daugherty, J. D. & Levy, R. H. 1967 Phys. Fluids 10, 155.CrossRefGoogle Scholar
Davidson, R. C. 1990 Physics of Non-Neutral Plasmas, chap. 1. Addison-Wesley.Google Scholar
DeGrassie, J. S., & Malmberg, J. H. 1979 Phys. Rev. Lett. 39, 1077.CrossRefGoogle Scholar
Elsässer, K., Yu, M. Y. & Shukla, P. K. 1991 Phys. Lett. 152A, 59.CrossRefGoogle Scholar
Freidberg, J. P. 1982 Rev. Mod. Phys. 54, 801.CrossRefGoogle Scholar
Janes, G. S., Levy, R. H., Bethe, H. A. & Feld, B. T. 1961 Phys. Rev. 145, 925.CrossRefGoogle Scholar
Kolyada, Yu. E., Kornilov, E. A. & Fainberg, Ya. B. 1974 Soviet Phys. Tech. Phys. 18, 1364.Google Scholar
O'Neil, T. M. 1980 Comm. Plasma Phys. Contr. Fusion 5, 213.Google Scholar
Turner, L. 1991 Phys. Fluids B 3, 1355.CrossRefGoogle Scholar
Zaveri, P., John, P. I. & Kaw, P. K. 1989 Proceedings of International Conference on Plasma Physics, New Delhi (ed. A. Sen & P. K. Kaw), p. 1161.Google Scholar