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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
Affiliation:
Institute for Plasma Research, Bhat, Gandhinagar 382424, India
K. Avinash
Affiliation:
Institute for Plasma Research, Bhat, Gandhinagar 382424, India

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
Copyright
Copyright © Cambridge University Press 1992

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