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Motion of a charged particle in superposed Heliotron and biconical cusp fields

Srivastava, MP and Bhat, PK (1969) Motion of a charged particle in superposed Heliotron and biconical cusp fields. In: Journal of Plasma Physics, 3 (2). pp. 255-267.

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We have studied the behaviour of a charged particle in an axially symmetric magnetic field having a neutral point, so as to find a possibility of confining a charged particle in a thermonuclear device. In order to study the motion we have reduced a three-dimensional motion to a two-dimensional one by introducing a fictitious potential. Following Schmidt we have classified the motion, as an ‘off-axis motion’ and ‘encircling motion’ depending on the behaviour of this potential. We see that the particle performs a hybrid type of motion in the negative z-axis, i.e. at some instant it is in ‘off-axis motion’ while at another instant it is in ‘encircling motion’. We have also solved the equation of motion numerically and the graphs of the particle trajectory verify our analysis. We find that in most of the cases the particle is contained. The magnetic moment is found to be moderately adiabatic.

Item Type: Journal Article
Publication: Journal of Plasma Physics
Publisher: Cambridge University Press
Additional Information: Copyright of this article belongs to Cambridge University Press.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 19 Aug 2011 10:59
Last Modified: 19 Aug 2011 10:59
URI: http://eprints.iisc.ac.in/id/eprint/39841

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