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A catastrophe-theory study of a two-chamber model for a tokamak scrape-off and divertor

Published online by Cambridge University Press:  13 March 2009

Alkesh Punjabi
Alkesh Punjabi
Affiliation:
Department of Mathematics, Hampton University, Hampton, Virginia 23668, U.S.A.
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Abstract

The two-chamber model (TCM) of Singer and Langer is employed to study the plasma transport in the scrape-off and divertor regions of a tokamak. Collisiondominated transport along the field lines is considered, with a. geometric-mean flux-limited expression for parallel electron heat conduction. An analytic method for the catastrophe-theory study of the TCM is developed. Maxwell convention for the catastrophes is adopted. Catastrophes occur when the energy flux entering the divertor chamber from the main plasma scrape-off, the recycling coefficient and the ratio of electron temperatures in the scape-off to that in the divertor exceed some threshold values. It is seen that the behaviour of the plasma during these catastrophes is in qualitative agreement with the experimentally observed features of the plasma during the H-mode transition.

Type
Research Article
Information
Journal of Plasma Physics , Volume 42 , Issue 1 , August 1989 , pp. 59 - 74
Copyright
Copyright © Cambridge University Press 1989

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