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The simple map for a single-null divertor tokamak

Published online by Cambridge University Press:  13 March 2009

Alkes Punjabi ,
Arun Verma  and
Allen Boozer
Alkes Punjabi
Affiliation:
Center for Fusion Research and Training Hampton University, Hampton, Virginia 23668, USA
Arun Verma
Affiliation:
Center for Fusion Research and Training Hampton University, Hampton, Virginia 23668, USA
Allen Boozer
Affiliation:
Center for Fusion Research and Training Hampton University, Hampton, Virginia 23668, USA
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Abstract

We present the simple map for a single-null divertor tokamak. The simple map is an area-preserving map based on the idea that magnetic field lines are a single-degree- of-freedom time-dependent Hamiltonian system, and that the basic features of such systems near the X-point are generic. We obtain the properties of this map and the resulting footprints of field lines on the divertor plate. These include the width of the stochastic layer, the edge safety factor, the area of the footprint and the amount of magnetic flux diverted. We give the safety factor profile, the average and median values of strike angles, lengths and the Liapunov exponents. We describe how the effects of magnetic perturbations can be included in the simple map. We show how the map can be applied to the problem of the determination of heat flux on the divertor plate in tokamaks.

Type
Research Article
Information
Journal of Plasma Physics , Volume 56 , Issue 3: Special Issue: Honour of David Montgomery , December 1996 , pp. 569 - 603
Copyright
Copyright © Cambridge University Press 1996

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References

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