Plasma equilibrium in 3D magnetic confinement systems and soliton theory |
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Authors: | A A Skovoroda |
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Institution: | 1.Nuclear Fusion Institute,Russian Research Centre Kurchatov Institute,Moscow,Russia |
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Abstract: | Single-valued conformal flux (magnetic) coordinates can always be introduced on arbitrary toroidal magnetic surfaces. It is
shown how such coordinates can be obtained by transforming Boozer magnetic coordinates on the surfaces. The metrics is substantially
simplified and the coordinate grid is orthogonalized at the expense of a more complicated representation of the magnetic field
in conformal flux coordinates. This in turn makes it possible to introduce complex angular flux coordinates on any toroidal
magnetic surface and to develop efficient methods for a complex analysis of the geometry of equilibrium magnetic surfaces.
The complex analysis reveals how the plasma equilibrium problem is related to soliton theory. Magnetic surfaces of constant
mean curvature are considered to exemplify this relationship. |
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Keywords: | |
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