April 15-17

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Author: Wrick Sengupta
Requested Type: Poster
Submitted: 2019-02-22 12:18:40

Co-authors: H. Weitzner

Contact Info:
Courant Institute of Mathematical Sciences
251 Mercer St
New York, NY   10012
US

Abstract Text:
Analyticity of flux surfaces and magnetic fields is often assumed to constrain the form of the magnetic fields in the vicinity of the magnetic axis. However, careful analysis of the expansions of MHD equilibrium near the magnetic axis (Weitzner, H. Physics of Plasmas 23.6 (2016): 062512) has shown that near a planar circular magnetic axis, such as that of a tokamak, non-analytic behavior of the flux surfaces can occur. The appearance of certain logarithmic terms in the distance from the magnetic axis gives rise to this non-analytic behavior. The flux surface shapes and the magnetic field components are still continuous and differentiable everywhere including the magnetic axis, but loose higher derivatives at the magnetic axis in the presence of the logarithmic terms. We analyze this behavior in detail and extend previous work to include a general closed magnetic axis with arbitrary curvature and torsion profiles.


This work was supported by the U.S.Department of Energy Grant No. DE-FG02-86ER53223.

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