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Title: Exact axisymmetric Taylor states for shaped plasmas

We present a general construction for exact analytic Taylor states in axisymmetric toroidal geometries. In this construction, the Taylor equilibria are fully determined by specifying the aspect ratio, elongation, and triangularity of the desired plasma geometry. For equilibria with a magnetic X-point, the location of the X-point must also be specified. The flexibility and simplicity of these solutions make them useful for verifying the accuracy of numerical solvers and for theoretical studies of Taylor states in laboratory experiments.
Authors:
;  [1]
  1. Courant Institute of Mathematical Sciences, New York University, New York, New York 10012 (United States)
Publication Date:
OSTI Identifier:
22304245
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 6; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ACCURACY; ASPECT RATIO; AXIAL SYMMETRY; ELONGATION; EQUILIBRIUM; GEOMETRY; MATHEMATICAL SOLUTIONS; PLASMA