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Title: Exact axisymmetric Taylor states for shaped plasmas

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.4881466· OSTI ID:22304245
 [1]
  1. Courant Institute of Mathematical Sciences, New York University, New York, New York 10012 (United States)

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.

OSTI ID:
22304245
Journal Information:
Physics of Plasmas, Vol. 21, Issue 6; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
Country of Publication:
United States
Language:
English