Exact axisymmetric Taylor states for shaped plasmas

Antoine J. Cerfon, Michael O'Neil

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Article number064501
JournalPhysics of Plasmas
Issue number6
StatePublished - Jun 2014

ASJC Scopus subject areas

  • Condensed Matter Physics


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