Exact axisymmetric Taylor states for shaped plasmas
arXiv:1406.0481 · doi:10.1063/1.4881466
Abstract
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.
5 pages, 3 figures, submitted to Physics of Plasmas