Exact axisymmetric Taylor states for shaped plasmas

TL;DR

This paper introduces a method to construct exact analytic Taylor states in axisymmetric toroidal plasmas, allowing precise modeling of plasma shapes for experimental and computational validation.

Contribution

It provides a general, flexible construction of exact Taylor states based on specified plasma shape parameters, including for configurations with magnetic X-points.

Findings

Exact solutions for Taylor states in shaped plasmas.

Applicable to configurations with magnetic X-points.

Useful for validating numerical solvers and theoretical analysis.

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.