成形等离子体的精确轴对称泰勒态
Exact axisymmetric Taylor states for shaped plasmas
摘要：
本文给出了轴对称环形几何中精确解析泰勒态的一般构造。在这种构造中，泰勒平衡完全通过指定所需等离子体几何形状的纵横比、伸长率和三角形性来确定。对于具有磁性X点的平衡，还必须指定X点的位置。这些解决方案的灵活性和简单性，使他们有用的数值求解器的精度验证和泰勒态在实验室实验的理论研究。
英文摘要：
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.
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