论文标题

通过近轴扩展解决了准对称溶液过度确定的问题。 ii。圆形轴恒星

Solving the problem of overdetermination of quasisymmetric equilbrium solutions by near-axis expansions. II. Circular axis stellarators

论文作者

Rodriguez, Eduardo, Bhattacharjee, Amitava

论文摘要

我们将近轴扩展方法应用于具有各向异性压力的准对称磁场(在伴侣纸中开发,第一部分[E. Rodriguez,A。Bhattacharjee,Arxiv:2008.04715(2020)])以构建数值溶液到圆形Axis Stellarators。在距轴距离的距离内发现该解决方案是二阶的,在标准的Garren-Boozer结构中不可能[D. A. Garren和A. H. Boozer,流体物理B:血浆物理学,2822(1991)],它假设具有各向同性压力的磁静态平衡。在零各向异性​​的极限下,可以选择系数的子集以避免过度确定问题。

We apply the near-axis expansion method for quasisymmetric magnetic fields with anisotropic pressure (developed in the companion paper, Part I [E. Rodriguez, A. Bhattacharjee, arXiv:2008.04715 (2020)]) to construct numerical solutions to circular axis stellarators. The solutions are found to second order in the distance from the axis, not possible in the standard Garren-Boozer construction [D. A. Garren and A. H. Boozer, Physics of Fluids B: Plasma Physics, 2822 (1991)], which assumes magnetostatic equilibria with isotropic pressure. In the limit of zero anisotropy, it is shown that a subset of coefficients can be chosen to avoid the overdetermination problem.

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