论文标题
通过近轴扩展解决了准对称平衡溶液过度确定的问题：I。广义力量平衡
Solving the problem of overdetermination of quasisymmetric equilbrium solutions by near-axis expansions: I. Generalised force balance
论文作者
论文摘要
众所周知，在磁平衡中构造甲状管对称磁场的过程和各向同性压力遭受了过度确定的问题。这导致人们普遍认为，全球准对称解决方案可能不存在。我们开发了一般的近轴扩展程序，该程序不依赖于以及各向同性压力的磁平衡假设。然后，我们证明在各向异性压力的平衡中，有可能避免过度确定的问题，并将功率系列解决方案执行高阶。这表明，与当前的信念相反，如果人们放宽了与各向同性压力的磁静态平衡的假设，则可能存在全球准对称场的存在。
It is well known that the process of construction of quasisymmetric magnetic fields in magnetostatic equilibrium with isotropic pressure suffers from the problem of overdetermination. This has led to the widespread belief that global quasisymmetric solutions are likely not to exist. We develop a general near-axis expansion procedure that does not rely on the assumption of magnetostatic equilibria with isotropic pressure. We then demonstrate that in equilibria with anisotropic pressure, it is possible to circumvent the problem of overdetermination and carry out the power-series solutions to higher order. This suggests, contrary to current belief, that the existence of globally quasisymmetric fields is likely if one relaxes the assumption of magnetostatic equilibria with isotropic pressure.
