Solving the problem of overdetermination of quasisymmetric equilibrium solutions by near-axis expansions. I. Generalized force balance
Solving the problem of overdetermination of quasisymmetric equilibrium solutions by near-axis expansions. I. Generalized force balance
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DOI：
10.1063/5.0027574
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发表时间：
2021-01-01
影响因子：
2.2
通讯作者：
Bhattacharjee, A.
中科院分区：
文献类型：
--
作者：
Rodriguez, E.;Bhattacharjee, A.
众所周知，在具有各向同性压力的静磁平衡条件下构造准对称磁场的过程中存在超定问题。这导致了人们普遍认为，全球准对称解可能不存在。我们发展了一个一般的近轴展开程序，它不依赖于各向同性压力下的静磁平衡的假设。然后，我们证明了在压力各向异性的平衡点中，有可能绕过超定问题，并将幂级数解进行到更高阶。这表明，与目前的看法相反，如果放松各向同性压力下静磁平衡的假设，全球准对称场的存在是可能的。
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.