拟对称的充要条件
Necessary and Sufficient Conditions for Quasisymmetry
摘要：
从第一性原理出发，导出了以约束方程形式表示的准对称磁场存在的充分必要条件。在没有任何关于等离子体的磁流体动力学（MHD）平衡的假设下，从单粒子拉格朗日量到首阶，构造了准对称性的条件。本文中提出的条件比Burby等人最近获得的条件限制更少。[arXiv：1912.06468]，可以促进正在进行的研究全局准对称MHD平衡的存在性的努力。它还表明，准对称意味着存在的通量表面，无论是否对应于一个MHD平衡场。
英文摘要：
A necessary and sufficient set of conditions for a quasisymmetric magnetic field in the form of constraint equations is derived from first principles. Without any assumption regarding the magnetohydrodynamic (MHD) equilibrium of the plasma, conditions for quasisymmetry are constructed starting from the single-particle Lagrangian to leading order. The conditions presented in the paper are less restrictive than the set recently obtained by Burby et al. [arXiv:1912.06468], and could facilitate ongoing efforts towards investigating the existence of global quasisymmetric MHD equilibria. It is also shown that quasisymmetry implies the existence of flux surfaces, regardless of whether the field corresponds to an MHD equilibrium.
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