论文标题
准对称的必要条件
Necessary and Sufficient Conditions for Quasisymmetry
论文作者
论文摘要
以约束方程式形式的准对称磁场的必要和充分条件是从第一原理得出的。没有关于等离子体的磁性水力动力学（MHD）平衡的任何假设，从单粒子拉格朗日到领先顺序，构建了准对称条件。本文中介绍的条件的限制性不及Burby等人最近获得的集合。 [ARXIV：1912.06468]，并可以促进正在进行的努力研究全球准对称MHD Eqeilibria的存在。还表明，准对称意味着磁通表面的存在，无论该场是否与MHD平衡相对应。
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.
