发表机构
Google DeepMind; Department of Mechanical and Aerospace Engineering, University of California San Diego; University of Maryland, College Park（谷歌DeepMind; 加州大学圣地亚哥分校机械与航空航天工程系; 马里兰大学帕克学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过引入对称性破缺参数，推广了两族非轴对称理想磁流体力学平衡解，使其打破仿星器对称性，为仿星器平衡代码提供新基准。
AI 中文摘要
三维理想磁流体力学平衡方程 $\nabla \times \vec{B} \times \vec{B} = \nabla p$ 和 $\nabla \cdot \vec{B} = 0$ 的解析解为仿星器平衡代码提供了基准。Landreman [arXiv:2609.26742] 最近发现了两族非轴对称解，作为 Grad 猜想的反例，但两者都满足仿星器对称性。在此，我们通过在每个解中引入一个对称性破缺参数来推广这两族解，从而得到新的非轴对称解，这些解打破了仿星器对称性，并且当新引入的参数设为零时，会还原为仿星器对称解。
英文摘要
Analytical solutions to the three-dimensional ideal magnetohydrodynamic equilibrium equations $(\nabla \times \vec{B}) \times \vec{B} = \nabla p$ and $\nabla \cdot \vec{B} = 0$ provide benchmarks for stellarator equilibrium codes. Two families of non-axisymmetric solutions were recently discovered by Landreman [arXiv:2609.26742] as counterexamples to Grad's conjecture, but both satisfy stellarator symmetry. Here, we generalize both families by introducing a symmetry-breaking parameter into each of the solutions, resulting in new non-axisymmetric solutions that break stellarator symmetry and reduce to the stellarator symmetric solutions when the newly introduced parameter is set to zero.
