论文标题
部分可观测时空混沌系统的无模型预测
Existence of weakly quasisymmetric magnetic fields in asymmetric toroidal domains with non-tangential quasisymmetry
论文作者
论文摘要
准对称是一种特殊的对称性，可增强磁场捕获带电颗粒的能力。与经典（Tokamak）设计相比，准对称磁场可以允许实现具有较高性能的下一代融合反应器（恒星）。然而，由于管理方程的复杂性，这种磁性配置的存在缺乏数学证明。在这里，我们通过构造明确的例子来证明存在弱的准对称磁场。通过量身定制的磁场和托管环域的量身定制的参数化来实现该结果，这些磁场和托管域进行了优化以实现准对称。所获得的溶液在环形体积中保持，光滑，具有嵌套的通量表面，在连续的欧几里得异构体下不变，具有非变化的电流，表现出与环形边界不切向的准对称方向，并且在异位型磁甲义义动力学的框架内不符合环形边界。
A quasisymmetry is a special symmetry that enhances the ability of a magnetic field to trap charged particles. Quasisymmetric magnetic fields may allow the realization of next generation fusion reactors (stellarators) with superior performance when compared with classical (tokamak) designs. Nevertheless, the existence of such magnetic configurations lacks mathematical proof due to the complexity of the governing equations. Here, we prove the existence of weakly quasisymmetric magnetic fields by constructing explicit examples. This result is achieved by a tailored parametrization of both magnetic field and hosting toroidal domain, which are optimized to fulfill quasisymmetry. The obtained solutions hold in a toroidal volume, are smooth, possess nested flux surfaces, are not invariant under continuous Euclidean isometries, have a non-vanishing current, exhibit a direction of quasisymmetry that is not tangential to the toroidal boundary, and fit within the framework of anisotropic magnetohydrodynamics.
