论文标题
磁轴附近恒星的磁井和墨迹稳定性
Magnetic well and Mercier stability of stellarators near the magnetic axis
论文作者
论文摘要
我们最近证明，通过与主要半径相比，通过距离磁轴的距离较小，可以有效地产生具有新古典传输的恒星形状。为了扩展这种新设计方法的效用，我们在这里评估了在同一扩展中的磁流失动力互换稳定性的度量。特别是，我们在任意形状的磁轴附近评估了磁井，Mercier的标准和电阻互换稳定性。与使用通量坐标膨胀的磁轴附近的互换稳定性的先前工作相反，在这里，我们使用磁通量坐标为自变量的反向扩展。在准对称的情况下，介绍了磁井和稳定性标准的表达式。分析结果显示与VMEC平衡代码的计算一致。最后，我们表明，在电阻模式的轴，格拉瑟，格林和约翰逊的稳定性标准附近，与Mercier的理想状况大致相吻合。
We have recently demonstrated that by expanding in small distance from the magnetic axis compared to the major radius, stellarator shapes with low neoclassical transport can be generated efficiently. To extend the utility of this new design approach, here we evaluate measures of magnetohydrodynamic interchange stability within the same expansion. In particular, we evaluate magnetic well, Mercier's criterion, and resistive interchange stability near a magnetic axis of arbitrary shape. In contrast to previous work on interchange stability near the magnetic axis, which used an expansion of the flux coordinates, here we use the inverse expansion in which the flux coordinates are the independent variables. Reduced expressions are presented for the magnetic well and stability criterion in the case of quasisymmetry. The analytic results are shown to agree with calculations from the VMEC equilibrium code. Finally, we show that near the axis, Glasser, Greene, & Johnson's stability criterion for resistive modes approximately coincides with Mercier's ideal condition.
