AI 中文总结
本文分析了具有声量级等离子体旋转的轴对称磁镜装置的宏观理想-MHD稳定性，推导了本征模方程，发现轴向足够短的等离子体对m=1、m=2模稳定，临界轴向长度随旋转变化，且磁轴外旋转对稳定性影响更强。
AI 中文摘要
本文通过将等离子体平衡近似为具有人工重力的旋转θ箍缩，分析了具有声量级等离子体旋转的轴对称磁镜装置的宏观理想磁流体动力学（ideal-MHD）稳定性。推导了本征模方程，该方程在任意等离子体角向分布的情况下，控制平衡对小扰动的稳定性。研究了m=1和m=2模的稳定性，发现只要等离子体在轴向方向足够短，就对这两种模稳定。装置的临界轴向长度（低于该长度时模被稳定）先随等离子体旋转增加而减小，在旋转大致达到声速时达到最小值，之后随等离子体旋转增加而增大。研究还发现，磁轴外的等离子体旋转值对模稳定性的影响显著强于磁轴处的旋转值。
英文摘要
The macroscopic ideal-MHD stability of an axisymmetric mirror device with sonic levels of plasma rotation is analyzed by approximating the plasma equilibrium as a rotating theta pinch possessing an artificial gravity. An eigenmode equation is derived that governs the stability of the equilibrium to small perturbations in the case of an arbitrary plasma angular velocity profile. The stability of the m=1 and m=2 modes is investigated. The plasma is found to be stable to these two modes provided that it is sufficiently short in the axial direction. The critical axial length of the device below which the modes are stabilized first decreases with increasing plasma rotation, attains a minimum value when the rotation is roughly sonic, and then increases with increasing plasma rotation. The value of the plasma rotation off the magnetic axis is found to have a significantly stronger effect on the stability of the modes than the value on the magnetic axis.
