论文标题
磁轴和交替的锯齿锯齿的分叉
Bifurcations of the magnetic axis and the alternating-hyperbolic sawtooth
论文作者
论文摘要
我们提出了一种锯齿模型，该模型解释了中心安全系数$ q_0 $的观察结果，该模型远低于1 $，这与当前模型无法调和，这些模型预测崩溃后重置为$ q_0 = 1 $。我们通过Lie组$ \ MATHRM {SL}（2，\ Mathbb {r}）$识别磁轴周围的磁场结构，并在$ q_0 = 2/3 $时找到过渡到交替的hyperbolic几何时。该过渡是由理想的MHD不稳定性驱动的，并导致轴附近的混乱磁场。
We present a sawtooth model that explains observations where the central safety factor, $q_0$, stays well below one, which is irreconcilable with current models that predict a reset to $q_0=1$ after the crash. We identify the structure of the field around the magnetic axis with elements of the Lie group $\mathrm{SL}(2,\mathbb{R})$ and find a transition to an alternating-hyperbolic geometry when $q_0=2/3$. This transition is driven by an ideal MHD instability and leads to a chaotic magnetic field near the axis.
