Strong "quantum" chaos in the global ballooning mode spectrum of three-dimensional plasmas.
Strong "quantum" chaos in the global ballooning mode spectrum of three-dimensional plasmas.
复制标题
三维等离子体的全局气球模式谱中存在强烈的“量子”混沌。
DOI：
10.1103/physrevlett.86.2321
复制
发表时间：
2000
影响因子：
8.6
通讯作者：
R. Ball
中科院分区：
文献类型：
--
作者：
R. Dewar;P. Cuthbert;R. Ball
强非轴对称环形系统中理想磁流体压驱动(气球)模的频谱很难数值分析，这是因为理想磁流体力学的奇异性是由于缺乏固有的尺度长度造成的。本文利用k空间截断将理想MHD正则化，使WKB气球形式的光线跟踪成为混沌哈密顿台球问题。由Weyl公式估计了用全局本征值编码解析环面局域气球模所需的最小环向傅里叶谱宽度。这种相空间体积估计方法被应用于两个星点的情况。
The spectrum of ideal magnetohydrodynamic (MHD) pressure-driven (ballooning) modes in strongly nonaxisymmetric toroidal systems is difficult to analyze numerically owing to the singular nature of ideal MHD caused by lack of an inherent scale length. In this paper, ideal MHD is regularized by using a k-space cutoff, making the ray tracing for the WKB ballooning formalism a chaotic Hamiltonian billiard problem. The minimum width of the toroidal Fourier spectrum needed for resolving toroidally localized ballooning modes with a global eigenvalue code is estimated from the Weyl formula. This phase-space-volume estimation method is applied to two stellarator cases.