Trapped electron instability in tokamaks: Analytic solution of the two‐dimensional eigenvalue problem
Trapped electron instability in tokamaks: Analytic solution of the two‐dimensional eigenvalue problem
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DOI：
10.1063/1.862380
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发表时间：
1978-08
影响因子：
4.6
通讯作者：
P. Catto;K. Tsang
中科院分区：
文献类型：
--
作者：
P. Catto;K. Tsang
采用微扰技术和更精确的匹配渐近展开方法，对托卡马克中囚禁电子不稳定性的二维本征值方程进行了解析求解。结果表明，这种重要的物理效应是由于磁场的节距与模式的节距不同而引起的电子俘获项的径向局域化。这种局部化导致了色散关系的一种全新形式，并且不会阻碍磁切变稳定。结果表明，相邻有理曲面的耦合最多只增加π/2的增长率。
The two‐dimensional eigenvalue equation for the trapped electron instability in tokamaks is solved analytically by both a perturbation technique and a more exact method of matched asymptotic expansions. The important physical effect is shown to be the radial localization of the trapped electron term caused by the difference between the pitch of the magnetic field and that of the mode. This localization results in a completely new form for the dispersion relation and does not impede magnetic shear stabilization. Coupling of neighboring rational surfaces is shown to result in an increase of only π/2 (at most) in the growth rate.