Drift Instabilities in General Magnetic Field Configurations
Drift Instabilities in General Magnetic Field Configurations
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DOI：
10.1063/1.1691954
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发表时间：
1968
影响因子：
4.6
通讯作者：
P. Rutherford;E. Frieman
中科院分区：
文献类型：
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作者：
P. Rutherford;E. Frieman
非均匀无碰撞等离子体中低频漂移（普遍）不稳定性的理论是为一般磁场配置，包括捕获粒子效应，而不是以前受到最多关注的平面几何。一种能量原理表明，在最小B镜配置中感兴趣的特殊平衡分布F（∈，μ）对于这些模式是绝对稳定的，只要<$F/<$∈ < 0以及<$F/<$μ的第二个条件。对于不具有这种特殊形式的平衡分布，特别是对于具有密度梯度的麦克斯韦分布，详细考虑了具有闭合极向场线的轴对称环形配置的情况。三个不稳定的漂移模式，长笛状模式，漂移气球模式本地的区域不利的曲率，和漂移通用模式。给出了稳定性判据和增长率。这些方程还描述了最近讨论的低频捕获粒子。
A theory of low‐frequency drift (universal) instabilities in a nonuniform collisionless plasma is developed for general magnetic field configurations including trapped particle effects, rather than the plane geometry which has previously received most attention. A type of energy principle shows that the special equilibrium distribution F(∈, μ), of interest in minimum‐B mirror configurations, is absolutely stable to these modes provided ∂F/∂∈ < 0 together with a second condition on ∂F/∂μ. For equilibrium distributions not of this special form, in particular for a Maxwell distribution with a density gradient, the case of axisymmetric toroidal configurations with closed poloidal field lines is considered in detail. Three unstable drift modes are found, a flute‐like mode, a drift‐ballooning mode local to the region of unfavorable curvature, and a drift‐universal mode. Stability criteria and growth rates for the modes are given. The equations also describe a recently discussed low‐frequency trapped‐particle in...