强磁场下电子相空间空穴横向不稳定性
Electron phase-space hole transverse instability at high magnetic field
摘要：
本文对具有无限大磁化强度的等离子体中初始平面电子空穴的静电不稳定性进行了解析处理。结果表明，有一个不稳定的模式，包括一个刚性位移的陷阱方向的空穴。它的低频由横向波数$k$产生的麦克斯韦应力和孔加速度产生的运动喷射力之间的力平衡的实部决定。非常低的增长率来自于通过颗粒喷射（其是不稳定的）与被捕获颗粒的共振响应（其是稳定的）之间的力的虚部中的微妙平衡。导出了复频率和$k$随孔深的近似普适标度。粒子在细胞模拟表明，缓慢增长的不稳定性，以前研究耦合孔波现象发生在预测的频率，但增长率2至4倍以上的分析预测。这种更高的速率可能是由于模拟中的数值相空间扩散导致的谐振稳定性降低而引起的。
英文摘要：
Analytic treatment is presented of the electrostatic instability of an initially planar electron hole in a plasma of effectively infinite particle magnetization. It is shown that there is an unstable mode consisting of a rigid shift of the hole in the trapping direction. Its low frequency is determined by the real part of the force balance between the Maxwell stress arising from the tranverse wavenumber $k$ and the kinematic jetting from the hole's acceleration. The very low growth rate arises from a delicate balance in the imaginary part of the force between the passing-particle jetting, which is destabilizing, and the resonant response of the trapped particles, which is stabilizing. Nearly universal scalings of the complex frequency and $k$ with hole depth are derived. Particle in cell simulations show that the slow-growing instabilities previously investigated as coupled hole-wave phenomena occur at the predicted frequency, but with growth rates 2 to 4 times greater than the analytic prediction. This higher rate may be caused by a reduced resonant stabilization because of numerical phase-space diffusion in the simulations.
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