啁啾波的相空间水囊理论描述
Theoretical description of chirping waves using phase-space waterbags
摘要：
快粒子的引导中心动力学可以改变高能粒子驱动模式的啁啾频率的行为。本文讨论了早期的捕获/传递轨迹模型[H. Hezaveh et al 2017 Nucl. Fusion 57 126010]已经扩展到波捕获区域可以扩展并捕获周围粒子的区域。这种扩展允许研究波向上和向下的频率啁啾在整个范围内的高能粒子轨道。在绝热近似下，高能粒子的相空间分析的拉格朗日轮廓的方法，使用相空间水袋离散的岛屿。为了解决在快速形成的相空间岛的动态，并找到一个适当的初始化系统，全尺寸的建模实施使用凸尾（BOT）代码。除了调查的啁啾波深化潜力在一个单一的共振的演变，我们选择特定的节距角范围内，更高的共振可以有一个相对相当大的贡献的波粒相互作用。因此，该模型也解决了在双共振的情况下，我们报告的显着修改的啁啾波的行为，由于$2^{\text{nd}}$共振。本文提出的模型给出了一个全面的一维范式的长距离频率啁啾信号的实验观察向上和向下啁啾和多共振。
英文摘要：
The guiding centre dynamics of fast particles can alter the behaviour of energetic particle driven modes with chirping frequencies. In this paper, the applicability of an earlier trapped/passing locus model [H. Hezaveh et al 2017 Nucl. Fusion 57 126010] has been extended to regimes where the wave trapping region can expand and trap ambient particles. This extension allows the study of waves with up-ward and down-ward frequency chirping across the full range of energetic particle orbits. Under the adiabatic approximation, the phase-space of energetic particles is analysed by a Lagrangian contour approach where the islands are discretised using phase-space waterbags. In order to resolve the dynamics during the fast formation of phase-space islands and find an appropriate initialisation for the system, full-scale modelling is implemented using the bump-on-tail (BOT) code. In addition to investigating the evolution of chirping waves with deepening potentials in a single resonance, we choose specific pitch-angle ranges in which higher resonances can have a relatively considerable contribution to the wave-particle interaction. Hence, the model is also solved in a double-resonance scenario where we report on the significant modifications to the behaviour of the chirping waves due to the $2^{\text{nd}}$ resonance. The model presented in this paper gives a comprehensive 1D paradigm of long range frequency chirping signals observed in experiments with both up-ward and down-ward chirping and multiple resonances.
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