论文标题
由共振波粒子相互作用驱动的长期动力学：从哈密顿共振理论到相空间映射
Long-term dynamics driven by resonant wave-particle interactions: from Hamiltonian resonance theory to phase space mapping
论文作者
论文摘要
在这项研究中，我们考虑了用于构建具有非线性谐振相互作用的系统的Hamiltonian方法，包括相捕获和相束效应。我们为单个谐振轨迹分析得出基本方程，然后将它们推广到能量/音调角空间中的地图中。这种方法的主要进步是考虑许多共振的影响并模拟长期范围内共振粒子合奏的演变。出于说明目的，我们考虑使用具有共振相对论电子和现场对准的惠斯勒模式波的系统。仿真结果表明，谐振区域内的电子相空间密度随着梯度的降低而扁平。这种进化比准线性理论的预测快得多。我们讨论了所提出的方法的进一步应用以及其概括的可能方法。
In this study we consider the Hamiltonian approach for the construction of a map for a system with nonlinear resonant interaction, including phase trapping and phase bunching effects. We derive basic equations for a single resonant trajectory analysis and then generalize them into the map in the energy/pitch-angle space. The main advances of this approach are the possibility to consider effects of many resonances and to simulate the evolution of the resonant particle ensemble on long time ranges. For illustrative purposes we consider the system with resonant relativistic electrons and field-aligned whistler-mode waves. The simulation results show that the electron phase space density within the resonant region is flattened with reduction of gradients. This evolution is much faster than the predictions of quasi-linear theory. We discuss further applications of the proposed approach and possible ways for its generalization.
