漂移相空间的结构及其与Rayleigh-Kuo带状流稳定性判据的关系
On the structure of the drifton phase space and its relation to the Rayleigh--Kuo criterion of the zonal-flow stability
摘要：
本文用推广的长谷川-三马无碰撞等离子体模型研究了纬向流存在下漂移子（漂移波量子）的相空间。该相空间通过对Parker [J. Plasma Phys. $\textbf{82}$，95820602（2016）]和Ruiz $\textit{et al.}$ [Phys. Plasmas $\textbf{23}$，122304（2016）]最近提出的漂移射线方程的校正而变得复杂。与传统的漂移子动力学的几何光学（GO）模型相反，漂移子不仅可以被捕获或通过，而且可以在空间上积累，同时经历动量的无限增长。特别是，它被发现，瑞利-郭阈值已知从地球物理学对应的制度时，这种“失控”的轨迹是唯一可能的。一方面，这种分析有助于可视化的发展的纬向不稳定，特别是它的非线性阶段，这是研究在这里分析和通过波动力学模拟。另一方面，GO理论预测，纬向流以上的瑞利-郭阈值只能增长，因此，恶化的激烈纬向流不能被捕获在GO模型。特别是，这意味着所谓的三级不稳定性的强烈纬向流不能充分描述内的准线性波动力学方程，相反，一些以前的研究。
英文摘要：
The phase space of driftons (drift-wave quanta) is studied within the generalized Hasegawa--Mima collisionless-plasma model in the presence of zonal flows. This phase space is made intricate by the corrections to the drifton ray equations that were recently proposed by Parker [J. Plasma Phys. $\textbf{82}$, 95820602 (2016)] and Ruiz $\textit{et al.}$ [Phys. Plasmas $\textbf{23}$, 122304 (2016)]. Contrary to the traditional geometrical-optics (GO) model of the drifton dynamics, it is found that driftons can be not only trapped or passing, but they can also accumulate spatially while experiencing indefinite growth of their momenta. In particular, it is found that the Rayleigh--Kuo threshold known from geophysics corresponds to the regime when such "runaway" trajectories are the only ones possible. On one hand, this analysis helps visualize the development of the zonostrophic instability, particularly its nonlinear stage, which is studied here both analytically and through wave-kinetic simulations. On the other hand, the GO theory predicts that zonal flows above the Rayleigh--Kuo threshold can only grow; hence, the deterioration of intense zonal flows cannot be captured within a GO model. In particular, this means that the so-called tertiary instability of intense zonal flows cannot be adequately described within the quasilinear wave kinetic equation, contrary to some previous studies.
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