Kinetic Theories of Ultra-Low-Frequency Magnetic Pulsations in the Earth's Magnetosphere

在这项提议中，我们计划继续我们对与地球磁层中的超低频磁脉动相关的波和粒子动力学性质的理论研究。具体地说，我们建议研究漂移-阿尔芬-气球模式的以下几个方面：(I)自洽、各向异性、高B磁层等离子体稳定性的数值研究：(Ii)相关粒子通量调制的回转动力学分析；(Iii)高能环流离子与不稳定性之间的非线性波粒相互作用；以及(Iv)非线性模式耦合效应对不稳定性的影响。(I)和(Ii)因此涉及波浪激发机制的线性方面，这里的目的是通过与卫星观测进行比较，定性和定量地确定这些机制。(Iii)和(Iv)同时从饱和波幅、波谱和诱导粒子扩散两个方面考察了不稳定性的非线性后果。理论结果将与现有的观测结果进行比较。这项建议构成了博士论文项目的主要部分，因此，要求提供为期三年的资助。

In this proposal, we plan to continue our theoretical investigations on the wave and particle dynamical properties associated with ultra-low-frequency magnetic pulsations in the Earth's magnetosphere. Specifically, we propose to study the following aspects of the drift-Alfven-ballooning modes: (i) numerical investigations of the stability properties in self- consistent, anisotropic, high-B magnetospheric plasmas: (ii) gyrokinetic analyses of associated particle flux modulations; (iii) nonlinear wave-particle interactions between energetic ring-current ions and instabilities; and (iv) nonlinear mode- coupling effects on the instabilities. (i) and (ii) thus deal with the linear aspect of the wave excitation mechanism and the purpose here is, by comparing with satellite observations, to identify the mechanisms both qualitatively and quantitatively. (iii) and (iv) meanwhile examine the nonlinear consequences of the instabilities in terms of both the saturated wave amplitudes, spectra and induced particle diffusion. Theoretical results will be compared with available observations. This proposal constitutes a major portion of a Ph.D dissertation project and, hence, a three-year grant is requested.