Collaborative Research: Diffusive Transport of Relativistic Electrons in Earth's Magnetosphere

本计画将探讨三维扩散在地球辐射带中相对论性电子的扩散与输运中所扮演的角色。 研究的主要目标有三个：（1）利用相空间拉格朗日方法导出一个描述扩散过程的扩散张量，它允许三个绝热不变量都被打破。 该扩散张量将包括VLF（甚低频）波粒共振以及反弹和漂移频率（ELF和ULF）波粒共振的影响。 (2)将开发一种新的计算机代码来求解三维、随时间变化的相空间扩散方程。 这个新的代码将能够纳入各种扩散张量元素，包括任务1中提到的新导出的张量。 (3)新开发的代码将使用各种传输系数来评估在不同条件下哪些传输过程占主导地位。 这将包括将模型结果与其他辐射带模拟和航天器数据进行比较。 该项目将有一名博士研究生参与，其结果将有助于空间气象的临近预报和预报。

This project will examine the role of three-dimensional diffusion in the energization and transport of relativistic electrons in the earth's radiation belts. There are three primary objectives of the research: (1) A diffusion tensor which will describe the diffusion process and allows all three of the adiabatic invariants to be broken will be derived using an analytical phase-space Lagrangian approach. This diffusion tensor will include the effects of VLF (Very Low Frequency) wave-particle resonances as well as bounce and drift frequency (ELF and ULF) wave-particle resonances. (2) A new computer code will be developed to solve the 3-D, time-dependent phase-space diffusion equation. This new code will be able to incorporate a variety of diffusion tensor elements including the newly derived tensors mentioned in task 1. (3) The newly developed code will be run using a variety of transport coefficients to evaluate which transport processes dominate under different conditions. This will include comparison of the model results with other radiation belt simulations and with spacecraft data. The project will involve a PhD graduate student and the results will be useful in space weather nowcasting and forecasting.