Collaborative Research: Intermittent Turbulence Study of Space Plasmas Using ROMA and DSRG

该项目将使用一种称为秩序多重分形分析的新分析方法，研究磁层各区域等离子体波动的性质。目的是了解空间等离子体的非线性随机行为，特别是间歇性湍流现象。在分析分析的同时，该项目将使用称为直接模拟重整化群（DSRG）的数值和理论建模的组合，这是一种适用于多重分形交叉行为定量研究的动力学不变理论。理论和数值分析的结果将与卫星飞行任务获得的观测结果进行比较。该项目将进一步发展的分析和数值技术不仅有可能提供地球磁层等离子体现象的变革性观点，而且有可能广泛用于分析等离子体物理学以外的各种现象。

The project will examine the nature of plasma fluctuations in various regions of the magnetosphere using a new analytical method called rank-ordered multifractal analysis (ROMA). The goal is to understand the nonlinear stochastic behavior of space plasmas and in particular the phenomenon known as intermittent turbulence. In parallel with the analytical analysis, the project will use a combination of numerical and theoretical modeling called the Direct Simulation Renormalization Group (DSRG), which is a dynamical invariant theory appropriate for the quantitative study of crossover behavior of multifractals. Results from the theoretical and numerical analyses will be compared with observations obtained from satellite missions. The analytical and numerical techniques that will be further developed by this project have the potential to not only provide a transformative view of plasma phenomena in Earth's magnetosphere, but have the potential to be widely used in the analysis of a wide array of phenomena beyond plasma physics.