论文标题

多维迭代过滤:一种研究数值模拟中血浆湍流的新方法

Multidimensional Iterative Filtering: a new approach for investigating plasma turbulence in numerical simulations

论文作者

Papini, Emanuele, Cicone, Antonio, Piersanti, Mirko, Franci, Luca, Hellinger, Petr, Landi, Simone, Verdini, Andrea

论文摘要

湍流空间和天体物理等离子体表现出复杂的动力学,涉及在不同的时间和空间尺度上进行非线性耦合。越来越多的证据表明,冲动事件(例如磁重新连接不稳定性)会导致能量耗散的空间局部增强,从而在小尺度上加快了能量转移的速度。捕捉如此多样化的动态是具有挑战性的。在这里,我们采用了多维迭代过滤(MIF)方法,这是一种用于分析非组织多维信号的新技术。与其他传统方法(例如,基于傅立叶或小波分解)不同,MIF不需要以前对信号功能形式的任何假设。使用MIF,我们对Hall-Magnetohydrodnanic(HMHD)和杂种粒子中的杂种水力动力学(HPIC)数值模拟进行了多尺度分析。结果评估了MIF在空间识别和分离等离子体动力学的不同量表(MHD惯性范围,子离子动力学和耗散量表)的能力。此外,MIF分解允许检测局部电流结构,并表征其对湍流的统计和光谱特性的贡献。总体而言,MIF是研究湍流等离子体环境的一种非常有前途的技术。

Turbulent space and astrophysical plasmas exhibit a complex dynamics, which involves nonlinear coupling across different temporal and spatial scales. There is growing evidence that impulsive events, such as magnetic reconnection instabilities, lead to a spatially localized enhancement of energy dissipation, thus speeding up the energy transfer at small scales. Capturing such a diverse dynamics is challenging. Here, we employ the Multidimensional Iterative Filtering (MIF) method, a novel technique for the analysis of nonstationary multidimensional signals. Unlike other traditional methods (e.g., based on Fourier or wavelet decomposition), MIF does not require any previous assumption on the functional form of the signal to be identified. Using MIF, we carry out a multiscale analysis of Hall-magnetohydrodynamic (HMHD) and hybrid particle-in-cell (HPIC) numerical simulations of decaying plasma turbulence. The results assess the ability of MIF to spatially identify and separate the different scales (the MHD inertial range, the sub-ion kinetic, and the dissipation scales) of the plasma dynamics. Furthermore, MIF decomposition allows to detect localized current structures and to characterize their contribution to the statistical and spectral properties of turbulence. Overall, MIF arises as a very promising technique for the study of turbulent plasma environments.

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