论文标题

部分可观测时空混沌系统的无模型预测

Three-dimensional Magnetic and Thermodynamic Structures of Solar Microflares

论文作者

Li, Z. F., Cheng, X., Chen, F., Chen, J., Ding, M. D.

论文摘要

储层计算是预测湍流的有力工具,其简单的架构具有处理大型系统的计算效率。然而,其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间,然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用,该系统模拟了湍流的若干特征。我们表明,使用径向基函数作为非线性投影器,即使只有部分观测并且不知道控制方程,也能稳健地捕捉复杂的系统非线性。最后,我们表明,当测量稀疏、不完整且带有噪声,甚至控制方程变得不准确时,我们的网络仍然可以产生相当准确的预测,从而为实际湍流系统的无模型预测铺平了道路。

Microflares, one of small-scale solar activities, are believed to be caused by magnetic reconnection. Nevertheless, their three-dimensional (3D) magnetic structures, thermodynamic structures, and physical links to the reconnection have been unclear. In this Letter, based on high-resolution 3D radiative magnetohydrodynamic simulation of the quiet Sun spanning from the upper convection zone to the corona, we investigate 3D magnetic and thermodynamic structures of three homologous microflares. It is found that they originate from localized hot plasma embedded in the chromospheric environment at the height of 2--10 Mm above the photosphere and last for 3--10 minutes with released magnetic energy in the range of $10^{27}-10^{28}$ erg. The heated plasma is almost co-spatial with the regions where the heating rate per particle is maximal. The 3D velocity field reveals a pair of converging flows with velocities of tens of km s$^{-1}$ toward and outflows with velocities of about 100 km s$^{-1}$ moving away from the hot plasma. These features support that magnetic reconnection plays a critical role in heating the localized chromospheric plasma to coronal temperature, giving rise to observed microflares. The magnetic topology analysis further discloses that the reconnection region is located near quasi-separators where both current density and squashing factors are maximal although the specific topology may vary from tether-cutting to fan-spine-like structure.

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