It is well-known that the auroral region of the magnetosphere–ionosphere interaction is an open, nonlinear dissipative system far from the equilibrium state. It is in this region that auroras are regularly observed, demonstrating not only a wide variety of dynamic forms but also a wide range of temporal and spatial scales. Due to the memory effects and fractal properties of auroral plasma, as well as strong correlations between its individual parts, the dynamics of the high-latitude system are primarily determined by long-range electromagnetic forces. Therefore, it is expected that non-additive and non-extensive thermodynamic principles may characterize their macroscopic behavior. In the presented study, it is shown that pulsating auroras exhibit non-extensive properties and can be described by q-statistics. The correlation of the parameter with traditional indicators of nonlinear dynamics, such as the flatness coefficient, standard deviation, and scaling index, has been investigated. Small-scale changes are superimposed on large-scale processes characterized by a low correlation dimension, and this leads to an increase in the correlation dimension during geomagnetic activity, which approximately coincides with increased values of . It is concluded that the q-statistics (Tsallis distribution) can be used to analyze optical phenomena in the auroral region.

中文翻译：

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非广泛（Tsallis）q 统计和极光

众所周知，磁层-电离层相互作用的极光区是一个远离平衡状态的开放、非线性耗散系统。正是在这个地区，人们经常观察到极光，不仅表现出多种多样的动态形式，而且表现出广泛的时间和空间尺度。由于极光等离子体的记忆效应和分形特性，以及其各个部分之间的强相关性，高纬度系统的动力学主要由远程电磁力决定。因此，预计非相加和非广延的热力学原理可以表征它们的宏观行为。在本研究中，表明脉动极光表现出非广泛的特性，可以通过 q 统计量来描述。研究了该参数与传统非线性动力学指标（例如平坦系数、标准差和标度指数）的相关性。小尺度的变化叠加在以低相关维数为特征的大规模过程上，这导致地磁活动期间相关维数的增加，这与 的值的增加大致一致。结论是q统计量（Tsallis分布）可用于分析极光区域的光学现象。