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Using Q-Statistics to Study Pulsating Auroras

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Abstract

Tsallis nonextensive statistical mechanics (or q-statistics) has been used for the first time to study pulsating auroras, which are regularly observed in the auroral ionosphere during geomagnetic disturbances. For systems in which long-range interactions, such as ionized gas or plasma, take place and whose dynamics are determined primarily by long-range electromagnetic forces, it can be expected that nonadditive and nonextensive thermostatistic principles can characterize their macroscopic behavior. In this paper, we argued that pulsating auroras exhibit nonextensive properties and can be described, among other things, by q-statistics. We have also demonstrated that the non-extensive parameter q correlates well with the flatness index and with the scaling index, which indicates the applicability of this approach for auroral glow. Thus, q-statistics can be used to analyze phenomena in the high-latitude region of the Earth.

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ACKNOWLEDGMENTS

Optical data from the all-sky camera used in this study are available on the website http://aurora.pgia.ru/. Data on geomagnetic activity indices, as well as OMNI data, were taken from the SuperMAG website (http://supermag.jhuapl.edu/info).

Funding

A.A. Chernyshov expresses gratitude for the support of the Theoretical Physics and Mathematics Advancement Foundation “BASIS” Work by B.V. Kozelov for processing primary optical observation data and studying the structure of pulsating auroras was supported by the Russian Science Foundation (project no. 22-12-20 017 “Spatio-temporal Structures in the near-Earth Space of the Arctic: from Auroras through the Features of Plasma Self-Organization to the Radio Waves Propagation”). A comprehensive analysis of the geophysical situation during the considered substorm and a comparison of various parameters characterizing auroras were carried out by A.A. Chernyshov and M.M. Mogilevsky within the state task of the Space Research Institute of the Russian Academy of Sciences (topic “Plasma,” state registration no. 122042700118-4).

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  1. Space Research Institute, Russian Academy of Sciences, 117997, Moscow, Russia

    A. A. Chernyshov & M. M. Mogilevsky

  2. Polar Geophysical Institute, Russian Academy of Science, 184209, Apatity, Murmansk oblast, Russia

    B. V. Kozelov

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  1. A. A. Chernyshov
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Chernyshov, A.A., Kozelov, B.V. & Mogilevsky, M.M. Using Q-Statistics to Study Pulsating Auroras. Geomagn. Aeron. 64, 49–60 (2024). https://doi.org/10.1134/S0016793223600789

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