Mathematical modeling of the Parker’s instability development of large-scale vibrations of magnetic fields in the sun convective zone
Background and Objectives: The physical mechanism of the generation of a steady wave flow at the photospheric level is studied, which ensures anomalous heating of the solar atmosphere at various stages of the solar activity cycle. Background and Objectives: We study the conditions of stability loss...
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Saratov State University
2021-05-01
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Series: | Известия Саратовского университета. Новая серия Серия: Физика |
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Online Access: | https://fizika.sgu.ru/sites/fizika.sgu.ru/files/text-pdf/2021/05/fizika_2021_2-stranicy-5-14.pdf |
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author | Stepanov, Evgeny Alexandrovich Mayorov, Alexandr Olegovich Romanov, Konstantin Valeryevich Romanov, Dmitry Valeryevich Romanov, Valery Alexandrovich |
author_facet | Stepanov, Evgeny Alexandrovich Mayorov, Alexandr Olegovich Romanov, Konstantin Valeryevich Romanov, Dmitry Valeryevich Romanov, Valery Alexandrovich |
author_sort | Stepanov, Evgeny Alexandrovich |
collection | DOAJ |
description | Background and Objectives: The physical mechanism of the generation of a steady wave flow at the photospheric level is studied, which ensures anomalous heating of the solar atmosphere at various stages of the solar activity cycle. Background and Objectives: We study the conditions of stability loss for slow modes of oscillation at various depths of the convective zone and the development of Parker’s instability, which leads to the ejection of magnetic fields into the atmosphere of the Sun. Materials and Methods: Based on the conservative difference scheme, an algorithm for calculating the dynamics of a thin magnetic tube when moving in the convective zone and the solar atmosphere is presented. The equilibrium conditions of the position of the magnetic tube at various depths of the convective zone are determined. The types of linear oscillations of the tube near the equilibrium position were determined: fast (Alfven) and slow (varicose) waves. Results: The physical mechanism for generating weak shock waves at the photospheric level by emerging magnetic fields at the nonlinear stage of development (saturation) of Parker’s instability is determined. Conclusion: The results allow further detailed analysis of wave flow generation in the lower layers of the Sun’s atmosphere at various stages of the cycle activity. |
first_indexed | 2024-12-19T03:20:50Z |
format | Article |
id | doaj.art-973bf514e4fb44d1a682a29170717f57 |
institution | Directory Open Access Journal |
issn | 1817-3020 2542-193X |
language | English |
last_indexed | 2024-12-19T03:20:50Z |
publishDate | 2021-05-01 |
publisher | Saratov State University |
record_format | Article |
series | Известия Саратовского университета. Новая серия Серия: Физика |
spelling | doaj.art-973bf514e4fb44d1a682a29170717f572022-12-21T20:37:46ZengSaratov State UniversityИзвестия Саратовского университета. Новая серия Серия: Физика1817-30202542-193X2021-05-0121210611510.18500/1817-3020-2021-21-2-106-115Mathematical modeling of the Parker’s instability development of large-scale vibrations of magnetic fields in the sun convective zoneStepanov, Evgeny Alexandrovich0Mayorov, Alexandr Olegovich1Romanov, Konstantin Valeryevich2Romanov, Dmitry Valeryevich3Romanov, Valery Alexandrovich4Saratov State University, 410012, Russia, Saratov, Astrakhanskaya street, 83Saratov State University, 410012, Russia, Saratov, Astrakhanskaya street, 83Krasnoyarsk State Pedagogical University named after V. P. Astafyev, 89, Ada Lebedeva St., Krasnoyarsk, 660049, RussiaKrasnoyarsk State Pedagogical University named after V. P. Astafyev, 89, Ada Lebedeva St., Krasnoyarsk, 660049, RussiaSaratov State University, 410012, Russia, Saratov, Astrakhanskaya street, 83Background and Objectives: The physical mechanism of the generation of a steady wave flow at the photospheric level is studied, which ensures anomalous heating of the solar atmosphere at various stages of the solar activity cycle. Background and Objectives: We study the conditions of stability loss for slow modes of oscillation at various depths of the convective zone and the development of Parker’s instability, which leads to the ejection of magnetic fields into the atmosphere of the Sun. Materials and Methods: Based on the conservative difference scheme, an algorithm for calculating the dynamics of a thin magnetic tube when moving in the convective zone and the solar atmosphere is presented. The equilibrium conditions of the position of the magnetic tube at various depths of the convective zone are determined. The types of linear oscillations of the tube near the equilibrium position were determined: fast (Alfven) and slow (varicose) waves. Results: The physical mechanism for generating weak shock waves at the photospheric level by emerging magnetic fields at the nonlinear stage of development (saturation) of Parker’s instability is determined. Conclusion: The results allow further detailed analysis of wave flow generation in the lower layers of the Sun’s atmosphere at various stages of the cycle activity.https://fizika.sgu.ru/sites/fizika.sgu.ru/files/text-pdf/2021/05/fizika_2021_2-stranicy-5-14.pdfsolar atmosphereanomalous heatinga thin magnetic tubethe parker’s instabilityfinite difference scheme |
spellingShingle | Stepanov, Evgeny Alexandrovich Mayorov, Alexandr Olegovich Romanov, Konstantin Valeryevich Romanov, Dmitry Valeryevich Romanov, Valery Alexandrovich Mathematical modeling of the Parker’s instability development of large-scale vibrations of magnetic fields in the sun convective zone Известия Саратовского университета. Новая серия Серия: Физика solar atmosphere anomalous heating a thin magnetic tube the parker’s instability finite difference scheme |
title | Mathematical modeling of the Parker’s instability development of large-scale vibrations of magnetic fields in the sun convective zone |
title_full | Mathematical modeling of the Parker’s instability development of large-scale vibrations of magnetic fields in the sun convective zone |
title_fullStr | Mathematical modeling of the Parker’s instability development of large-scale vibrations of magnetic fields in the sun convective zone |
title_full_unstemmed | Mathematical modeling of the Parker’s instability development of large-scale vibrations of magnetic fields in the sun convective zone |
title_short | Mathematical modeling of the Parker’s instability development of large-scale vibrations of magnetic fields in the sun convective zone |
title_sort | mathematical modeling of the parker s instability development of large scale vibrations of magnetic fields in the sun convective zone |
topic | solar atmosphere anomalous heating a thin magnetic tube the parker’s instability finite difference scheme |
url | https://fizika.sgu.ru/sites/fizika.sgu.ru/files/text-pdf/2021/05/fizika_2021_2-stranicy-5-14.pdf |
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