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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Main Authors: Stepanov, Evgeny Alexandrovich, Mayorov, Alexandr Olegovich, Romanov, Konstantin Valeryevich, Romanov, Dmitry Valeryevich, Romanov, Valery Alexandrovich
Format: Article
Language:English
Published: Saratov State University 2021-05-01
Series:Известия Саратовского университета. Новая серия Серия: Физика
Subjects:
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.
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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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