Effect of transitional layer on frequency of kink oscillations

Abstract

In this article we study the effect of a transitional layer in a magnetic tube on the real part of the frequencies of kink oscillations. In our analysis, we use the model of a straight magnetic tube with the density and cross-section radius varying along the loop, and the thin-tube thin-boundary (TTTB) approximation. First, we calculate the correction to the fundamental frequency and show that it is positive and of the order of the ratio of the transitional layer thickness to the loop radius ℓ. The increase in the fundamental frequency results in the decrease in the estimate of the magnetic-field magnitude. Then we study the effect of the transitional layer on the ratio between the fundamental frequency and the first overtone frequency that is used for estimating the atmospheric scale height. We show that the correction to the frequency ratio is of the order of ℓ2, and thus it can be neglected for moderate values of ℓ.

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Item Type:	Article
Authors/Creators:	Ruderman, M.S. https://orcid.org/0000-0003-2324-8466 Petrukhin, N.S.
Copyright, Publisher and Additional Information:	© The Author(s) 2022. Open Access: This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Keywords:	Sun; Plasma; Magnetohydrodynamics; Waves; Oscillations
Dates:	Published: June 2022 Published (online): 13 June 2022 Accepted: 13 May 2022
Institution:	The University of Sheffield
Academic Units:	The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield)
Depositing User:	Symplectic Sheffield
Date Deposited:	20 Jun 2022 14:08
Last Modified:	20 Jun 2022 14:08
Status:	Published
Publisher:	Springer Science and Business Media LLC
Refereed:	Yes
Identification Number:	10.1007/s11207-022-02008-2
Open Archives Initiative ID (OAI ID):	oai:eprints.whiterose.ac.uk:188190

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Effect of transitional layer on frequency of kink oscillations

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