Longitudinal oscillations in density stratified and expanding solar waveguides

Waves and oscillations can provide vital information about the internal structure of waveguides in which they propagate. Here, we analytically investigate the effects of density and magnetic stratification on linear longitudinal magnetohydrodynamic (MHD) waves. The focus of this paper is to study th...

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Detalles Bibliográficos
Autores principales:	Luna-Cardozo, M., Verth, G., Erdélyi, R.
Formato:	JOUR
Materias:	magnetohydrodynamics (MHD) Sun: chromosphere Sun: corona Sun: oscillations waves
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_0004637X_v748_n2_p_LunaCardozo
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_0004637X_v748_n2_p_LunaCardozo
record_format	dspace
spelling	todo:paper_0004637X_v748_n2_p_LunaCardozo2023-10-03T14:02:18Z Longitudinal oscillations in density stratified and expanding solar waveguides Luna-Cardozo, M. Verth, G. Erdélyi, R. magnetohydrodynamics (MHD) Sun: chromosphere Sun: corona Sun: oscillations waves Waves and oscillations can provide vital information about the internal structure of waveguides in which they propagate. Here, we analytically investigate the effects of density and magnetic stratification on linear longitudinal magnetohydrodynamic (MHD) waves. The focus of this paper is to study the eigenmodes of these oscillations. It is our specific aim to understand what happens to these MHD waves generated in flux tubes with non-constant (e.g., expanding or magnetic bottle) cross-sectional area and density variations. The governing equation of the longitudinal mode is derived and solved analytically and numerically. In particular, the limit of the thin flux tube approximation is examined. The general solution describing the slow longitudinal MHD waves in an expanding magnetic flux tube with constant density is found. Longitudinal MHD waves in density stratified loops with constant magnetic field are also analyzed. From analytical solutions, the frequency ratio of the first overtone and fundamental mode is investigated in stratified waveguides. For small expansion, a linear dependence between the frequency ratio and the expansion factor is found. From numerical calculations it was found that the frequency ratio strongly depends on the density profile chosen and, in general, the numerical results are in agreement with the analytical results. The relevance of these results for solar magneto-seismology is discussed. © 2012. The American Astronomical Society. All rights reserved. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0004637X_v748_n2_p_LunaCardozo
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	magnetohydrodynamics (MHD) Sun: chromosphere Sun: corona Sun: oscillations waves
spellingShingle	magnetohydrodynamics (MHD) Sun: chromosphere Sun: corona Sun: oscillations waves Luna-Cardozo, M. Verth, G. Erdélyi, R. Longitudinal oscillations in density stratified and expanding solar waveguides
topic_facet	magnetohydrodynamics (MHD) Sun: chromosphere Sun: corona Sun: oscillations waves
description	Waves and oscillations can provide vital information about the internal structure of waveguides in which they propagate. Here, we analytically investigate the effects of density and magnetic stratification on linear longitudinal magnetohydrodynamic (MHD) waves. The focus of this paper is to study the eigenmodes of these oscillations. It is our specific aim to understand what happens to these MHD waves generated in flux tubes with non-constant (e.g., expanding or magnetic bottle) cross-sectional area and density variations. The governing equation of the longitudinal mode is derived and solved analytically and numerically. In particular, the limit of the thin flux tube approximation is examined. The general solution describing the slow longitudinal MHD waves in an expanding magnetic flux tube with constant density is found. Longitudinal MHD waves in density stratified loops with constant magnetic field are also analyzed. From analytical solutions, the frequency ratio of the first overtone and fundamental mode is investigated in stratified waveguides. For small expansion, a linear dependence between the frequency ratio and the expansion factor is found. From numerical calculations it was found that the frequency ratio strongly depends on the density profile chosen and, in general, the numerical results are in agreement with the analytical results. The relevance of these results for solar magneto-seismology is discussed. © 2012. The American Astronomical Society. All rights reserved.
format	JOUR
author	Luna-Cardozo, M. Verth, G. Erdélyi, R.
author_facet	Luna-Cardozo, M. Verth, G. Erdélyi, R.
author_sort	Luna-Cardozo, M.
title	Longitudinal oscillations in density stratified and expanding solar waveguides
title_short	Longitudinal oscillations in density stratified and expanding solar waveguides
title_full	Longitudinal oscillations in density stratified and expanding solar waveguides
title_fullStr	Longitudinal oscillations in density stratified and expanding solar waveguides
title_full_unstemmed	Longitudinal oscillations in density stratified and expanding solar waveguides
title_sort	longitudinal oscillations in density stratified and expanding solar waveguides
url	http://hdl.handle.net/20.500.12110/paper_0004637X_v748_n2_p_LunaCardozo
work_keys_str_mv	AT lunacardozom longitudinaloscillationsindensitystratifiedandexpandingsolarwaveguides AT verthg longitudinaloscillationsindensitystratifiedandexpandingsolarwaveguides AT erdelyir longitudinaloscillationsindensitystratifiedandexpandingsolarwaveguides
_version_	1807316822476718080

Longitudinal oscillations in density stratified and expanding solar waveguides

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