Phase Mixing of Propagating Alfvén Waves in a Single-fluid Partially Ionized Solar Plasma

The phase mixing of Alfvén waves is one of the most promising mechanisms for the heating of the solar atmosphere. The damping of waves in this case requires small transversal scales, relative to the magnetic field direction; this requirement is achieved by considering a transversal inhomogeneity in...

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Main Authors: M. McMurdo, I. Ballai, G. Verth, A. Alharbi, V. Fedun
Format: Article
Language:English
Published: IOP Publishing 2023-01-01
Series:The Astrophysical Journal
Subjects:
Online Access:https://doi.org/10.3847/1538-4357/ad0364
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author M. McMurdo
I. Ballai
G. Verth
A. Alharbi
V. Fedun
author_facet M. McMurdo
I. Ballai
G. Verth
A. Alharbi
V. Fedun
author_sort M. McMurdo
collection DOAJ
description The phase mixing of Alfvén waves is one of the most promising mechanisms for the heating of the solar atmosphere. The damping of waves in this case requires small transversal scales, relative to the magnetic field direction; this requirement is achieved by considering a transversal inhomogeneity in the equilibrium plasma density profile. Using a single-fluid approximation of a partially ionized chromospheric plasma, we study the effectiveness of the damping of phase-mixed shear Alfvén waves and investigate the effect of varying the ionization degree on the dissipation of waves. Our results show that the dissipation length of shear Alfvén waves strongly depends on the ionization degree of the plasma, but more importantly, in a partially ionized plasma, the damping length of shear Alfvén waves is several orders of magnitude shorter than in the case of a fully ionized plasma, providing evidence that phase mixing could be a large contributor to heating the solar chromosphere. The effectiveness of phase mixing is investigated for various ionization degrees, ranging from very weakly to very strongly ionized plasmas. Our results show that phase-mixed propagating Alfvén waves in a partially ionized plasma with ionization degrees in the range μ = 0.518–0.657, corresponding to heights of 1916–2150 km above the solar surface, can provide sufficient heating to balance chromospheric radiative losses in the quiet Sun.
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spelling doaj.art-3d486edd0bd049b28a58162e74a97a6f2023-11-14T15:56:04ZengIOP PublishingThe Astrophysical Journal1538-43572023-01-0195818110.3847/1538-4357/ad0364Phase Mixing of Propagating Alfvén Waves in a Single-fluid Partially Ionized Solar PlasmaM. McMurdo0https://orcid.org/0009-0001-1997-4361I. Ballai1https://orcid.org/0000-0002-3066-7653G. Verth2https://orcid.org/0000-0002-9546-2368A. Alharbi3https://orcid.org/0000-0003-3659-8000V. Fedun4https://orcid.org/0000-0002-0893-7346Plasma Dynamics Group, School of Mathematics and Statistics, The University of Sheffield , Hicks Building, Hounsfield Road, Sheffield, S3 7RH, UK ; mmcmurdo1@sheffield.ac.ukPlasma Dynamics Group, School of Mathematics and Statistics, The University of Sheffield , Hicks Building, Hounsfield Road, Sheffield, S3 7RH, UK ; mmcmurdo1@sheffield.ac.ukPlasma Dynamics Group, School of Mathematics and Statistics, The University of Sheffield , Hicks Building, Hounsfield Road, Sheffield, S3 7RH, UK ; mmcmurdo1@sheffield.ac.ukDepartment of Mathematics, Jamoum University College, Umm Al-Qura University , Jamoum, 25375 Makkah, Saudi ArabiaPlasma Dynamics Group, Department of Automatic Control and Systems Engineering, The University of Sheffield , Mappin Street, Sheffield, S1 3JD, UKThe phase mixing of Alfvén waves is one of the most promising mechanisms for the heating of the solar atmosphere. The damping of waves in this case requires small transversal scales, relative to the magnetic field direction; this requirement is achieved by considering a transversal inhomogeneity in the equilibrium plasma density profile. Using a single-fluid approximation of a partially ionized chromospheric plasma, we study the effectiveness of the damping of phase-mixed shear Alfvén waves and investigate the effect of varying the ionization degree on the dissipation of waves. Our results show that the dissipation length of shear Alfvén waves strongly depends on the ionization degree of the plasma, but more importantly, in a partially ionized plasma, the damping length of shear Alfvén waves is several orders of magnitude shorter than in the case of a fully ionized plasma, providing evidence that phase mixing could be a large contributor to heating the solar chromosphere. The effectiveness of phase mixing is investigated for various ionization degrees, ranging from very weakly to very strongly ionized plasmas. Our results show that phase-mixed propagating Alfvén waves in a partially ionized plasma with ionization degrees in the range μ = 0.518–0.657, corresponding to heights of 1916–2150 km above the solar surface, can provide sufficient heating to balance chromospheric radiative losses in the quiet Sun.https://doi.org/10.3847/1538-4357/ad0364MagnetohydrodynamicsSolar magnetic fieldsSpace plasmasAlfvén waves
spellingShingle M. McMurdo
I. Ballai
G. Verth
A. Alharbi
V. Fedun
Phase Mixing of Propagating Alfvén Waves in a Single-fluid Partially Ionized Solar Plasma
The Astrophysical Journal
Magnetohydrodynamics
Solar magnetic fields
Space plasmas
Alfvén waves
title Phase Mixing of Propagating Alfvén Waves in a Single-fluid Partially Ionized Solar Plasma
title_full Phase Mixing of Propagating Alfvén Waves in a Single-fluid Partially Ionized Solar Plasma
title_fullStr Phase Mixing of Propagating Alfvén Waves in a Single-fluid Partially Ionized Solar Plasma
title_full_unstemmed Phase Mixing of Propagating Alfvén Waves in a Single-fluid Partially Ionized Solar Plasma
title_short Phase Mixing of Propagating Alfvén Waves in a Single-fluid Partially Ionized Solar Plasma
title_sort phase mixing of propagating alfven waves in a single fluid partially ionized solar plasma
topic Magnetohydrodynamics
Solar magnetic fields
Space plasmas
Alfvén waves
url https://doi.org/10.3847/1538-4357/ad0364
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