Exploring the Ideal MHD Quasi-Modes of a Plasma Interface with a Thick Nonuniform Transition

Nonuniform plasma across an imposed magnetic field, such as those present in the solar atmosphere, can support collective Alfvénic oscillations with a characteristic damping time. The damped transverse oscillations of coronal loops are an example of this process. In ideal magnetohydrodynamics (MHD),...

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Main Author: Roberto Soler
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Physics
Subjects:
Online Access:https://www.mdpi.com/2624-8174/4/4/87
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author Roberto Soler
author_facet Roberto Soler
author_sort Roberto Soler
collection DOAJ
description Nonuniform plasma across an imposed magnetic field, such as those present in the solar atmosphere, can support collective Alfvénic oscillations with a characteristic damping time. The damped transverse oscillations of coronal loops are an example of this process. In ideal magnetohydrodynamics (MHD), these transient collective motions are associated with quasi-modes resonant in the Alfvén continuum. Quasi-modes live in a non-principal Riemann sheet of the dispersion relation, and so they are not true ideal MHD eigenmodes. The present study considers the illustrative case of incompressible surface MHD waves propagating on a nonuniform interface between two uniform plasmas with a straight magnetic field parallel to the interface. It is explored how the ideal quasi-modes of this configuration change when the width of the nonuniform transition increases. It is found that interfaces with wide enough transitions are not able to support truly collective oscillations. A quasi-mode that can be related with a resonantly damped surface MHD wave can only be found in interfaces with sufficiently thin transitions.
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spelling doaj.art-64c898b2dbad498fb35dab17e825242a2023-11-24T17:26:38ZengMDPI AGPhysics2624-81742022-11-01441359137010.3390/physics4040087Exploring the Ideal MHD Quasi-Modes of a Plasma Interface with a Thick Nonuniform TransitionRoberto Soler0Departament de Física, Universitat de les Illes Balears, E-07122 Palma de Mallorca, SpainNonuniform plasma across an imposed magnetic field, such as those present in the solar atmosphere, can support collective Alfvénic oscillations with a characteristic damping time. The damped transverse oscillations of coronal loops are an example of this process. In ideal magnetohydrodynamics (MHD), these transient collective motions are associated with quasi-modes resonant in the Alfvén continuum. Quasi-modes live in a non-principal Riemann sheet of the dispersion relation, and so they are not true ideal MHD eigenmodes. The present study considers the illustrative case of incompressible surface MHD waves propagating on a nonuniform interface between two uniform plasmas with a straight magnetic field parallel to the interface. It is explored how the ideal quasi-modes of this configuration change when the width of the nonuniform transition increases. It is found that interfaces with wide enough transitions are not able to support truly collective oscillations. A quasi-mode that can be related with a resonantly damped surface MHD wave can only be found in interfaces with sufficiently thin transitions.https://www.mdpi.com/2624-8174/4/4/87Sun: oscillationsSun: atmospherewavesmagnetohydrodynamics (MHD)
spellingShingle Roberto Soler
Exploring the Ideal MHD Quasi-Modes of a Plasma Interface with a Thick Nonuniform Transition
Physics
Sun: oscillations
Sun: atmosphere
waves
magnetohydrodynamics (MHD)
title Exploring the Ideal MHD Quasi-Modes of a Plasma Interface with a Thick Nonuniform Transition
title_full Exploring the Ideal MHD Quasi-Modes of a Plasma Interface with a Thick Nonuniform Transition
title_fullStr Exploring the Ideal MHD Quasi-Modes of a Plasma Interface with a Thick Nonuniform Transition
title_full_unstemmed Exploring the Ideal MHD Quasi-Modes of a Plasma Interface with a Thick Nonuniform Transition
title_short Exploring the Ideal MHD Quasi-Modes of a Plasma Interface with a Thick Nonuniform Transition
title_sort exploring the ideal mhd quasi modes of a plasma interface with a thick nonuniform transition
topic Sun: oscillations
Sun: atmosphere
waves
magnetohydrodynamics (MHD)
url https://www.mdpi.com/2624-8174/4/4/87
work_keys_str_mv AT robertosoler exploringtheidealmhdquasimodesofaplasmainterfacewithathicknonuniformtransition