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Non-linear damping of surface Alfvén waves due to uniturbulence
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Ismayilli, Rajab, Van Doorsselaere, Tom, Goossens, Marcel and Magyar, Norbert (2022) Non-linear damping of surface Alfvén waves due to uniturbulence. Frontiers in Astronomy and Space Sciences, 8 . 769173. doi:10.3389/fspas.2021.769173 ISSN 2296-987X.
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WRAP-Non-linear-damping-surface-Alfvén-waves-uniturbulence-Magyar-2022.pdf - Published Version - Requires a PDF viewer. Available under License Creative Commons Attribution 4.0. Download (1881Kb) | Preview |
Official URL: https://doi.org/10.3389/fspas.2021.769173
Abstract
This investigation is concerned with uniturbulence associated with surface Alfvén waves that exist in a Cartesian equilibrium model with a constant magnetic field and a piece-wise constant density. The surface where the equilibrium density changes in a discontinuous manner are the source of surface Alfvén waves. These surface Alfvén waves create uniturbulence because of the variation of the density across the background magnetic field. The damping of the surface Alfvén waves due to uniturbulence is determined using the Elsässer formulation. Analytical expressions for the wave energy density, the energy cascade, and the damping time are derived. The study of uniturbulence due to surface Alfvén waves is inspired by the observation that (the fundamental radial mode of) kink waves behave similarly to surface Alfvén waves. The results for this relatively simple case of surface Alfvén waves can help us understand the more complicated case of kink waves in cylinders. We perform a series of 3D ideal MHD simulations for a numerical demonstration of the non-linearly self-cascading model of unidirectional surface Alfvén waves using the code MPI-AMRVAC. We show that surface Alfvén waves damping time in the numerical simulations follows well our analytical prediction for that quantity. Analytical theory and the simulations show that the damping time is inversely proportional to the amplitude of the surface Alfvén waves and the density contrast. This unidirectional cascade may play a role in heating the coronal plasma.
Item Type: | Journal Article | ||||||
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Subjects: | Q Science > QB Astronomy Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||||
SWORD Depositor: | Library Publications Router | ||||||
Library of Congress Subject Headings (LCSH): | Magnetohydrodynamic waves, Space plasmas, Electromagnetic waves, Solar atmosphere, Magnetohydrodynamics, Magnetohydrodynamic instabilities, Turbulence | ||||||
Journal or Publication Title: | Frontiers in Astronomy and Space Sciences | ||||||
Publisher: | Frontiers Research Foundation | ||||||
ISSN: | 2296-987X | ||||||
Official Date: | 14 January 2022 | ||||||
Dates: |
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Volume: | 8 | ||||||
Article Number: | 769173 | ||||||
DOI: | 10.3389/fspas.2021.769173 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||
Date of first compliant deposit: | 22 February 2022 | ||||||
Date of first compliant Open Access: | 24 February 2022 | ||||||
RIOXX Funder/Project Grant: |
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