Non-linear damping of standing kink waves computed with Elsasser variables
In a previous paper, we computed the energy density and the non-linear energy cascade rate for transverse kink waves using Elsasser variables. In this paper, we focus on the standing kink waves, which are impulsively excited in coronal loops by external perturbations. We present an analytical calcul...
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| creator | Tom Van Doorsselaere Goossens, Marcel Magyar, Norbert Ruderman, Michael S Rajab Ismayilli |
| description | In a previous paper, we computed the energy density and the non-linear energy cascade rate for transverse kink waves using Elsasser variables. In this paper, we focus on the standing kink waves, which are impulsively excited in coronal loops by external perturbations. We present an analytical calculation to compute the damping time due to the non-linear development of the Kelvin-Helmholtz instability. The main result is that the damping time is inversely proportional to the oscillation amplitude. We compare the damping times from our formula with the results of numerical simulations and observations. In both cases we find a reasonably good match. The comparison with the simulations show that the non-linear damping dominates in the high amplitude regime, while the low amplitude regime shows damping by resonant absorption. In the comparison with the observations, we find a power law inversely proportional to the amplitude \(\eta^{-1}\) as an outer envelope for our Monte Carlo data points. |
| doi_str_mv | 10.48550/arxiv.2104.14331 |
| format | Article |
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In this paper, we focus on the standing kink waves, which are impulsively excited in coronal loops by external perturbations. We present an analytical calculation to compute the damping time due to the non-linear development of the Kelvin-Helmholtz instability. The main result is that the damping time is inversely proportional to the oscillation amplitude. We compare the damping times from our formula with the results of numerical simulations and observations. In both cases we find a reasonably good match. The comparison with the simulations show that the non-linear damping dominates in the high amplitude regime, while the low amplitude regime shows damping by resonant absorption. In the comparison with the observations, we find a power law inversely proportional to the amplitude \(\eta^{-1}\) as an outer envelope for our Monte Carlo data points.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.2104.14331</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Amplitudes ; Computation ; Computer simulation ; Coronal loops ; Damping ; Data points ; Flux density ; Kelvin-Helmholtz instability ; Linear damping ; Perturbation ; Physics - Solar and Stellar Astrophysics</subject><ispartof>arXiv.org, 2021-04</ispartof><rights>2021. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). 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In the comparison with the observations, we find a power law inversely proportional to the amplitude \(\eta^{-1}\) as an outer envelope for our Monte Carlo data points.</description><subject>Amplitudes</subject><subject>Computation</subject><subject>Computer simulation</subject><subject>Coronal loops</subject><subject>Damping</subject><subject>Data points</subject><subject>Flux density</subject><subject>Kelvin-Helmholtz instability</subject><subject>Linear damping</subject><subject>Perturbation</subject><subject>Physics - Solar and Stellar Astrophysics</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><sourceid>GOX</sourceid><recordid>eNotj8tOwzAURC0kJKrSD2CFJdYp9rUdJ0tUFSiqYNN9dBM74DYv7CSFvydtWc0sjkZzCLnjbCkTpdgj-h83LoEzueRSCH5FZjBFlEiAG7IIYc8Yg1iDUmJG3t7bJqpcY9FTg3Xnmk_aljT02JhTP7jmQI842kCLtu6G3hp6dP0XXVcBQ7Cejugd5pUNt-S6xCrYxX_Oye55vVu9RtuPl83qaRuhgjSyqciVxKIAo0WBpUq1SXTOtJQiN1qlJrEy4TnyBJSxgBpiNWEQl4LnZSrm5P4yexbNOu9q9L_ZSTg7C0_Ew4XofPs92NBn-3bwzfQpAwWMSQUyFX8pc1i_</recordid><startdate>20210429</startdate><enddate>20210429</enddate><creator>Tom Van Doorsselaere</creator><creator>Goossens, Marcel</creator><creator>Magyar, Norbert</creator><creator>Ruderman, Michael S</creator><creator>Rajab Ismayilli</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PHGZM</scope><scope>PHGZT</scope><scope>PIMPY</scope><scope>PKEHL</scope><scope>PQEST</scope><scope>PQGLB</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20210429</creationdate><title>Non-linear damping of standing kink waves computed with Elsasser variables</title><author>Tom Van Doorsselaere ; Goossens, Marcel ; Magyar, Norbert ; Ruderman, Michael S ; Rajab Ismayilli</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a529-e93b54acc2d73caf597d87b07443bd759d8e481ba1825de2a7265af526f31bf93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Amplitudes</topic><topic>Computation</topic><topic>Computer simulation</topic><topic>Coronal loops</topic><topic>Damping</topic><topic>Data points</topic><topic>Flux density</topic><topic>Kelvin-Helmholtz instability</topic><topic>Linear damping</topic><topic>Perturbation</topic><topic>Physics - Solar and Stellar Astrophysics</topic><toplevel>online_resources</toplevel><creatorcontrib>Tom Van Doorsselaere</creatorcontrib><creatorcontrib>Goossens, Marcel</creatorcontrib><creatorcontrib>Magyar, Norbert</creatorcontrib><creatorcontrib>Ruderman, Michael S</creatorcontrib><creatorcontrib>Rajab Ismayilli</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>ProQuest Central (New)</collection><collection>ProQuest One Academic (New)</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Middle East (New)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Applied & Life Sciences</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Tom Van Doorsselaere</au><au>Goossens, Marcel</au><au>Magyar, Norbert</au><au>Ruderman, Michael S</au><au>Rajab Ismayilli</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Non-linear damping of standing kink waves computed with Elsasser variables</atitle><jtitle>arXiv.org</jtitle><date>2021-04-29</date><risdate>2021</risdate><eissn>2331-8422</eissn><abstract>In a previous paper, we computed the energy density and the non-linear energy cascade rate for transverse kink waves using Elsasser variables. In this paper, we focus on the standing kink waves, which are impulsively excited in coronal loops by external perturbations. We present an analytical calculation to compute the damping time due to the non-linear development of the Kelvin-Helmholtz instability. The main result is that the damping time is inversely proportional to the oscillation amplitude. We compare the damping times from our formula with the results of numerical simulations and observations. In both cases we find a reasonably good match. The comparison with the simulations show that the non-linear damping dominates in the high amplitude regime, while the low amplitude regime shows damping by resonant absorption. 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| subjects | Amplitudes Computation Computer simulation Coronal loops Damping Data points Flux density Kelvin-Helmholtz instability Linear damping Perturbation Physics - Solar and Stellar Astrophysics |
| title | Non-linear damping of standing kink waves computed with Elsasser variables |
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