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dc.contributor.authorHussain, A. S.
dc.contributor.authorBrowning, P. K.
dc.contributor.authorHood, A. W.
dc.date.accessioned2017-01-09T11:30:24Z
dc.date.available2017-01-09T11:30:24Z
dc.date.issued2017-04
dc.identifier.citationHussain , A S , Browning , P K & Hood , A W 2017 , ' A relaxation model of coronal heating in multiple interacting flux ropes ' , Astronomy & Astrophysics , vol. 600 , A5 . https://doi.org/10.1051/0004-6361/201629589en
dc.identifier.issn0004-6361
dc.identifier.otherPURE: 248665409
dc.identifier.otherPURE UUID: e71addcc-24b3-471a-9bcb-f7a55d4c9ec5
dc.identifier.otherBibCode: 2017A&A...600A...5H
dc.identifier.otherScopus: 85015732581
dc.identifier.otherBibCode: 2017A&A...600A...5H
dc.identifier.otherORCID: /0000-0003-2620-2068/work/58055132
dc.identifier.otherWOS: 000400754000071
dc.identifier.urihttps://hdl.handle.net/10023/10070
dc.descriptionThe authors wish to recognise funding from EPSRC through the Fusion Centre for Doctoral Training (Fusion-CDT - grant code: EP/K504178/1) through which this project is possible. Support from STFC for PKB and AWH is also acknowledged (grant numbers ST/L000768/1 and ST/N000609/1).en
dc.description.abstractContext: Heating the solar corona requires dissipation of stored magnetic energy, which may occur in twisted magnetic fields. Recently published numerical simulations show that the ideal kink instability in a twisted magnetic thread may trigger energy release in stable twisted neighbours, and demonstrate an avalanche of heating events. Aims: We aim to construct a Taylor relaxation model for the energy release from two flux ropes and compare this with the outcomes of the simulations. We then aim to extend the model to large numbers of flux ropes, allowing the possibility of modelling a heating avalanche, and calculation of the energy release for ensembles of twisted threads with varying twist profiles. Methods: The final state is calculated by assuming a helicity-conserving relaxation to a minimum energy state. Multiple scenarios are examined, which include kink-unstable flux ropes relaxing on their own, as well as stable and unstable flux ropes merging into a single rope as a result of magnetic reconnection. We consider alternative constraints that determine the spatial extent of the final relaxed state. Results: Good agreement is found between the relaxation model and the magnetohydrodynamic simulations, both for interactions of two twisted threads and for a multi-thread avalanche. The model can predict the energy release for flux ropes of varying degrees of twist, which relax individually or which merge through reconnection into a single flux rope. It is found that the energy output of merging flux ropes is dominated by the energy of the most strongly twisted rope. Conclusions: The relaxation approach provides a very good estimate of the energy release in an ensemble of twisted threads of which one is kink-unstable.
dc.format.extent13
dc.language.isoeng
dc.relation.ispartofAstronomy & Astrophysicsen
dc.rights© ESO, 2017. Open Access article, published by EDP Sciences, under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.en
dc.subjectMagnetohydrodynamics (MHD)en
dc.subjectMagnetic reconnectionen
dc.subjectSun: coronaen
dc.subjectSun: flaresen
dc.subjectSun: magnetic fieldsen
dc.subjectQB Astronomyen
dc.subjectQC Physicsen
dc.subjectNDASen
dc.subject.lccQBen
dc.subject.lccQCen
dc.titleA relaxation model of coronal heating in multiple interacting flux ropesen
dc.typeJournal articleen
dc.contributor.sponsorScience & Technology Facilities Councilen
dc.contributor.sponsorScience & Technology Facilities Councilen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews. Applied Mathematicsen
dc.identifier.doihttps://doi.org/10.1051/0004-6361/201629589
dc.description.statusPeer revieweden
dc.identifier.urlhttp://adsabs.harvard.edu/abs/2017A%26A...600A...5Hen
dc.identifier.grantnumberST/L005522/1en
dc.identifier.grantnumberST/N000609/1en


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