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dc.contributor.authorNeukirch, Thomas
dc.contributor.authorWiegelmann, Thomas
dc.date.accessioned2019-12-10T17:30:03Z
dc.date.available2019-12-10T17:30:03Z
dc.date.issued2019
dc.identifier.citationNeukirch , T & Wiegelmann , T 2019 , ' Analytical three-dimensional magnetohydrostatic equilibrium solutions for magnetic field extrapolation allowing a transition from non-force-free to force-free magnetic fields ' , Solar Physics , vol. 294 , 171 , pp. 1-18 . https://doi.org/10.1007/s11207-019-1561-0en
dc.identifier.issn0038-0938
dc.identifier.otherPURE: 263618433
dc.identifier.otherPURE UUID: 16b4486d-d5f2-453a-97c9-3bcb5300b9bf
dc.identifier.otherORCID: /0000-0002-7597-4980/work/66069970
dc.identifier.otherScopus: 85076427908
dc.identifier.otherWOS: 000511716700001
dc.identifier.urihttps://hdl.handle.net/10023/19114
dc.descriptionFunding: UK Science and Technology Facilities Council (STFC), Consolidated Grants ST/K000950/1, ST/N000609/1 and ST/S000402/1 (TN).en
dc.description.abstractFor the extrapolation of magnetic fields into the solar corona from measurements taken in the photosphere (or chromosphere) force-free magnetic fields are typically used. This does not take into account that the lower layers of the solar atmosphere are not force-free. While some numerical extrapolation methods using magnetohydrostatic magnetic fields have been suggested, a complementary and numerically comparatively cheap method is to use analytical magnetohydrostatic equilibria to extrapolate the magnetic field. In this paper, we present a new family of solutions for a special class of analytical three-dimensional magnetohydrostatic equilibria, which can be of use for such magnetic field extrapolation. The new solutions allow for the more flexible modeling of a transition from non-force-free to (linear) force-free magnetic fields. In particular, the height and width of the region where this transition takes place can be specified by choosing appropriate model parameters.
dc.format.extent18
dc.language.isoeng
dc.relation.ispartofSolar Physicsen
dc.rights© The Author(s) 2019. Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.en
dc.subjectMagnetic fields, modelsen
dc.subjectMagnetic fields, coronaen
dc.subjectMagnetic fields, chromosphereen
dc.subjectMagnetic fields, photosphereen
dc.subjectQA Mathematicsen
dc.subjectQB Astronomyen
dc.subjectQC Physicsen
dc.subject3rd-DASen
dc.subject.lccQAen
dc.subject.lccQBen
dc.subject.lccQCen
dc.titleAnalytical three-dimensional magnetohydrostatic equilibrium solutions for magnetic field extrapolation allowing a transition from non-force-free to force-free magnetic fieldsen
dc.typeJournal articleen
dc.contributor.sponsorScience & Technology Facilities Councilen
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/10.1007/s11207-019-1561-0
dc.description.statusPeer revieweden
dc.identifier.grantnumberST/K000950/1en
dc.identifier.grantnumberST/N000609/1en
dc.identifier.grantnumberST/S000402/1en


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