Show simple item record

Files in this item


Item metadata

dc.contributor.authorAl-Salti, Nasser
dc.contributor.authorNeukirch, Thomas
dc.contributor.authorRyan, Richard Daniel
dc.identifier.citationAl-Salti , N , Neukirch , T & Ryan , R D 2010 , ' Three-dimensional solutions of the magnetohydrostatic equations : rigidly rotating magnetized coronae in cylindrical geometry ' , Astronomy & Astrophysics , vol. 514 , A38 .
dc.identifier.otherORCID: /0000-0002-7597-4980/work/34032293
dc.description.abstractContext. Solutions of the magnetohydrostatic (MHS) equations are very important for modelling astrophysical plasmas, such as the coronae of magnetized stars. Realistic models should be three-dimensional, i.e., should not have any spatial symmetries, but finding three-dimensional solutions of the MHS equations is a formidable task. Aims. We present a general theoretical framework for calculating three-dimensional MHS solutions outside massive rigidly rotating central bodies, together with example solutions. A possible future application is to model the closed field region of the coronae of fast-rotating stars. Methods. As a first step, we present in this paper the theory and solutions for the case of a massive rigidly rotating magnetized cylinder, but the theory can easily be extended to other geometries, We assume that the solutions are stationary in the co-rotating frame of reference. To simplify the MHS equations, we use a special form for the current density, which leads to a single linear partial differential equation for a pseudo-potential U. The magnetic field can be derived from U by differentiation. The plasma density, pressure, and temperature are also part of the solution. Results. We derive the fundamental equation for the pseudo-potential both in coordinate independent form and in cylindrical coordinates. We present numerical example solutions for the case of cylindrical coordinates.
dc.relation.ispartofAstronomy & Astrophysicsen
dc.subjectMagnetic fieldsen
dc.subjectMagnetohydrodynamics (MHD)en
dc.subjectStars: magnetic fielden
dc.subjectStars: coronaeen
dc.subjectStars: activityen
dc.subjectElectric-current systemsen
dc.subjectSolar minimum coronaen
dc.subjectLarge-scale coronaen
dc.subjectMagnetostatic atmospheresen
dc.subjectMagnetohydrodynamic equilibriaen
dc.subjectMHD equilibriaen
dc.subjectField linesen
dc.subjectM dwarfsen
dc.subjectQB Astronomyen
dc.titleThree-dimensional solutions of the magnetohydrostatic equations : rigidly rotating magnetized coronae in cylindrical geometryen
dc.typeJournal articleen
dc.contributor.sponsorPPARC - Now STFCen
dc.contributor.sponsorEuropean Commissionen
dc.contributor.institutionUniversity of St Andrews. School of Mathematics and Statisticsen
dc.description.statusPeer revieweden

This item appears in the following Collection(s)

Show simple item record