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Please use this identifier to cite or link to this item: http://hdl.handle.net/10023/2267
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Title: Three-dimensional solutions of the magnetohydrostatic equations : rigidly rotating magnetized coronae in cylindrical geometry
Authors: Al-Salti, Nasser
Neukirch, Thomas
Ryan, Richard Daniel
Keywords: Magnetic fields
Magnetohydrodynamics (MHD)
Stars: magnetic field
Stars: coronae
Stars: activity
Electric-current systems
Solar minimum corona
Large-scale corona
Magnetostatic atmospheres
AB-doradus
Magnetohydrodynamic equilibria
MHD equilibria
Field lines
M dwarfs
Model
QB Astronomy
Issue Date: May-2010
Citation: Al-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 .
Abstract: Context. 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.
Version: Postprint
Status: Peer reviewed
URI: http://hdl.handle.net/10023/2267
DOI: http://dx.doi.org/10.1051/0004-6361/200913723
ISSN: 0004-6361
Type: Journal article
Rights: This is an author version of an article published in Astronomy and Astrophysics, (c) ESO 2010
Appears in Collections:University of St Andrews Research
Mathematics & Statistics Research



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