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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 threedimensional, i.e., should not have any spatial symmetries, but finding threedimensional solutions of the MHS equations is a formidable task.
Aims. We present a general theoretical framework for calculating threedimensional 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 fastrotating 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 corotating 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 pseudopotential 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 pseudopotential both in coordinate independent form and in cylindrical coordinates. We present numerical example solutions for the case of cylindrical coordinates.
Original language  English 

Article number  A38 
Number of pages  11 
Journal  Astronomy & Astrophysics 
Volume  514 
DOIs  
Publication status  Published  May 2010 
Keywords
 Magnetic fields
 Magnetohydrodynamics (MHD)
 Stars: magnetic field
 Stars: coronae
 Stars: activity
 Electriccurrent systems
 Solar minimum corona
 Largescale corona
 Magnetostatic atmospheres
 ABdoradus
 Magnetohydrodynamic equilibria
 MHD equilibria
 Field lines
 M dwarfs
 Model
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Solar&Magnetospheric Plasma Theory PP/E1: Solar and Magnetospheric Plasma Theory
Neukirch, T., Hood, A. W., Parnell, C. E., Priest, E., Roberts, B. & Wright, A. N.
1/04/07 → 31/03/12
Project: Standard