Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982apj...263..952l&link_type=abstract
Astrophysical Journal, Part 1, vol. 263, Dec. 15, 1982, p. 952-969.
Astronomy and Astrophysics
Astrophysics
46
Coronal Loops, Magnetic Variations, Magnetostatics, Plasma Equilibrium, Solar Atmosphere, Solar Magnetic Field, Equilibrium Equations, Hyperbolic Differential Equations, Magnetic Field Configurations, Magnetohydrodynamic Stability, Solar Corona, Solar Prominences, Stellar Atmospheres, Thermal Stability
Scientific paper
The static equilibrium of a fully ionized atmosphere with an embedded magnetic field, in the presence of a uniform gravity, is considered under the assumption that the magnetic field lines lie in parallel vertical planes perpendicular to the x-axis in Cartesian coordinates. The system is allowed to vary in all three dimensions. A nonlinear, second-order hyperbolic partial differential equation having y and z as independent variables is shown to be a necessary condition on the magnetic surfaces for an equilibrium state to exist. Selected explicit solutions are presented which illustrate various structural properties of prominence-like density enhancements, coronal magnetic arcades, as well as discrete bipolar plasma loops, for which explicit equilibrium solutions with three-dimensional extensions are for the first time presented.
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