Other
Scientific paper
Dec 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981apj...251..352l&link_type=abstract
Astrophysical Journal, Part 1, vol. 251, Dec. 1, 1981, p. 352-363.
Other
103
Atmospheric Models, Photosphere, Solar Magnetic Field, Stellar Evolution, Boundary Value Problems, Current Sheets, Isothermal Processes, Lines Of Force, Magnetic Flux, Plasma Pressure, Solar Corona
Scientific paper
The quasi-steady evolution of solar magnetic fields in response to gradual photospheric changes is considered, with particular attention given to the threshold of a sudden eruption in the solar atmosphere. The formal model of an evolving, force-free field dependent on two Cartesian coordinates is extended to a field which is not force free but in static equilibrium with plasma pressure and gravity. The basic physics is illustrated through the evolution of a loop-shaped electric current sheet enclosing a potential bipolar field with footpoints rooted in the photosphere. A free-boundary problem is posed and then solved for the equilibrium configuration of the current sheet in a hydrostatically supported isothermal atmosphere. As the footpoints move apart to spread a constant photospheric magnetic flux over a larger region, the equilibria available extend the field to increasing heights.
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