Upper limits in the toroidal component of force-free magnetic fields in stellar atmospheres in the context of solar and stellar flares

Details Upper limits in the toroidal component of force-free magnetic fields in stellar atmospheres in the context of solar and stellar flares Upper limits in the toroidal component of force-free magnetic fields in stellar atmospheres in the context of solar and stellar flares

Dec 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976soph...50..405j&link_type=abstract

Solar Physics, vol. 50, Nov.-Dec. 1976, p. 405-427.

Physics

18

Force-Free Magnetic Fields, Magnetic Field Configurations, Solar Flares, Stellar Atmospheres, Stellar Flares, Stellar Magnetic Fields, Lines Of Force, Magnetic Flux, Shear Flow, Solar Prominences, Toroids

Scientific paper

Recent calculations of axisymmetric force-free magnetic fields have indicated that the toroidal field component at the stellar surface cannot exceed a certain limit if equilibria are to exist. This problem and the related problem of what happens when the limit is exceeded are reexamined in terms of a plane stellar surface using a simple analytical approximation. The toroidal component is specified by a power law, and an upper limit to that component is obtained. The previous result is confirmed, but it is also shown that the problem of what happens if the upper limit is exceeded is irrelevant since that limit will not be exceeded and that the shear magnetic field must be prescribed if sudden changes in the magnetic-field configuration can take place. The shear field is determined analytically for the cases where all field lines and only some field lines connect to the stellar surface. It is concluded that as long as all field lines connect to the surface, there is no possibility of sudden changes in the magnetic-field configuration and, consequently, no possibility of a sudden release of magnetic energy.

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