Current-sheet formation in two-dimensional coronal fields

Astronomy and Astrophysics – Astronomy

Scientific paper

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Current Sheets, Solar Convection (Astronomy), Solar Corona, Solar Flares, Solar Magnetic Field, Stellar Models, Magnetic Field Configurations, Magnetic Relaxation, Mathematical Models, Photosphere

Scientific paper

The formation of current sheets by shearing motions in line-tied twin-lobed fields is examined. A general analytic argument shows that current sheets form along the fieldline bounding the two lobes in the case of both symmetric and asymmetric footpoint motions. In the case of strictly antisymmetric motions however no current sheets can form. These findings are reinforced by magnetic relaxation experiments involving sheared two-lobed fields represented by Clebsh variables. It is pointed out that, although current singularites cannot be expected to form when the line-tying assumption is relaxed, the two-lobed geometry is still consistent with the formation of highly localised currents - and strong resistive dissipation - along field lines close to the bounding fieldline.

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