Formation of current sheets in force-free magnetic fields

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Current Sheets, Force-Free Magnetic Fields, Photosphere, Solar Corona, Magnetic Field Configurations, Solar Flares, Solar Magnetic Field, Two Dimensional Models

Scientific paper

It is shown that the evolution of coronal magnetic fields in response to slow photospheric footpoint motions in general produces states with current sheets rather than smooth force-free equilibria. When a separatrix surface is present, shearing motions of a two-dimensional double arcade in general produce a current sheet all along the separatrix, whether the motions are infinitesimal or of finite amplitude; local singularities in the horizontal field component occur at the footpoints of the separatrix where it becomes tangential to the solar surface although the flux function is regular there. The particular case of equal lobes and an antisymmetric shear gives a smooth field without current sheets. When there is an X-ray neutral line (or separator) present, converging or diverging motions create a current sheet with Y-points at its ends.

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