Formation of Current Sheets in Two-dimensional Geometry

Astronomy and Astrophysics – Astronomy

Scientific paper

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Magnetohydrodynamics: Mhd, Sun: Corona, Sun: Magnetic Fields

Scientific paper

We present two examples of current sheets that form in a magnetic configuration when it is subjected to quasi-static motions at the footpoints. The entire system is two-dimensional. There are no preexisting X-points and the footpoint motions are continuous. The calculations are motivated by the hypothesis of Parker that quasi-static deformations of MHD equilibria are generally accompanied by the formation of current sheets. The results demonstrate that three dimensions are not a necessary condition for current sheet formation. In addition, the calculation of Van Ballegooijen is not contradicted, because the initial magnetic field in our case is not dominantly collinear. Possible applications to the solar corona are discussed.

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