Current sheet configurations in potential and force-free fields.

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Magnetic Fields, Mhd, Methods: Analytical, Sun: Magnetic Fields

Scientific paper

Using complex variables and the method of conformal mappings, an analytical expression is produced for the possible configurations of constant-current, force-free or magnetostatic magnetic fields in the neighbourhood of a linear current sheet. The configurations obtained include the well-known potential solutions of Green and Syrovatskii as special cases. New potential and force-free solutions possess asymmetry along the current sheet and a closing over of the field lines for the force-free case.

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