On sheared magnetic field structures containing neutral points

Statistics – Computation

Scientific paper

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Current Sheets, Magnetic Field Configurations, Magnetohydrodynamic Shear Heating, Solar Magnetic Field, Computational Astrophysics, Current Distribution, Force-Free Magnetic Fields

Scientific paper

This paper discusses the occurrence of current sheets near the separatrix in sheared magnetic field structures containing an X-type neutral point, as suggested by a number of previous authors. The present approach is based on self-consistent theory. In analogy to the theory of quasi-static convection by Grad (1964), the break-down of the quasi-static theory near the separatrix is interpreted as evidence for the occurrence of a boundary layer. In particular, this picture suggests large (however integrable) current sheets, with the current flowing parallel to the poloidal magnetic field. This concept is also tested by numerical computations. Here the discretization procedure simulates those physical effects that in a real case would keep the current from becoming infinitely large. The results fully confirm the formation of current sheets. These findings have potential applications to energy storage for solar flares and to the heating of the solar corona.

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