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Current Sheets Formation in Tangled Coronal Magnetic Fields  

Antonio Rappazzo   Submitted: 2013-07-01 00:26

We investigate the dynamical evolution of magnetic fields in closed regions of solar and stellar coronae. To understand under which conditions current sheets form, we examine dissipative and ideal reduced magnetohydrodynamic models in cartesian geometry, where two magnetic field components are present: the strong guide field B0, extended along the axial direction, and the dynamical orthogonal field mathbf{b}. Magnetic field lines thread the system along the axial direction, that spans the length L, and are line-tied at the top and bottom plates. The magnetic field b initially has only large scales, with its gradient (current) length-scale of order ell_b. We identify the magnetic intensity threshold b/B_0 sim ell_b/L. For values of b below this threshold, field-line tension inhibits the formation of current sheets, while above the threshold they form quickly on fast ideal timescales. In the ideal case, above the magnetic threshold, we show that current sheets thickness decreases in time until it becomes smaller than the grid resolution, with the analyticity strip width delta decreasing at least exponentially, after which the simulations become under-resolved.

Authors: A. F. Rappazzo, E. N. Parker
Projects: None

Publication Status: ApJ Letters, in press
Last Modified: 2013-07-01 09:05
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