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Dynamic Evolution of Current Sheets, Ideal Tearing, Plasmoid Formation and Generalized Fractal Reconnection Scaling Relations View all abstracts by submitter

K.Alkendra.P. Singh   Submitted: 2019-09-01 04:41

Magnetic reconnection may be the fundamental process allowing energystored in magnetic fields to be released abruptly, with solar flaresand coronal mass ejection being archetypal natural plasmaexamples. Magnetic reconnection is much too slow of a process to beefficient on the large scales, but accelerates once small enoughscales are formed in the system. For this reason, the fractalreconnection scenario was introduced to explain explosive events inthe solar atmosphere; it was based on the recursive triggering andcollapse via tearing instability of a current sheet originally thinnedduring the rise of a filament in the solar corona. Here we compare thedifferent fractal reconnection scenarios that have been proposed, andderive generalized scaling relations for the recursive triggering offast, 'ideal' - i.e., Lundquist number independent - tearing incollapsing current sheet configurations with arbitrary current profileshapes. An important result is that the Sweet?Parker scaling withLundquist number, if interpreted as the aspect ratio of the singularlayer in an ideally unstable sheet, is universal and does not dependon the details of the current profile in the sheet. Such a scaling,however, must not be interpreted in terms of stationary reconnection,rather it defines a step in the accelerating sequence of events of theideal tearing mediated fractal cascade. We calculate scalings for theexpected number of plasmoids for such generic profiles and realisticLundquist numbers, showing that in ideal tearing scenarios a smallernumber of plasmoids, by orders of magnitude, is generated compared tothe original fractal model.

Authors: Singh, K. A. P.; Pucci, Fulvia; Tenerani, Anna; Shibata, Kazunari; Hillier, Andrew; Velli, Marco
Projects: None

Publication Status: Available Online (The Astrophysical Journal)
Last Modified: 2019-09-04 13:25
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