Mathematics – Logic
Scientific paper
May 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011spd....42.1748e&link_type=abstract
American Astronomical Society, SPD meeting #42, #17.48; Bulletin of the American Astronomical Society, Vol. 43, 2011
Mathematics
Logic
Scientific paper
The coronal magnetic field structure is an immensely complex system constantly driven away from equilibrium by global drivers such as photospheric flow, flux emergence/cancellation at the lower boundary, helicity injection and transport, etc. In low-beta plasma systems, such as solar corona, the Maxwell stresses dominate forces and therefore the system dynamics. General Poynting stress injection (i.e., flux injection, helicity injection, translational motions, or any combination thereof) results in (possibly large) geometric deformations of the magnetic field, such that the Maxwell stresses distribute as uniformly as possible, constrained by the distorted geometry and topology of the bounding separatricies. Since the topological connectivity is discontinuous across these separatrix surfaces, the magnetic stresses will be discontinuous there as well, manifesting as current sheets within the field.
The solar magnetic field undergoes major geometric expansion passing from the photosphere, through the chromosphere, into the corona. No matter the specific details, a mixed polarity distribution at the lower boundary and the divergence-free condition require invariant topological features such as an X-line and separatricies to exist between fields emanating from separate regions of the photosphere. We present the results of fully-3D numerical simulations of a simplified low-beta model of this field expansion. A symmetric injection of Maxwell stresses into this geometry inflates strongly line-tied fields, generating a region of large current densities and magnetic energy dissipation. Elsewhere the injected stresses accumulate along the existing separatricies. There is no evidence of reconnection dynamics until after the initial left-right parity is broken. Once the symmetry breaks, the X-line deforms explosively into a Syrovatskii-type current sheet, leading to a succession of quasi-homologous jet dynamics. The bursty-oscillations of these jets occur as the stresses within the low-lying arcades are alternately relived by reconnection. These results have applications to jet activity in the low-corona, and general lower-coronal boundary dynamics.
Edmondson Justin K.
Velli M. M.
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