Does the resistive tearing instability nonlinearly evolve to a fast reconnection mode

Details Does the resistive tearing instability nonlinearly evolve to a fast reconnection mode Does the resistive tearing instability nonlinearly evolve to a fast reconnection mode

Nov 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988fnsm.work..224s&link_type=abstract

In NASA, Goddard Space Flight Center, Max 1991: Flare Research at the Next Solar Maximum. Workshop 1: Scientific Objectives p 22

Mathematics

Mathematical Models, Reattached Flow, Solar Flares, Tearing Modes (Plasmas), Diffusion, Nonlinearity, Vortices

Scientific paper

A fundamental problem in applying linear tearing instability theory to the rapid processes (particle acceleration, heating) in flares was the characteristically slow rate of reconnection. This problem can be at least partially overcome if the tear in mode nonlinearly evolves to a regime in which the reconnection rate is substantially enhanced, such as that for the Petschek configuration. This possibility was often suggested, and some numerical simulations appear to provide support for such a view. Numerical simulation are used to study the nonlinear evolution of the tearing stability and show that a fast Petschek-like regime may not be achieved. This conclusion follows when there are sufficient grid points within the diffusion region to completely resolve the nonlinear dynamic interactions in the diffusion layer. When the numerical resolution is not adequate, the solution does appear to approach a Petschek configuration. The resolved solution contains reverse flow vortices and current sheets, terminated with a current reversal, similar to those obtained by Syrovatsky (JEPT, 33, 933, 1971).

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