A Strong Limitation on the Rapidity of Flux-Pile-Up Reconnection

Details A Strong Limitation on the Rapidity of Flux-Pile-Up Reconnection A Strong Limitation on the Rapidity of Flux-Pile-Up Reconnection

Aug 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996soph..167..445l&link_type=abstract

Solar Physics, Volume 167, Issue 1-2, pp. 445-448

Physics

20

Scientific paper

The reconnection rate which can be achieved in the steady-state flux-pile-up regime is severely limited by the gas pressure of the plasma. Using the family of solutions obtained previously by Priest and Forbes, we show that the Alfvén Mach number of the plasma flowing towards the reconnection site cannot exceed πβ e/(8 ln R me), where β e and R me are the plasma β and magnetic Reynolds numbers at large distance. This limit corresponds to a very weak flux-pile-up, and it is a factor of β e slower than the maximum Petschek rate. Thus the maximum flux-pile-up reconnection rate in the corona is at least two orders of magnitude smaller than the rate implied by flare observations.

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