Whistler-mediated magnetic reconnection in large systems: Magnetic flux pileup and the formation of thin current sheets

[1] We compute numerical solutions of the resistive Hall MHD equations corresponding to pairwise magnetic island coalescence. The simulation results can be organized according to the relative sizes of three length scales: the electron dissipation length, l(e); the ion inertial length, d(i); and the island wavelength, lambda. We identify three qualitatively distinct regimes of magnetic island coalescence: (1) the resistive MHD limit, d(i) less than or similar to l(e) << lambda; (2) the whistler-mediated'' limit, l(e) << d(i) << lambda; and (3) the whistler-driven'' limit, l(e) << lambda less than or similar to d(i). In the resistive MHD limit, magnetic flux piles up outside thin current sheets between the islands. The upstream Alfven speed increases with increasing Lundquist number, and the reconnection rate is insensitive to the Lundquist number. In the whistler-driven limit, the electron and ion bulk flows decouple on the island wavelength scale. Magnetic flux pileup does not occur, and the coalescence proceeds on a whistler timescale that is much shorter than the Alfven time. In the whistler-mediated limit, electron and ion bulk flows decouple in spatially localized ion inertial sheets'' around the island separatrices. Flux pileup is reduced, and the upstream Alfven speed approaches a nearly constant value as the Lundquist number is increased. The maximum reconnection rate in the whistler-mediated limit is comparable to that observed in the resitive MHD limit over the Lundquist number range 500 < S-lambda < 10000.