  Contrary to all the 2D models, where the reconnection x-line extent is
infinitely long, we study magnetic reconnection in the opposite limit. The
scaling of the average reconnection rate and outflow speed are modeled as a
function of the x-line extent. An internal x-line asymmetry along the current
direction develops because of the flux transport by electrons beneath the ion
kinetic scale, and it plays an important role in suppressing reconnection in
the short x-line limit; the average reconnection rate drops because of the
limited active region, and the outflow speed reduction is associated with the
reduction of the $J \times B$ force, that is caused by the phase shift between
the J and B profiles, also as a consequence of this flux transport.
