Two dimensional simulations of collisionless magnetic reconnection produce
strong gradients in the current and plasma profiles near the magnetic X-lin
e and along the separatrix during the nonlinear phase. Here we present 3D t
wo-fluid MHD simulations of reconnection that show these sharp gradients br
eak up due to the onset of secondary instabilities, leading to a strongly t
urbulent configuration in the full 3D system. Two main secondary modes are
observed, an electron shear flow instability and the lower-hybrid drift ins
tability. The fluctuations driven by the former mode produce an effective a
nomalous viscosity (but no resistivity) near the X-line that breaks the fro
zen-in condition and broadens the main current profile. The lower-hybrid dr
ift fluctuations cause a substantial relaxation of the gradients near the s
eparatrix through a new mechanism, based not on direct particle transport (
which is negligible) but rather on the turbulent diffusion of the strong el
ectron flows near the separatrix.