  We use three-dimensional molecular dynamics simulations of magnetically
interacting pancake vortices to study the dynamic phases of vortex lattices in
highly anisotropic materials such as BSCCO. Our model treats the magnetic
interactions of the pancakes exactly, with long-range logarithmic interactions
both within and between planes. The pancake vortices decouple at low drives and
show two-dimensional plastic flow. The vortex lattice both recouples and
reorders as the driving current is increased, eventually forming a recoupled
crystalline-like state at high drives. We construct a phase diagram as a
function of interlayer coupling and show the relationship between the
recoupling transition and the single-layer reordering transitions.
