Structure and Orientation of the Moving Vortex Lattice in Clean Type II   Superconductors
  The dynamics of moving vortex lattice is considered in the framework of the time dependent Ginzburg - Landau equation neglecting effects of pinning. At high flux velocities the pinning dominated dynamics is expected to cross over into the interactions dominated dynamics for very clean materials recently studied experimentally. The stationary lattice structure and orientation depend on the flux flow velocity. The vortex lattice will have a different orientation for V>V_c. The two orientations can be desribed as motion "in channels" and motion of "lines of vortices perpendicular to the direction of motion. Although we start from the lowest Landau level approximation, corrections to conductivity and the vortex lattice energy dissipation from higher Landau levels are systematically calculated and compared to a recent experiment. 
Dingping Li, Andrey M. Malkin and Baruch Rosenstein