Non-Adiabatic Distortion In The Current Distribution Around A Moving   Vortex
  We study the phase distribution around a vortex in uniform motion. We consider both the cases of neutral and charged superfluids. The motion of the vortex causes the density of the system to fluctuate. This in turn produces a compensating current, thus ensuring current conservation locally. We explicitly calculate this current. 
D.M. Gaitonde