Vortex motion in charged and neutral superfluids: A hydrodynamic approach

Abstract

We derive a Galilean invariant expression for the electric field induced by a vortex moving through a charged superfluid at $T=0$, which holds for any superconductor, from the dirty to the superclean limit. The contribution of different areas around the vortex to the average electric field and to the charge distribution is analyzed. The results are extended to a neutral system, where the chemical potential takes over the role of the electrostatic potential in the charged situation. Different contributions to the vortex mass in charged and neutral superfluids are brought together for comparison and discussion.