Effect of normal current on kinematic vortices

Within the framework of time-dependent Ginzburg-Landau theory, we discuss an effect of the non-magnetic interaction between the normal current and the supercurrent in the phase-slip regime. The correction due to the current-current interaction is shown to have a transient character so that it contributes only as a system evolves. Numerical analyses for thin layers with no magnetic feedback show that the largest contribution of the current-current interaction appears near sample edges, where kinematic vortices reach maximum velocity.