Single-vortex dynamics in overdamped Josephson junction ladders

Abstract

The single-vortex dynamics in ladders of overdamped Josephson junctions is investigated by means of numerical simulations. We derive the velocity (v), the coefficient of viscosity and the height of the dynamical barrier for the cell-to-cell vortex motion as functions of the bias current , the magnetic field penetration depth and the vortex position (x). The vortex dynamics can be satisfactorily described in terms of the motion of a particle subjected to a potential , the form of which is analysed.