The Multiple Phase Slip Phenomena in the Narrow Superconducting Channels

Abstract

The current voltage characteristic of the narrow superconducting channel is investigated by direct numerical integration of the time-dependent Ginzburg Landau equations. We have demonstrated that the steps in the current voltage characteristic correspond to a number of di erent bifurcation points of the time-dependent Ginzburg Landau equations. We have analytically estimated the period and the averaged voltage of the oscillating solution for the relatively small currents. We have also found the range of currents where the system transforms to the chaos.