Life time of superconductive state in long overlap Josephson junction

TL;DR

This paper uses computer simulations to study how the lifetime of the superconductive state in long Josephson junctions varies with length and current distribution, revealing key dependencies and behaviors.

Contribution

It demonstrates the impact of junction length and current distribution on the mean lifetime of the superconductive state using sine-Gordon model simulations.

Findings

MLT increases with junction length for constant critical current density

MLT tends to a constant for homogeneous bias current

MLT decreases quickly with inhomogeneous current distribution

Abstract

The computer simulations of fluctuational dynamics of the long overlap Josephson junction in the frame of the sine-Gordon model with a white noise source have been performed. It has been demonstrated that for the case of constant critical current density the mean life time (MLT) of superconductive state increases with increasing the junction's length and for homogeneous bias current distribution MLT tends to a constant, while for inhomogeneous current distribution MLT quickly decreases after approaching of a few Josephson lengths. The mean voltage versus junction length behaves inversely in comparison with MLT.