Influence of length on the noise delayed switching of long Josephson junctions

TL;DR

This paper investigates how the length of long Josephson junctions influences noise-induced delayed switching behavior, revealing that the effect diminishes for longer junctions beyond a certain length.

Contribution

It provides new insights into the length-dependent noise delayed decay phenomenon in long Josephson junctions modeled by the sine-Gordon equation.

Findings

Noise delayed decay occurs in overdamped sine-Gordon junctions.

The effect diminishes for junctions longer than several Josephson penetration lengths.

Longer junctions do not exhibit the noise delayed switching effect.

Abstract

The transient dynamics of long overlap Josephson junctions in the frame of the sine-Gordon model with a white noise source is investigated. The effect of noise delayed decay is observed for the case of overdamped sine-Gordon equation. It is shown that this noise induced effect, in the range of small noise intensities, vanishes for junctions lengths greater than several Josephson penetration length.