Stabilization Effects of Dichotomous Noise on the Lifetime of theSuperconducting State in a Long Josephson Junction

We investigate the superconducting lifetime of a long overdamped current-biasedJosephson junction, in the presence of telegraph noise sources. The analysis is performed byrandomly choosing the initial condition for the noise source. However, in order to investigatehow the initial value of the dichotomous noise affects the phase dynamics, we extend ouranalysis using two different fixed initial values for the source of random fluctuations. In ourstudy, the phase dynamics of the Josephson junction is analyzed as a function of the noisesignal intensity, for different values of the parameters of the system and external drivingcurrents. We find that the mean lifetime of the superconductive metastable state as a functionof the noise intensity is characterized by nonmonotonic behavior, strongly related to thesoliton dynamics during the switching towards the resistive state. The role of the correlationtime of the noise source is also taken into account. Noise-enhanced stability is observed inthe investigated system