Effect of thermal fluctuations on dynamics of small Josephson junctions

In this study, we carried out the analysis of the thermal fluctuations on the dynamics of small Josephson junction (JJ). An expression for the fluctuation of Coulomb blockade edge in the case of low and high growing rate of voltage was obtained. It was shown that dynamics of small-sized JJ under thermal fluctuations is determined by the energy ratio-parameter, temperature and growing rate of voltage.