Abstract
The rate of the phase-slip in an overdamped Josephson junction in the presence of both the thermal quasiparticle noise and the critical current fluctuations is calculated. Dramatic increase of the standard Kramers rate is predicted for large intensity of the critical current noise. For a temperature-independent noise intensity, produced by quantum ionic tunneling processes in the junction barrier, significant departures from the Arrhenius law take place in the T-dependence of the rates below a characteristics temperature which may exceed the temperature for the crossover from the thermal activation to the macroscopic quantum tunneling.
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