Josephson junction with noise

Abstract
We analyze the voltage-current characteristics of a Josephson junction subject to multiplicative noise with and without additive noise. An analytical solution was obtained for the dichotomous multiplicative noise as well as for the forms of the voltage-current characteristics for different noise amplitudes and rates. Nonmonotonic behavior was found for the voltage as a function of noise rate (stochastic resonance). The cooperative action of additive and multiplicative noises results in a voltage larger than that predicted from Ohm’s law. The ratchet effect and limit cases of weak and strong noises are analyzed in detail.