The transition rate of a double well system driven by cross-correlated noises

The transition rate of a double well system driven by cross-correlated noises has been investigated, in when the correlation times between the noises are nonzero. From numerical computation, we find followings: (1) The transition rate decreases as the lambda (lambda is the strength of the correlations between noises) increases. (2) The transition rate increases as the tau (tau is the correlation time between noises) increases. It imglies that tau and lambda play opposite roles in the transition rate of the system (3). For the case of perfectly correlated noises (lambda = 1), there is no the suppressed phenomenon in the double well system with cross-correlated noise sources.