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 nois es has been investigated, in when the correlation times between the noises are nonzero. From numerical computation, we find followings: (1) The transi tion rate decreases as the lambda (lambda is the strength of the correlatio ns 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). F or the case of perfectly correlated noises (lambda = 1), there is no the su ppressed phenomenon in the double well system with cross-correlated noise s ources.