Escape of Brownian particles in a bistable sawtooth potential driven by correlated white noises

An exact analytic expression of the relative escape rate (RER) for Brownian particles in a bistable sawtooth potential driven by correlated white nois es is obtained. It is found that the RER vs. R (the multiplicative to the a dditive noise intensities ratio) exhibits a suppression platform for positi ve correlation, whereas the resonant activation and suppression platform ap pear successively for negative correlation. The mechanism of the present ph enomena is explained. The effects of a nonlinear potential on the RER are s tudied. We have numerically calculated the RER of the system under a parabo lic potential and a quartic potential and have compared the differences of the RER in the case of the linear potential and the one of the nonlinear po tential.