Escape over fluctuating potential barrier with complicated dichotomous noise

Abstract

In this paper, we report a kind of complicated dichotomous noise and investigate the escape over the fluctuating potential barrier for the one-dimensional process driven by this ‘complicated dichotomous noise’. The study shows that the mean first passage time for a particle over the fluctuating potential barrier exhibits the resonant activation as the function of the transition rate of the complicated dichotomous noise. The effect of the parameters of this complicated dichotomous noise on the resonant activation is studied. In addition, a kind of more complicated dichotomous noise is introduced in the appendices.