Features of first passage time density function for coherent stochastic resonance in the case of two absorbing boundaries

Abstract

Coherent stochastic resonance is explained in terms of first passage time density functions. Scaling relation between first passage time density functions at resonance for different lengths of the medium is obtained. A formula for first passage time density function at resonance is derived in terms of two universal functions, which demonstrates the universal feature of coherent stochastic resonance. A simple approximate expression for first passage time density function at resonance is proposed which is shown to explain the behavior at resonance fairly accurately.