New Characterization of Stochastic Resonance in Bistable Square Potential Well

The features of first passage time density function is analysed theoretically in a symmetric double square well system modulated periodically with a signal of arbitrary amplitude and frequency. Resonance is demonstrated as a maximum synchronization between periodic signal and noise. Resonance is characterized as a linear relation between noise strength at resonance and frequency. This characterization is shown to hold good for amplitude lesser or greater than the depth of the unmodulated potential well. The mean first passage time of the process at resonance is also shown to decrease linearly with the strength of the noise for high amplitude of the signal while it increases linearly with inverse of the noise strength for low amplitude.