Stochastic resonance in a non-Poissonian dichotomous process: A new analytical approach

In this paper we present a new approach to evaluate the average of a function of a stochastic variable in the case of a non-Poissonian dichotomous process. We show that using a two-point correlation function approximation we can explore the asymptotic regime with great precision. We apply our approach to study the phenomenon of stochastic resonance. As an example we consider a resistor-capacitor circuit with a stochastic capacitance C and driven by a periodic voltage. We provide an analytical expression for the average charge in the stationary regime and we show that the amplitude of the average charge, and consequently of the average current, displays the phenomenon of stochastic resonance.