Dissipative enhancement of the response of a bistable noisy oscillator to external driving

A study of the linear response susceptibility of a noisy bistable oscillator as a function of damping is carried out using the method of moments. It is found that this dependence, counterintuitively, has a nonmonotonic character and shows a maximum when the driving frequency is comparable to the thermal interwell hopping rate. The possible mechanism responsible for the occurrence of such dissipative sensitivity enhancement is proposed.