Entropic Resonant Activation and Stochastic Resonance Driven by Non-Gaussian Noise

The transition rate and stochastic resonance (SR)of a Brownian particle moving in a confined systemunder the presence of entropic barriers are investigated when the system is driven by non-Gaussian noise.The explicitexpressions of the transition rate and the spectral power ampliScation (SPA)are obtained,respectively.The effects ofthe parameter q indicating the departure from the Gaussian noise and the correlation time r of the non-Gaussian noiseon the transition rate and the SPA are discussed.Research results show that:(i)The transition rate as a function of thenoise strength exhibits a maximum.This maximum for transition rate identifies the phenomenon of entropic resonantactivation (ERA),the parameter q and the noise correlation time τ weaken the ERA of the system;(ii)The curves ofSPA appear a transition from one peak to double-peak,and then to one peak again as the noise correlation time τ ofnon-Gaussian noise increases.

The transition rate and stochastic resonance （SR） of a Brownian particle moving in a confined system under the presence of entropic barriers are investigated when the system is driven by non-Gaussian noise. The explicit expressions of the transition rate and the speetrai power amplification （SPA） are obtained, respectively. The effects of the parameter q indicating the departure from the Ganssian noise and the correlation time T of the non-Gaussian noise on the transition rate and the SPA are discussed. Research results show that： （i） The transition rate as a function of the noise strength exhibits a maximum. This maximum for transition rate identifies the phenomenon of entropie resonant activation （ERA）, the parameter q and the noise correlation time T weaken the ERA of the system; （ii） The curves of SPA appear a transition from one peak to double-peak, and then to one peak again as the noise correlation time T of non-Gaussian noise increases.