Bona fide Stochastic Resonance: A view point from stochastic energetics

TL;DR

This paper explores stochastic resonance in an overdamped Brownian particle within a bistable potential, demonstrating resonance behavior as a function of noise strength and driving frequency, and highlighting marginal supra-threshold stochastic resonance.

Contribution

It extends previous work by analyzing the resonance behavior as a function of driving frequency and identifies bona fide stochastic resonance from a stochastic energetics perspective.

Findings

Resonance behavior observed as a function of noise strength.

Nonmonotonic response as a function of driving frequency.

Identification of marginal supra-threshold stochastic resonance.

Abstract

We investigate the resonance type behaviour of an overdamped Brownian particle in a bistable potential driven by external periodic signal. It has been shown previously that the input energy pumped into the system by the external drive shows resonance type behaviour as function of noise strength. We further extend this idea to study the behaviour as function of frequency of the external driving force and show the occurrence of similar nonmonotonic behaviour, which can be ascribed as a signature of bona fide stochastic resonance. Both weak and strong driving limit has been explored indicating the occurrence of marginal supra-threshold stochastic resonance in a bistable potential system.