Effective Stochastic Resonance under Heterogeneous Amplitude of Noise

TL;DR

This paper investigates how coupling two particles with different noise amplitudes can enhance stochastic resonance, showing that heterogeneity in noise can lead to more effective resonance than uniform noise models.

Contribution

The study introduces a model of coupled particles with heterogeneous noise amplitudes, demonstrating improved stochastic resonance effects over traditional single-particle or homogeneous noise models.

Findings

Heterogeneous noise amplitudes can enhance stochastic resonance.

One particle's resonance can dominate despite lower noise amplitude.

Effective resonance occurs under specific conditions with noise heterogeneity.

Abstract

Effective stochastic resonance (SR) is numerically and analytically studied using a model with coupled two particles exposed to heterogeneous, i.e., particles dependent, amplitude of noise. Compared to previous SR models of single particle and to those of coupled two particles exposed to equivalent amplitude of noise, the present model exhibits a more intensive resonance of, at least, one particle exposed to the non-larger amplitude of noise with the assistance of another particle. In a certain range of conditions, this effective resonance of one particle overwhelms the poor resonance of the other particle, meaning that heterogeneous amplitude of noise leads the system, not only locally but also in the average of the whole, to the effective SR.