Stochastic resonance in bistable confining potentials. On the role of confinement

TL;DR

This paper investigates how different confining potentials influence stochastic resonance in bistable systems, showing that the resonance sharpens with harder potentials and diminishes with softer ones.

Contribution

It introduces a model using diverging double-well potentials to analyze the impact of confinement on stochastic resonance in continuous bistable systems.

Findings

SR peak sharpens with increasing q in super-harmonic potentials

SR peak gets suppressed in sub-harmonic potentials

Confinement strength significantly affects SR behavior

Abstract

We study the effects of the confining conditions on the occurrence of stochastic resonance (SR) in continuous bistable systems. We model such systems by means of double-well potentials that diverge like the q-th power of |x| when |x| goes to infinite. For super-harmonic (hard) potentials with q > 2 the SR peak sharpens with increasing q, whereas for sub-harmonic (soft) potentials, q < 2, it gets suppressed.