Enhancement of Stochastic Resonance in distributed systems due to a selective coupling

TL;DR

This paper demonstrates that in distributed systems, selective coupling with field-dependent diffusivity more effectively enhances stochastic resonance than uniform diffusivity, supported by numerical and analytical methods.

Contribution

It introduces the concept that selectivity in coupling, combined with field-dependent diffusivity, improves stochastic resonance in distributed systems, extending previous uniform diffusivity models.

Findings

Selective coupling outperforms uniform coupling in enhancing stochastic resonance.

Field-dependent diffusivity yields greater resonance enhancement.

Analytical and numerical results confirm the effectiveness of selectivity.

Abstract

Recent massive numerical simulations have shown that the response of a "stochastic resonator" is enhanced as a consequence of spatial coupling. Similar results have been analytically obtained in a reaction-diffusion model, using "nonequilibrium potential" techniques. We now consider a field-dependent diffusivity and show that the "selectivity" of the coupling is more efficient for achieving stochastic-resonance enhancement than its overall value in the constant-diffusivity case.