Stochastic Resonance in Periodic Potentials

TL;DR

This paper demonstrates that stochastic resonance occurs in periodically driven systems with periodic potentials at high frequencies, linked to two distinct dynamical states influenced by noise and damping.

Contribution

It provides numerical evidence of stochastic resonance in periodic potentials, highlighting the role of two dynamical states and high-frequency regimes.

Findings

SR occurs in high frequency regimes of periodic potentials

Two dynamical states are crucial for SR occurrence

Maximum mobility depends on noise strength

Abstract

The phenomenon of stochastic resonance (SR) is known to occur mostly in bistable systems. However, the question of occurrence of SR in periodic potential systems is not conclusively resolved. Our present numerical work shows that the periodic potential system indeed exhibits SR in the high frequency regime, where the linear response theory yields maximum frequency dependent mobility as a function of noise strength. The existence of two (and only two) distinct dynamical states of trajectories in this moderately feebly-damped periodically driven noisy periodic potential system plays an important role in the occurrence of SR.