Synchronization under periodic modulation of potential wells in a two-state stochastic system

TL;DR

This paper analytically investigates how noise and periodic signals synchronize in a two-state stochastic system, revealing resonance phenomena and how noise strength and process timescale depend linearly on signal frequency and period.

Contribution

It provides an analytical demonstration of resonance effects and the linear relationship between noise strength, timescale, and signal parameters in a two-state stochastic system.

Findings

Resonance features are demonstrated in the system.

Maximum cooperation occurs when noise strength increases linearly with signal frequency.

The process timescale increases linearly with the signal period.

Abstract

We analyse the effect of synchronization between noise and periodic signal in a two-state spatially extended system analytically. Resonance features are demonstrated. To have the maximum cooperation between signal and noise, it is shown that noise strength at resonance should increase linearly with the frequency of the signal. The time scale of the process at resonance is also shown to increase linearly with the period of the signal.