Relation between Stochastic Resonance and Synchronization of Passages in a Double-Well System

TL;DR

This paper investigates how stochastic resonance influences the synchronization of particle transitions in a double-well system, using numerical analysis of residence times and hysteresis loop areas to quantify the relationship.

Contribution

It establishes a connection between stochastic resonance and synchronization of passages, introducing hysteresis loop area as a measure of this synchronization.

Findings

Hysteresis loop area correlates with synchronization of transitions.

Stochastic resonance enhances passage synchronization.

Numerical analysis links resonance with hysteresis behavior.

Abstract

We calculate, numerically, the residence times (and their distribution) of a Brownian particle in a two-well system under the action of a periodic, saw-tooth type, external field. We define hysteresis in the system. The hysteresis loop area is shown to be a good measure of synchronization of passages from one well to the other. We establish connection between this stochastic synchronization and stochastic resonance in the system.