Stochastic resonance and heat fluctuations in a driven double-well system

TL;DR

This paper investigates heat fluctuations and stochastic resonance in a driven double-well system, showing that mean heat loss per cycle effectively quantifies resonance and obeys fluctuation theorems.

Contribution

It introduces heat loss as a key quantifier for stochastic resonance and analyzes its fluctuation properties in a driven double-well potential system.

Findings

Mean heat loss per cycle quantifies stochastic resonance.

Heat fluctuations exceed work fluctuations over a cycle.

Heat loss distribution obeys fluctuation theorem in steady state.

Abstract

We study a periodically driven (symmetric as well as asymmetric)double-well potential system at finite temperature. We show that mean heat loss by the system to the environment(bath) per period of the applied field is a good quantifier of stochastic resonance. It is found that the heat fluctuations over a single period are always larger than the work fluctuations. The observed distributions of work and heat exhibit pronounced asymmetry near resonance. The heat losses over a large number of periods satisfies the conventional steady-state fluctuation theorem, though different relation exists for this quantity.