Total entropy production fluctuation theorems in a nonequilibrium time-periodic steady state

TL;DR

This paper demonstrates that in a nonequilibrium time-periodic steady state, the total entropy production of a driven Brownian particle adheres to fluctuation theorems, confirming theoretical predictions in a stochastic resonance context.

Contribution

It establishes the validity of Seifert's fluctuation theorems for total entropy production in a driven bistable system under periodic steady state conditions.

Findings

Total entropy production obeys fluctuation theorems in a time-periodic steady state.

The system exhibits stochastic resonance behavior.

Fluctuation theorems hold over finite time trajectories.

Abstract

We investigate the total entropy production of a Brownian particle in a driven bistable system. This system exhibits the phenomenon of stochastic resonance. We show that in the time-periodic steady state, the probability density function for the total entropy production satisfies Seifert's integral and detailed fluctuation theorems over finite time trajectories.