Three detailed fluctuation theorems

TL;DR

This paper demonstrates that the total, adiabatic, and non-adiabatic entropy productions in nonequilibrium systems each independently obey detailed fluctuation theorems, enhancing understanding of entropy dynamics.

Contribution

It introduces three detailed fluctuation theorems for different components of entropy production, clarifying their individual fluctuation properties.

Findings

Each entropy component satisfies a detailed fluctuation theorem.

The total, adiabatic, and non-adiabatic entropy productions are separately governed by fluctuation theorems.

The results deepen the theoretical understanding of entropy fluctuations in nonequilibrium systems.

Abstract

The total entropy production of a trajectory can be split into an adiabatic and a non-adiabatic contribution, deriving respectively from the breaking of detailed balance via nonequilibrium boundary conditions or by external driving. We show that each of them, the total, the adiabatic and the non-adiabatic trajectory entropy, separately satisfies a detailed fluctuation theorem.