Fluctuation theorems and thermodynamic uncertainty relations

TL;DR

This paper derives a new thermodynamic uncertainty relation from fluctuation theorems that applies to non-cyclic, non-time-reversal protocols, linking entropy-observable correlations in non-equilibrium thermodynamics.

Contribution

It introduces a novel thermodynamic uncertainty relation based on fluctuation theorems, extending applicability to broader non-equilibrium processes.

Findings

Derived a new thermodynamic uncertainty relation.

Applicable to non-cyclic, non-time-reversal protocols.

Explored the relation between entropy and observable correlations.

Abstract

Fluctuation theorems are fundamental results in non-equilibrium thermodynamics. Considering the fluctuation theorem with respect to the entropy production and an observable, we derive a new thermodynamic uncertainty relation which also applies to non-cyclic and time-reversal non-symmetric protocols. Furthermore, we investigate the relation between the thermodynamic uncertainty relation and the correlation between the entropy and the observable.