Nonequilibrium Detailed Fluctuation Theorem for Repeated Discrete Feedback

TL;DR

This paper generalizes the detailed fluctuation theorem to include repeated discrete feedback, accounting for measurement-induced uncertainty changes, and extends related nonequilibrium work relations.

Contribution

It introduces a new detailed fluctuation theorem framework that incorporates measurement feedback and uncertainty, advancing nonequilibrium thermodynamics theory.

Findings

Derived a generalized detailed fluctuation theorem with feedback.

Extended the nonequilibrium work fluctuation theorem.

Extended the relative-entropy work relation.

Abstract

We extend the framework of forward and reverse processes commonly utilized in the derivation and analysis of the nonequilibrium work relations to thermodynamic processes with repeated discrete feedback. Within this framework, we derive a generalization of the detailed fluctuation theorem, which is modified by the addition of a term that quantifies the change in uncertainty about the microscopic state of the system upon making measurements of physical observables during feedback. As an application, we extend two nonequilibrium work relations: the nonequilibrium work fluctuation theorem and the relative-entropy work relation.