# Time-reversal symmetric Crooks and Gallavotti-Cohen fluctuation relations in driven classical Markovian systems

## TL;DR

This paper explores the connections between finite-time and infinite-time fluctuation theorems in driven classical Markovian systems, emphasizing time-reversal symmetry and potential experimental tests.

## Contribution

It uncovers the relationships between different fluctuation relations and their time-reversal symmetric versions using classical Markovian models.

## Key findings

- Relations between finite-time and infinite-time fluctuation theorems are established.
- Time-reversal symmetric versions of fluctuation relations are derived.
- Implications for experimental verification are discussed.

## Abstract

In this paper, we address an important question of the relationship between fluctuation theorems for the dissipated work $W_{d} = W-\Delta F$ with general finite-time (like Jarzynski equality and Crooks relation) and infinite-time (like Gallavotti-Cohen theorem) drive protocols and their time-reversal symmetric versions. The relations between these kinds of fluctuation relations are uncovered based on the examples of a classical Markovian $N$-level system. Further consequences of these relations are discussed with respect to the possible experimental verifications.