# Generic Properties of Stochastic Entropy Production

## TL;DR

This paper derives a universal stochastic differential equation for entropy production in nonequilibrium systems, revealing generic properties and an exact uncertainty relation that hold across different models and conditions.

## Contribution

It introduces a random-time transformation that simplifies entropy production analysis and establishes a model-independent drift-diffusion equation.

## Key findings

- Entropy production follows a universal one-dimensional drift-diffusion process.
- An exact uncertainty equality links the Fano factors of entropy production and random time.
- The results are valid beyond steady-state conditions.

## Abstract

We derive an Ito stochastic differential equation for entropy production in nonequilibrium Langevin processes. Introducing a random-time transformation, entropy production obeys a one-dimensional drift-diffusion equation, independent of the underlying physical model. This transformation allows us to identify generic properties of entropy production. It also leads to an exact uncertainty equality relating the Fano factor of entropy production and the Fano factor of the random time, which we also generalize to non steady-state conditions.