Fluctuating Relativistic hydrodynamics from Crooks theorem

TL;DR

This paper develops a bottom-up theory of relativistic hydrodynamic fluctuations using Crooks theorem and Zubarev hydrodynamics, providing estimates for limits on transport coefficients through thermodynamic uncertainty relations.

Contribution

It introduces a novel approach combining fluctuation theorems with hydrodynamics to analyze fluctuations and bounds in relativistic fluids.

Findings

Derived a hydrodynamic fluctuation theory from Crooks theorem.

Estimated lower bounds on dissipative transport coefficients.

Connected thermodynamic uncertainty relations with hydrodynamic fluctuations.

Abstract

We use the Crooks fluctuation theorem together with Zubarev hydrodynamics to develop a bottom-up theory of hydrodynamic fluctuations. We also use thermodynamic uncertainity relations to estimate bottom-up limits to dissipative transport coefficients.