Thermodynamic uncertainty relations for many-body systems with fast jump rates and large occupancies

TL;DR

This paper develops a universal large-N theory for nonequilibrium fluctuations in many-body systems with fast jump rates and large occupancies, deriving thermodynamic uncertainty relations that improve bounds on entropy production.

Contribution

It introduces a coarse-grained thermodynamic uncertainty relation framework applicable to many-body systems, including a tighter activity bound for entropy production in 1D.

Findings

Derived a set of thermodynamic uncertainty relations for large-N systems.

Identified activity as a tighter bound for entropy production in 1D systems.

Provided a universal theory applicable to systems with fast jump rates and large occupancies.

Abstract

A universal large $\mathcal{N}$ theory of nonequilibrium fluctuations emerges in the limit of fast jump rates and large occupancies. We use this theory to derive a set of coarse grained thermodynamic uncertainty relations (TUR) -- one of them being an activity bound. Importantly, the activity serves as a tighter bound for the entropy production in 1D systems. These results are particularly useful in the many-body regime, where typically a coarse grained approach is required to handle the large microscopic state space.