An equilibrium state with macroscopic correlations

TL;DR

This paper demonstrates that in certain non-reversible dynamics, the equilibrium macroscopic entropy is non-local, indicating that correlations at equilibrium extend over macroscopic distances.

Contribution

It reveals that equilibrium entropy in non-reversible Kawasaki+Glauber dynamics is a non-local functional, highlighting extended correlations at equilibrium.

Findings

Equilibrium entropy is non-local in these dynamics.

Correlations extend to macroscopic distances.

Entropy functional depends on the entire density profile.

Abstract

In this paper we show that the equilibrium macroscopic entropy of a generic non reversible Kawasaki+Glauber dynamics is a non local functional of the density. This implies that equilibrium correlations extend to macroscopic distances.