Finite size corrections to the large deviation function of the density in the one dimensional symmetric simple exclusion process

TL;DR

This paper derives the leading finite size correction to the large deviation functional of density in the 1D symmetric simple exclusion process, enhancing understanding of finite-size effects in out-of-equilibrium systems.

Contribution

It provides the first explicit calculation of finite size corrections to the large deviation functional in the symmetric simple exclusion process.

Findings

Finite size correction explicitly derived for the large deviation functional.

Comparison made between out-of-equilibrium and equilibrium systems.

Results improve understanding of finite-size effects in statistical mechanics.

Abstract

The symmetric simple exclusion process is one of the simplest out-of-equilibrium systems for which the steady state is known. Its large deviation functional of the density has been computed in the past both by microscopic and macroscopic approaches. Here we obtain the leading finite size correction to this large deviation functional. The result is compared to the similar corrections for equilibrium systems.