Large deviations of the empirical currents for a boundary driven reaction diffusion model

TL;DR

This paper establishes a large deviation principle for empirical currents in a boundary-driven reaction-diffusion lattice gas model, integrating fast stirring, creation/annihilation, and boundary effects.

Contribution

It extends previous density large deviation results by deriving a comprehensive large deviation principle for empirical currents, including boundary-driven external forces.

Findings

Large deviation principle for empirical currents derived

Inclusion of boundary-driven external forces in the model

Connection to previous density large deviation results

Abstract

We derive a large deviation principle for the empirical currents of lattice gas dynamics which combine a fast stirring mechanism (Symmetric Simple Exclusion Process) and creation/annihilation mechanisms (Glauber dynamics). Previous results on the density large deviations can be recovered from this general large deviation principle. The contribution of external driving forces due to reservoirs at the boundary of the system is also taken into account.