Dynamical large deviations for a boundary driven stochastic lattice gas model with many conserved quantities

TL;DR

This paper establishes the dynamical large deviations principle for a boundary-driven stochastic lattice gas model with multiple conserved quantities, involving particles with different velocities and boundary reservoirs.

Contribution

It introduces a large deviations framework for a weakly asymmetric exclusion process with velocity collisions and boundary reservoirs, extending previous models to include multiple conserved quantities.

Findings

Proved dynamical large deviations for the model.

Extended large deviations theory to systems with multiple velocities.

Analyzed effects of boundary reservoirs on particle dynamics.

Abstract

We prove the dynamical large deviations for a particle system in which particles may have different velocities. We assume that we have two infinite reservoirs of particles at the boundary: this is the so-called boundary driven process. The dynamics we considered consists of a weakly asymmetric simple exclusion process with collision among particles having different velocities.