Hydrodynamic limit for a boundary driven stochastic lattice gas model with many conserved quantities

TL;DR

This paper proves the hydrodynamic limit for a boundary-driven stochastic lattice gas model with multiple conserved quantities, involving particles with different velocities and boundary reservoirs.

Contribution

It establishes the hydrodynamic limit for a complex particle system with multiple velocities and boundary interactions, extending previous models.

Findings

Hydrodynamic limit derived for the model.

Model includes particles with multiple velocities.

Boundary reservoirs influence the system dynamics.

Abstract

We prove the hydrodynamic limit 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.