Hydrodynamic limit of the exclusion process in inhomogeneous media

TL;DR

This paper establishes the hydrodynamic limit for a simple exclusion process in inhomogeneous media using Gamma-convergence, providing a unified framework that encompasses recent research in the area.

Contribution

It introduces a novel approach employing Gamma-convergence to analyze hydrodynamic limits in inhomogeneous environments, unifying previous methods.

Findings

Hydrodynamic limit derived for exclusion process in inhomogeneous media

Unified approach applicable to various recent studies

Framework based on Gamma-convergence for environment analysis

Abstract

We obtain the hydrodynamic limit of a simple exclusion process in an inhomogeneous environment of divergence form. Our main assumption is a suitable version of Gamma-convergence for the environment. In this way we obtain an unified approach to recent works on the field.