Equilibrium fluctuations for gradient exclusion processes with conductances in random environments

TL;DR

This paper investigates the equilibrium fluctuations of a gradient exclusion process with conductances in random environments, establishing a central limit theorem for particle distribution in equilibrium.

Contribution

It introduces a novel analysis of exclusion processes with random conductances, extending fluctuation results to more complex, disordered environments.

Findings

Established a central limit theorem for the empirical distribution of particles.

Demonstrated the impact of random conductances on fluctuation behavior.

Provided a rigorous mathematical framework for equilibrium fluctuations in disordered media.

Abstract

We study the equilibrium fluctuations for a gradient exclusion process with conductances in random environments, which can be viewed as a central limit theorem for the empirical distribution of particles when the system starts from an equilibrium measure.