Rate of convergence to equilibrium of symmetric simple exclusion processes

TL;DR

This paper provides improved bounds on the rate at which the symmetric simple exclusion process on ^d converges to equilibrium, using a unified approach that compares interacting particles with independent ones.

Contribution

It introduces a unified method to derive better convergence bounds and extends the class of initial states considered for the symmetric simple exclusion process.

Findings

Enhanced bounds on convergence rates compared to previous results

Applicable to a larger class of initial states

Method compares interacting particles with independent particles over time

Abstract

We give bounds on the rate of convergence to equilibrium of the symmetric simple exclusion process in $\Z^d$. Our results include the existent results in the literature. We get better bounds and larger class of initial states via a unified approach. The method includes a comparison of the evolution of n interacting particles with n independent ones along the whole time trajectory.