Moderate Deviations for the SSEP with a Slow Bond

TL;DR

This paper establishes a moderate deviation principle for the symmetric simple exclusion process with a slow bond, enhancing understanding of fluctuations beyond typical hydrodynamic limits in this stochastic particle system.

Contribution

It provides the first moderate deviation results for SSEP with a slow bond, extending the analysis of fluctuations in this model.

Findings

Established a moderate deviation principle for the model.

Characterized the rate function for deviations.

Extended fluctuation analysis beyond hydrodynamics.

Abstract

We consider the one dimensional symmetric simple exclusion process with a slow bond. In this model, particles cross each bond at rate $N^2$, except one particular bond, the slow bond, where the rate is $N$. Above, $N$ is the scaling parameter. This model has been considered in the context of hydrodynamic limits, fluctuations and large deviations. We investigate moderate deviations from hydrodynamics and obtain a moderate deviation principle.