Non-equilibrium fluctuations for SEP($\alpha$) with open boundary

TL;DR

This paper studies the non-equilibrium fluctuations of the SEP(α) process with open boundaries, extending previous results to all reservoir strengths, and explores how the process behaves under different boundary conditions.

Contribution

It generalizes the analysis of non-equilibrium fluctuations for SEP(α) to include all reservoir strength parameters, broadening the understanding of boundary effects.

Findings

Extended fluctuation results to all reservoir parameters θ.

Unified framework for SEP(α) with open boundaries.

Connections to previous specific cases for α=1.

Abstract

We analyze the non-equilibrium fluctuations of the partial symmetric simple exclusion process, SEP($\alpha$), which allows at most $\alpha \in \mathbb{N}$ particles per site, and we put it in contact with stochastic reservoirs whose strength is regulated by a parameter $\theta \in \mathbb{R}$. Setting $\alpha = 1$, we find the results of [22, 16, 17] and extend the known results to cover all range of $\theta$.