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

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 $\theta$.