Non-equilibrium fluctuations for SEP(α) with open boundary

Abstract

We analyze the non-equilibrium fluctuations of the partial symmetric simple exclusion process, SEP($\alpha$), which allows at most $\alpha \in N$ particles per site, and we put it in contact with stochastic reservoirs whose strength is regulated by a parameter $\theta \in R$. Setting $\alpha =1$, we find the results of Landim et al. (2008), Franco et al. (2019) and Gonçalves et al. (2020) and extend the known results to cover all range of $\theta$.