Non-equilibrium fluctuations for SEP($\hat{I}\pm$) with open boundary

Abstract

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

45 pages, 4 figures