arXiv subjects

B. Salvador

Publications and source records attributed to B. Salvador.

2 recordsLinked to original sources

arXiv2024

On the correlations of some microscopic random systems

We investigate the two-points correlation function for several boundary-driven interacting particle systems. Our goal is to show that the time evolution of that correlation function is solution to a partial differential equation that can be written in terms of the generator of a two-dimensional random walk, whose jump rates are model dependent. From this, we deduce an asymptotic independence which is shared by many models.

math.PR↗

arXiv2023

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

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

math.PR↗