Luiz Renato Fontes, Tiecheng Xu
Published 2021-11-16, updated 2023-06-01Version 3
Consider the weakly asymmetric simple exclusion processes on the one-dimensional torus. We study the non-equilibrium fluctuation of a class of additive functionals, and show that its scaling limit is a Gaussian process. The proof is mainly based on the results obtained and techniques developed by Jara and Menezes [Non-equiliburim fluctuations of interacting particle systems, arXiv:1810.09526].
Comments: The main result of this paper is extended from occupation time to additive functionals. The title is changed. More details are added
Scaling limits of additive functionals of interacting particle systems
Incompressible limit for weakly asymmetric simple exclusion processes coupled through collision
Hydrodynamic limit for weakly asymmetric simple exclusion processes in crystal lattices
![QR code for arXiv:2111.08804 [math.PR]](http://oss.arxitics.com/images/favicon.svg)