On the correlations of some microscopic random systems
Probability
2024-10-24 v1
Abstract
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.
Cite
@article{arxiv.2410.17926,
title = {On the correlations of some microscopic random systems},
author = {P. Gonçalves and B. Salvador},
journal= {arXiv preprint arXiv:2410.17926},
year = {2024}
}
Comments
24 pages, 2 figures