Hydrodynamic limit of Exclusion Processes with slow boundaries on hypercubes
Probability
2021-09-30 v1
Abstract
We study the hydrodynamic limit of SSEP with slow boundaries on hypercubes in dimension at least two. The hydrodynamic limit equation is shown to be a heat equation with three different types of boundary conditions according to the slowness of the boundary dynamics.The proof is based on Yau's relative entropy method.
Keywords
Cite
@article{arxiv.2109.14491,
title = {Hydrodynamic limit of Exclusion Processes with slow boundaries on hypercubes},
author = {Tiecheng Xu},
journal= {arXiv preprint arXiv:2109.14491},
year = {2021}
}
Comments
18 pages