Hydrodynamic limit for a $d$-dimensional open symmetric exclusion process
Probability
2020-09-01 v2
Abstract
In this paper we focus on the open symmetric exclusion process with parameter (open SEP()), which allows particles each site and has an open boundary. We generalize the result about hydrodynamic limit for the open SEP that was originally raised in Theorem 4.12 of arXiv:1908.02359. We prove that the hydrodynamic limit of the density profile for a dimensional open SEP solves the dimensional heat equation with certain initial condition and boundary condition.
Keywords
Cite
@article{arxiv.2004.14279,
title = {Hydrodynamic limit for a $d$-dimensional open symmetric exclusion process},
author = {Zhengye Zhou},
journal= {arXiv preprint arXiv:2004.14279},
year = {2020}
}
Comments
10 pages