Hydrodynamic limit for a d-dimensional open symmetric exclusion process

2020/04/29 by Zhou, Zhengye
#60J75 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2004.14279

Abstract

In this paper we focus on the open symmetric exclusion process with parameter m (open SEP(m/2)), which allows m particles each site and has an open boundary. We generalize the result about hydrodynamic limit for the open SEP(m/2) that was originally raised in Theorem 4.12 of arXiv:1908.02359. We prove that the hydrodynamic limit of the density profile for a d-dimensional open SEP(m/2) solves the (d+1)-dimensional heat equation with certain initial condition and boundary condition.

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