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2020 Hydrodynamic limit for a $d$-dimensional open symmetric exclusion process
Zhengye Zhou
Electron. Commun. Probab. 25: 1-8 (2020). DOI: 10.1214/20-ECP350

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$(m/2)$ originally raised in Theorem 4.12 of [8]. 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.

Citation

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Zhengye Zhou. "Hydrodynamic limit for a $d$-dimensional open symmetric exclusion process." Electron. Commun. Probab. 25 1 - 8, 2020. https://doi.org/10.1214/20-ECP350

Information

Received: 3 May 2020; Accepted: 11 September 2020; Published: 2020
First available in Project Euclid: 28 October 2020

MathSciNet: MR4167387
Digital Object Identifier: 10.1214/20-ECP350

Subjects:
Primary: 60J75

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