Hydrodynamic limit for a d-dimensional open symmetric exclusion process

被引：1

作者：

Zhou, Zhengye ^{[1
]}

机构：

[1] Texas A&M Univ, College Stn, TX 77843 USA

来源：

ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2020年 / 25卷

关键词：

hydrodynamics; open symmetric exclusion process;

D O I：

10.1214/20-ECP350

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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.

引用

页码：1 / 8

页数：8

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