Coupling hydrodynamics of several Facilitated Exclusion Processes with closed boundaries

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Bibliographic Details
Main Authors:	Da Cunha, Hugo, Xu, Lu
Format:	Preprint
Published:	2025
Subjects:	Probability
Online Access:	Acceder al recurso
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_version_	1866929694941642752
author	Da Cunha, Hugo Xu, Lu
author_facet	Da Cunha, Hugo Xu, Lu
contents	In this paper, we prove the hydrodynamic limit for the ergodic dynamics of the Facilitated Exclusion Process with closed boundaries in the symmetric, asymmetric and weakly asymmetric regimes. For this, we couple it with a Simple Exclusion Process by constructing a mapping that transforms the facilitated dynamics into the simple one. As the hydrodynamic behaviour of the simple exclusion process with closed boundaries has been extensively studied, we can deduce the corresponding hydrodynamics for the facilitated exclusion process.
format	Preprint
id	arxiv_https___arxiv_org_abs_2502_00738
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	Coupling hydrodynamics of several Facilitated Exclusion Processes with closed boundaries Da Cunha, Hugo Xu, Lu Probability In this paper, we prove the hydrodynamic limit for the ergodic dynamics of the Facilitated Exclusion Process with closed boundaries in the symmetric, asymmetric and weakly asymmetric regimes. For this, we couple it with a Simple Exclusion Process by constructing a mapping that transforms the facilitated dynamics into the simple one. As the hydrodynamic behaviour of the simple exclusion process with closed boundaries has been extensively studied, we can deduce the corresponding hydrodynamics for the facilitated exclusion process.
title	Coupling hydrodynamics of several Facilitated Exclusion Processes with closed boundaries
topic	Probability
url	https://arxiv.org/abs/2502.00738

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