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Bibliographic Details
Main Authors: Da Cunha, Hugo, Xu, Lu
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2502.00738
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Table of 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.