Dynamics of interacting particle systems******

We collect here recent results covering various aspects of the dynamical properties of interacting particle systems. In Section 1 we study the hydrodynamic limit of a facilitated exclusion process. Section 2 evidences a cutoff phenomenon for the mixing time of the weakly asymmetric exclusion process...

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Main Authors: Blondel Oriane, Deshayes Aurelia, Labbé Cyril, Marêché Laure, Simon Marielle
Format: Article
Language:English
Published: EDP Sciences 2020-01-01
Series:ESAIM: Proceedings and Surveys
Online Access:https://www.esaim-proc.org/articles/proc/pdf/2020/02/proc206804.pdf
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author Blondel Oriane
Deshayes Aurelia
Labbé Cyril
Marêché Laure
Simon Marielle
author_facet Blondel Oriane
Deshayes Aurelia
Labbé Cyril
Marêché Laure
Simon Marielle
author_sort Blondel Oriane
collection DOAJ
description We collect here recent results covering various aspects of the dynamical properties of interacting particle systems. In Section 1 we study the hydrodynamic limit of a facilitated exclusion process. Section 2 evidences a cutoff phenomenon for the mixing time of the weakly asymmetric exclusion process. Section 3 presents a study of the infection time in the Duarte model. Finally, Section 4 presents the study of a front propagation in the FA-If model.
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spelling doaj.art-12b100ddb87f4deda7b9aa7c175719272023-01-02T10:03:44ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592020-01-0168527210.1051/proc/202068004proc206804Dynamics of interacting particle systems******Blondel Oriane0Deshayes AureliaLabbé Cyril1Marêché Laure2Simon Marielle3Univ Lyon, CNRS, Université Claude Bernard Lyon 1, UMR5208, Institut Camille JordanUniversité Paris-Dauphine, PSL Research University, Ceremade, CNRSLPSM UMR 8001, Université Paris Diderot, Sorbonne Paris Cité, CNRSInria, Univ. Lille, CNRS, UMR 8524 - Laboratoire Paul PainlevéWe collect here recent results covering various aspects of the dynamical properties of interacting particle systems. In Section 1 we study the hydrodynamic limit of a facilitated exclusion process. Section 2 evidences a cutoff phenomenon for the mixing time of the weakly asymmetric exclusion process. Section 3 presents a study of the infection time in the Duarte model. Finally, Section 4 presents the study of a front propagation in the FA-If model.https://www.esaim-proc.org/articles/proc/pdf/2020/02/proc206804.pdf
spellingShingle Blondel Oriane
Deshayes Aurelia
Labbé Cyril
Marêché Laure
Simon Marielle
Dynamics of interacting particle systems******
ESAIM: Proceedings and Surveys
title Dynamics of interacting particle systems******
title_full Dynamics of interacting particle systems******
title_fullStr Dynamics of interacting particle systems******
title_full_unstemmed Dynamics of interacting particle systems******
title_short Dynamics of interacting particle systems******
title_sort dynamics of interacting particle systems
url https://www.esaim-proc.org/articles/proc/pdf/2020/02/proc206804.pdf
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