Titre :

Stefan problem for a non-ergodic facilitated exclusion process

Auteur(s) :

Blondel, Oriane [Auteur]
Institut Camille Jordan [ICJ]
Probabilités, statistique, physique mathématique [PSPM]
Erignoux, Clement [Auteur]
Systèmes de particules et systèmes dynamiques [Paradyse]
Simon, Marielle [Auteur]
Systèmes de particules et systèmes dynamiques [Paradyse]

Titre de la revue :

Probability and Mathematical Physics

Éditeur :

MSP

Date de publication :

2021

ISSN :

2690-0998

Mot(s)-clé(s) en anglais :

Hydrodynamic limits
kinetically constrained exclusion process
active-absorbing phase transition
Stefan problem

Discipline(s) HAL :

Mathématiques [math]/Probabilités [math.PR]

Résumé en anglais : [en]

We consider the <i>facilitated exclusion process</i>, which is a non-ergodic, kinetically constrained exclusion process. We show that in the hydrodynamic limit, its macroscopic behavior is governed by a free boundary ...
Lire la suite >We consider the <i>facilitated exclusion process</i>, which is a non-ergodic, kinetically constrained exclusion process. We show that in the hydrodynamic limit, its macroscopic behavior is governed by a free boundary problem. The particles evolve on the one-dimensional lattice according to jump rates which are degenerate, since they can vanish on non-trivial configurations and create distinct phases: indeed, configurations can be totally <i>blocked</i> (they cannot evolve under the dynamics), <i>ergodic</i> (they belong to an irreducible component), or <i>transient</i> (after a transitive period of time they will become either blocked or ergodic). We additionally prove that the microscopic separation into blocked/ergodic phases fully coincides with the moving interface problem given by the hydrodynamic equation.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Projet ANR :

Description microscopique des interfaces mobiles
Marches aléatoires en interaction
Modèles stochastiques en grande dimension pour la physique statistique hors équilibre
Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL