Hydrodynamic behavior near dynamical criticality of a facilitated conservative lattice gas

Erignoux, Clement; Roget, Alexandre; Shapira, Assaf; Simon, Marielle

Document type :

Article dans une revue scientifique: Article original

DOI :

10.1103/PhysRevE.110.L032101

PMID :

39425426

Title :

Hydrodynamic behavior near dynamical criticality of a facilitated conservative lattice gas

Author(s) :

Erignoux, Clement [Auteur]

Systèmes de cellules avec interactions multi-échelles [MUSICS]
Probabilités, statistique, physique mathématique [PSPM]
Institut Camille Jordan [ICJ]
Modélisation multi-échelle des dynamiques cellulaires : application à l'hématopoïese [DRACULA]
Roget, Alexandre [Auteur]
Systèmes de particules et systèmes dynamiques [Paradyse]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Shapira, Assaf [Auteur]
Université Paris Cité [UPCité]
Mathématiques Appliquées Paris 5 [MAP5 - UMR 8145]
Simon, Marielle [Auteur]

Institut Camille Jordan [ICJ]

Journal title :

Physical Review E

Pages :

L032101

Publisher :

American Physical Society (APS)

Publication date :

2024-09-03

ISSN :

2470-0045

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

We investigate a 2d-conservative lattice gas exhibiting a dynamical active-absorbing phase transition with critical density ρ c . We derive the hydrodynamic equation for this model, showing that all critical exponents ...
Show more >We investigate a 2d-conservative lattice gas exhibiting a dynamical active-absorbing phase transition with critical density ρ c . We derive the hydrodynamic equation for this model, showing that all critical exponents governing the large scale behavior near criticality can be obtained from two independent ones. We show that as the supercritical density approaches criticality, distinct length scales naturally appear. Remarkably, this behavior is different from the subcritical one. Numerical simulations support the critical relations and the scale separation.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

ANR Project :

Description microscopique des interfaces mobiles
Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :