Title :

A Microscopic Derivation of Coupled SPDE's with a KPZ Flavor

Author(s) :

Ahmed, Ragaa [Auteur]
Instituto Superior Técnico
Bernardin, Cedric [Auteur]
Laboratoire Jean Alexandre Dieudonné [LJAD]
Gonçalves, Patricia [Auteur]
Instituto Superior Técnico [IST / Técnico Lisboa]
Simon, Marielle [Auteur]
Systèmes de particules et systèmes dynamiques [Paradyse]

Journal title :

Annales de l'Institut Henri Poincaré

Publication date :

2022

HAL domain(s) :

Mathématiques [math]/Probabilités [math.PR]
Mathématiques [math]/Physique mathématique [math-ph]
Physique [physics]/Physique mathématique [math-ph]
Physique [physics]/Matière Condensée [cond-mat]/Mécanique statistique [cond-mat.stat-mech]

English abstract : [en]

We consider an interacting particles system composed of a Hamiltonian part and perturbed by a conservative stochastic noise so that the full system conserves two quantities: energy and volume. The Hamiltonian part is ...
Show more >We consider an interacting particles system composed of a Hamiltonian part and perturbed by a conservative stochastic noise so that the full system conserves two quantities: energy and volume. The Hamiltonian part is regulated by a scaling parameter vanishing in the limit. We study the form of the fluctuations of these quantities at equilibrium and derive coupled stochastic partial differential equations with a KPZ flavor.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

ANR Project :

Modèles stochastiques en grande dimension pour la physique statistique hors équilibre
Diffusion de l'énergie dans des systèmes hamiltoniens bruitésés

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL