Titre :

Second order Boltzmann-Gibbs principle for polynomial functions and applications

Auteur(s) :

Gonçalves, Patricia [Auteur]
Universidade do Minho = University of Minho [Braga]
Instituto Superior Técnico [IST / Técnico Lisboa]
Jara, Milton [Auteur]
Instituto Nacional de Matemática Pura e Aplicada [IMPA]
Simon, Marielle [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Quantitative methods for stochastic models in physics [MEPHYSTO]

Titre de la revue :

Journal of Statistical Physics

Éditeur :

Springer Verlag

Date de publication :

2017

ISSN :

0022-4715

Discipline(s) HAL :

Mathématiques [math]/Probabilités [math.PR]
Mathématiques [math]/Physique mathématique [math-ph]

Résumé en anglais : [en]

In this paper we give a new proof of the second order Boltzmann-Gibbs principle. The proof does not impose the knowledge on the spectral gap inequality for the underlying model and it relies on a proper decomposition of ...
Lire la suite >In this paper we give a new proof of the second order Boltzmann-Gibbs principle. The proof does not impose the knowledge on the spectral gap inequality for the underlying model and it relies on a proper decomposition of the antisymmetric part of the current of the system in terms of polynomial functions. In addition, we fully derive the convergence of the equilibrium fluctuations towards 1) a trivial process in case of supper-diffusive systems, 2) an Ornstein-Uhlenbeck process or the unique energy solution of the stochastic Burgers equation, in case of weakly asymmetric diffusive systems. Examples and applications are presented for weakly and partial asymmetric exclusion processes, weakly asymmetric speed change exclusion processes and hamiltonian systems with exponential interactions.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Projet ANR :

Diffusion de l'énergie dans des systèmes hamiltoniens bruitésés

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL