Stationary and Nonequilibrium Fluctuations in Boundary Driven Exclusion Processes

Claudio Landim (1) , Aniura Milanés (2) , Stefano Olla (3)

1 LMRS - Laboratoire de Mathématiques Raphaël Salem
2 DEST - Departamento de Estatistica
3 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

We prove nonequilibrium fluctuations for the boundary driven symmetric simple exclusion process. We deduce from this result the stationary fluctuations.

Mots clés: Stationary nonequilibrium states; hydrodynamic fluctuations; boundary driven systems; exclusion process

Domaines: Probabilités [math.PR]; Physique mathématique [math-ph]; Mécanique statistique [cond-mat.stat-mech]

Claudio Landim, Aniura Milanés, Stefano Olla. Stationary and Nonequilibrium Fluctuations in Boundary Driven Exclusion Processes. Markov Processes And Related Fields, 2008, 14, pp.165-184. ⟨hal-00088956⟩