QUASI-STATIC LARGE DEVIATIONS

Anna de Masi (1) , Stefano Olla (2)

1 UNIVAQ - Università degli Studi dell'Aquila = University of L'Aquila
2 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

We consider the symmetric simple exclusion with open boundaries that are in contact with particle reservoirs at different densities. The reservoir densities changes at a slower time scale with respect the natural time scale the system reach the stationary state. This gives rise to a quasi static hydrodynamic limit proven in [6]. We study here the large deviations with respect to this limit for the particle density field and the total current. We identify explicitely the large deviation functional and prove that it satisfies a fluctuation relation.

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

Anna de Masi, Stefano Olla. QUASI-STATIC LARGE DEVIATIONS. 2018. ⟨hal-01777505v3⟩