Hydrodynamic limit of boundary driven exclusion processes with nonreversible boundary dynamics

Clément Erignoux (1)

1 Paradyse - Systèmes de particules et systèmes dynamiques

Using duality techniques, we derive the hydrodynamic limit for one-dimensional, boundary-driven, symmetric exclusion processes with different types of non-reversible dynamics at the boundary, for which the classical entropy method fails.

Mots clés: Probability theory; Statistical mechanics; Nonequilibrium systems; Boundary-driven particle systems; Hydrodynamic limits; Duality

Domaines: Probabilités [math.PR]; Physique mathématique [math-ph]

Clément Erignoux. Hydrodynamic limit of boundary driven exclusion processes with nonreversible boundary dynamics. Journal of Statistical Physics, 2018, 172 (5), pp.1327-1357. ⟨10.1007/s10955-018-2102-1⟩. ⟨hal-02008633⟩