3 papers
math.PR2026
Dynamical and stationary non-equilibrium fluctuations for a boundary-driven exclusion process with energy
Hugo Da Cunha
We consider the exclusion process with energy, a model with mass and energy conservation, and we put it in a boundary-driven setting. We are interested in its hydrodynamic and hydr…
math.PR2026
Stationary fluctuations for an exclusion process with mass and energy conservation
Hugo Da Cunha, Makiko Sasada
We introduce a novel exclusion process with two conservation laws, mass and energy, designed to mimic the essential features of continuous systems like interacting oscillators with…
math.PR2024
Hydrodynamic limit for an open facilitated exclusion process with slow and fast boundaries
Hugo Da Cunha, Clément Erignoux, Marielle Simon
We study the symmetric facilitated exclusion process (FEP) on the finite one-dimensional lattice when put in contact with boundary reservoirs, whose a…