2 papers
math.DS2026
Boundary driven weakly asymmetric Blume-Capel model: Large deviations for mixed Dirichlet-Neumann boundary conditions
Mustapha Mourragui, Nicolas Prévost
We consider the Blume-Capel spin model on a finite cylinder with reservoirs at the boundary. A model with spin variable taking values in {-1, 0, 1}, with the superposition of…
math.AP2024
Bridging bulk and surface: An interacting particle system towards the field-road diffusion model
Matthieu Alfaro, Mustapha Mourragui, Samuel Tréton
We recover the so-called field-road diffusion model as the hydrodynamic limit of an interacting particle system. The former consists of two parabolic PDEs posed on two sets of diff…