3 papers
math.PR2025
Weakly asymmetric facilitated exclusion process
Guillaume Barraquand, Oriane Blondel, Marielle Simon
We consider the facilitated exclusion process, an interacting particle system on the integer line where particles hop to one of their left or right neighbouring site only when the…
math.PR2025
Asymmetric attractive zero-range processes with particle destruction at the origin
Marielle Simon, Linjie Zhao, Clément Erignoux
We investigate the macroscopic behavior of asymmetric attractive zero-range processes on where particles are destroyed at the origin at a rate of order , where $…
math.PR2025
Mapping hydrodynamics for the facilitated exclusion and zero-range processes
Clément Erignoux, Marielle Simon, Linjie Zhao
We derive the hydrodynamic limit for two degenerate lattice gases, the \emph{facilitated exclusion process} (FEP) and the \emph{facilitated zero-range process} (FZRP), both in the…