2 citations · 3 across the 2 of their papers we have counts for
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Stefan problem for a non-ergodic facilitated exclusion process
Oriane Blondel, Clément Erignoux, Marielle Simon
We consider the facilitated exclusion process, which is a nonergodic, kinetically constrained exclusion process. We show that in the hydrodynamic limit, its macroscopic behavior is…
Random Walks on Dynamical Random Environments with Non-Uniform Mixing
Oriane Blondel, Marcelo R. Hilario, Augusto Teixeira
In this paper we study random walks on dynamical random environments in dimensions. Assuming that the environment is invariant under space-time shifts and fulfills a mild m…
Hydrodynamic limit for a facilitated exclusion process
Oriane Blondel, Clément Erignoux, Makiko Sasada +1
We study the hydrodynamic limit for a periodic -dimensional exclusion process with a dynamical constraint, which prevents a particle at site from jumping to site unl…
Front evolution of the Fredrickson-Andersen one spin facilitated model
Oriane Blondel, Aurelia Deshayes, Cristina Toninelli
The Fredrickson-Andersen one spin facilitated model (FA-1f) on Z belongs to the class of kinetically constrained spin models (KCM). Each site refreshes with rate one its occupation…
Convergence of a degenerate microscopic dynamics to the porous medium equation
Oriane Blondel, Clément Cancès, Makiko Sasada +1
We derive the porous medium equation from an interacting particle system which belongs to the family of exclusion processes, with nearest neighbor exchanges. The particles follow a…
Random walk on random walks: low densities
Oriane Blondel, Marcelo R. Hilario, Renato Soares dos Santos +2
We consider a random walker in a dynamic random environment given by a system of independent simple symmetric random walks. We obtain ballisticity results under two types of pertur…