27 citations · 102 across the 20 of their papers we have counts for
27 papers
From Exclusion to Slow and Fast Diffusion
Patricia Gonçalves, Gabriel Nahum, Marielle Simon
We construct a nearest-neighbour interacting particle system of exclusion type, which illustrates a transition from slow to fast diffusion. More precisely, the hydrodynamic limit o…
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…
On the Conversion of Work into Heat: Microscopic Models and Macroscopic Equations
Tomasz Komorowski, Joel Lebowitz, Stefano Olla +1
We summarize and extend some of the results obtained recently for the microscopic and macroscopic behavior of a pinned harmonic chain, with random velocity flips at Poissonian time…
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…
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 $β…
The Fundamental Solution for the Heat Equation on the half-line with Drift and Dirichlet Boundary Condition
Tertuliano Franco, Patrícia Gonçalves, Nicolas Perkowski +1
By a probabilistic method we provide an explicit fundamental solution of the Cauchy problem associated to the heat equation on the half-line with constant drift and Dirichlet bound…