6 papers
Sharp freezing time estimates for the subcritical Facilitated Exclusion Process
Oriane Blondel, Clément Erignoux, Seonwoo Kim +1
We investigate the exact transience time of the Facilitated Exclusion Process (FEP) on the one-dimensional torus with sites. The FEP exhibits an active/inactive phase transitio…
Scaling Relations For The CLG's Critical Exponents
Clément Erignoux, Assaf Shapira, Marielle Simon
We consider, in any dimension, the constrained lattice gas introduced by Rossi et al., which is an exclusion process on a d-dimensional lattice following the additional constraint…
Velocity trapping in the lifted TASEP and the true self-avoiding random walk
Brune Massoulié, Clément Erignoux, Cristina Toninelli +1
We discuss non-reversible Markov-chain Monte Carlo algorithms that, for particle systems, rigorously sample the positional Boltzmann distribution and that have faster than physical…
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 $…
Hydrodynamic behavior near dynamical criticality of a facilitated conservative lattice gas
Clément Erignoux, Alexandre Roget, Assaf Shapira +1
We investigate a -conservative lattice gas exhibiting a dynamical active-absorbing phase transition with critical density . We derive the hydrodynamic equation for this m…
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…