5 papers
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…
Heat flow in a periodically forced, unpinned thermostatted chain
Tomasz Komorowski, Stefano Olla, Marielle Simon
We prove the hydrodynamic limit for a one-dimensional harmonic chain of interacting atoms with a random flip of the momentum sign. The system is open: at the left boundary it is at…
Microscopic derivation of non-local models with anomalous diffusions from stochastic particle systems
Christian Olivera, Marielle Simon
This paper considers a large class of nonlinear integro-differential scalar equations which involve an anomalous diffusion (e.g. driven by a fractional Laplacian) and a non-local s…
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 mo…
Hydrodynamic limit for an open facilitated exclusion process with slow and fast boundaries
Hugo Da Cunha, Clément Erignoux, Marielle Simon
We study the symmetric facilitated exclusion process (FEP) on the finite one-dimensional lattice when put in contact with boundary reservoirs, whose a…