13 citations · 31 across the 4 of their papers we have counts for
4 papers
Exact hydrodynamics and onset of phase separation for an active exclusion process
James Mason, Clement Erignoux, Robert Jack +1
We consider a lattice model of active matter with exclusion and derive its hydrodynamic description exactly. The hydrodynamic limit leads to an integro-differential equation for th…
Nematic first order phase transition for liquid crystals in the van der Waals-Kac limit
Clément Erignoux, Alessandro Giuliani
In this paper we revisit and extend some mathematical aspects of Onsager's theory of liquid crystals that have been investigated in recent years by different communities (statistic…
Hydrodynamic limit of boundary driven exclusion processes with nonreversible boundary dynamics
Clément Erignoux
Using duality techniques, we derive the hydrodynamic limit for one-dimensional, boundary-driven, symmetric exclusion processes with different types of non-reversible dynamics at th…
Stationary states of boundary driven exclusion processes with nonreversible boundary dynamics
C. Erignoux, C. Landim, T. Xu
We prove a law of large numbers for the empirical density of one-dimensional, boundary driven, symmetric exclusion processes with different types of non-reversible dynamics at the…