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math-ph2023★ 8 cited
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…
math-ph2022★ 7 cited
Macroscopic behaviour in a two-species exclusion process via the method of matched asymptotics
James Mason, Robert L Jack, Maria Bruna
We consider a two-species simple exclusion process on a periodic lattice. We use the method of matched asymptotics to derive evolution equations for the two population densities in…