Exact hydrodynamics and onset of phase separation for an active exclusion process - Archive ouverte HAL
Article Dans Une Revue Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Année : 2023

Exact hydrodynamics and onset of phase separation for an active exclusion process

Résumé

We consider a lattice model of active matter with exclusion and derive its hydrodynamic description exactly. The hydrodynamic limit leads to an integrodifferential equation for the density of particles with a given orientation. Volume exclusion results in nonlinear mobility dependent on spatial density. Such models of active matter can support motility-induced phase separation, which occurs despite the absence of attractive interactions. We study the onset of phase separation with linear stability analysis and numerical simulations.
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Dates et versions

hal-04379583 , version 1 (08-01-2024)

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James Mason, Clément Erignoux, Robert Jack, Maria Bruna. Exact hydrodynamics and onset of phase separation for an active exclusion process. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2023, 479 (2279), ⟨10.1098/rspa.2023.0524⟩. ⟨hal-04379583⟩
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