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

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Article
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Abstract

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 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.

Description

Peer reviewed: True


Publication status: Published


Funder: Cantab Capital Institute for the Mathematics of Information of the University of Cambridge

Keywords
active matter, self-propelled particles, exclusion process, hydrodynamic limit, linear stability analysis, phase separation
Journal Title
Proceedings of the Royal Society A
Conference Name
Journal ISSN
1364-5021
1471-2946
Volume Title
479
Publisher
The Royal Society
Sponsorship
Royal Society (RGF/EA/181043, URF/R1/180040)