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

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.

Since submitting, we discovered an error in the code used to produce the PDE solutions. This does not change the article's central message, and we apologise for the oversight. Figures and descriptions have been corrected in the revised article. Only Figure 1 has significantly changed and the alignment between the linear stability analysis and PDE solutions has improved. 32 Pages, 8 figures

References in corpus (14)

• Motility-Induced Phase Separation
• Statistical Mechanics of Interacting Run-and-Tumble Bacteria
• When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation
• Activity-induced phase separation and self-assembly in mixtures of active and passive particles
• Dynamical mean-field theory and weakly non-linear analysis for the phase separation of active Brownian particles
• Generalized Exclusion Processes: Transport Coefficients
• Entropy production and its large deviations in an active lattice gas
• Microscopic theory for the diffusion of an active particle in a crowded environment
• Variational calculation of transport coefficients in diffusive lattice gases
• Perpendicular and Parallel Phase Separation in Two Species Driven Diffusive Lattice Gases
• Macroscopic behaviour in a two-species exclusion process via the method of matched asymptotics
• Derivation of a macroscopic model for Brownian hard needles
• Tensor approximation of the self-diffusion matrix of tagged particle processes
• Computation of the self-diffusion coefficient with low-rank tensor methods: application to the simulation of a cross-diffusion system

Cited by in corpus (6)

• Interfacial and density fluctuations in a lattice model of motility-induced phase separation
• Entropy production rate in thermodynamically consistent flocks
• Hydrodynamics of a hard-core active lattice gas
• Jamming of active particles in narrow pores: Implications for ratchet effect and diffusion coefficient
• Ratchet effect and jamming in dense mixtures of active and passive colloids in narrow pores
• Non-equilibrium pathways between cluster morphologies in active phase separation: necking, rupture and cavitation