Phase separation of active Brownian particles on curved surfaces

Abstract

The effect of curvature on an ensemble of repulsive active Brownian particles (ABPs) moving on a spherical surface is studied. Surface curvature strongly affects the dynamics of ABPs, as it introduces a new time scale $\tau =R/v_0$, with curvature radius $R$ and propulsion velocity $v_0$, in addition to the rotational diffusion time ${\tau }_r$. This implies that motility-induced phase separation (MIPS) disappears for small $R$. Furthermore, it causes a narrowing of the MIPS regime in the phase diagram of P{é}clet number $\text{Pe}$ and particle area fraction $\varphi$. Also, the phase-separation boundary at low $\varphi$ attains a turning point at small $R$, allowing for the possibility of a reentrant behavior. These results characterize the effect of curvature on ABP dynamics and MIPS, and will help to better understand the preferred occupation of certain niches by bacterial colonies in porous media.

arXiv comment6 pages, 4 figures

References in corpus (38)

• Active Particles in Complex and Crowded Environments
• Motility-Induced Phase Separation
• Physics of Microswimmers - Single Particle Motion and Collective Behavior
• Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles
• Athermal Phase Separation of Self-Propelled Particles with no Alignment
• Microswimmers in Patterned Environments
• The 2019 Motile Active Matter Roadmap
• Phase behaviour of active Brownian particles: The role of dimensionality
• Scalar ${\varphi }^4$ field theory for active-particle phase separation
• Hydrodynamics determines collective motion and phase behavior of active colloids
• Full phase diagram of active Brownian disks: from melting to motility-induced phase separation
• Microscopic theory for the phase separation of self-propelled repulsive disks
• Self-Propelled Rods: Insights and Perspectives for Active Matter
• Cooperative Motion of Active Brownian Spheres in Three-Dimensional Dense Suspensions
• Sculpting vesicles with active particles: Less is more
• Generalized Thermodynamics of Phase Equilibria in Scalar Active Matter
• Swarm behavior of self-propelled rods and swimming flagella
• Virial pressure in systems of active Brownian particles
• Clustering of microswimmers: Interplay of shape and hydrodynamics
• Hydrodynamic suppression of phase separation in active suspensions
• Critical behavior of active Brownian particles
• A self-driven phase transition drives Myxococcus xanthus fruiting body formation
• Active swarms on a sphere
• Dynamics and density distribution of strongly confined noninteracting nonaligning self-propelled particles in a nonconvex boundary
• Active Contact Forces Drive Non-Equilibrium Fluctuations in Membrane Vesicles
• Phase co-existence in bidimensional passive and active dumbbell systems
• Phase behavior of active Brownian disks, spheres, and dumbbells
• Aging and rejuvenation of active matter under topological constraints
• Effect of motility on the transport of bacteria populations through a porous medium
• Interface stability, interface fluctuations, and the Gibbs-Thomson relation in motility-induced phase separations
• Local stress and pressure in an inhomogeneous system of spherical active Brownian particles
• Dynamics of active particles with space-dependent swim velocity
• Active motion on curved surfaces
• Self-Sustained Density Oscillations of Swimming Bacteria Confined in Microchambers
• The stability phase diagram of active Brownian particles
• Motility-Induced Clustering and Meso-Scale Turbulence in Active Polar Fluids
• Phase separation of self-propelled ballistic particles
• The escape problem for active particles confined to a disc

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• Curvature dependent dynamics of a bacterium confined in a giant unilamellar vesicle