Phoretic and hydrodynamic interactions of weakly-confined autophoretic particles

Abstract

Phoretic particles self-propel using self-generated physico-chemical gradients at their surface. Within a suspension, they interact hydrodynamically by setting the fluid around them into motion, and chemically by modifying the chemical background seen by their neighbours. While most phoretic systems evolve in confined environments due to buoyancy effects, most models focus on their interactions in unbounded flows. Here, we propose a first model for the interaction of phoretic particles in Hele-Shaw confinement and show that in this limit, hydrodynamic and phoretic interactions share not only the same scaling but also the same form, albeit in opposite directions. In essence, we show that phoretic interactions effectively reverse the sign of the interactions that would be obtained for swimmers interacting purely hydrodynamically. Yet, hydrodynamic interactions can not be neglected as they significantly impact the magnitude of the interactions. This model is then used to analyse the behaviour of a suspension. The suspension exhibits swirling and clustering collective modes dictated by the orientational interactions between particles, similar to hydrodynamic swimmers, but here governed by the surface properties of the phoretic particle; the reversal in the sign of the interaction tends to slow down the swimming motion of the particles.

arXiv comment15 pages, 4 figures, to appear in J. Chem. Phys

References in corpus (36)

• The hydrodynamics of swimming microorganisms
• Self-motile colloidal particles: from directed propulsion to random walk
• Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles
• Emergence of macroscopic directed motion in populations of motile colloids
• Dynamic clustering in active colloidal suspensions with chemical signaling
• Designing phoretic micro- and nano-swimmers
• Microswimmers in Patterned Environments
• Sedimentation of active colloidal suspensions
• Hydrodynamics of self-propulsion near a boundary: predictions and accuracy of far-field approximations
• Bacterial hydrodynamics
• Topographical pathways guide chemical microswimmers
• Self-propulsion of pure water droplets by spontaneous Marangoni stress driven motion
• Clusters, asters and collective oscillations in chemotactic colloids
• Self-assembly of catalytically active colloidal molecules: Tailoring activity through surface chemistry
• Self-propulsion of a catalytically active particle near a planar wall: from reflection to sliding and hovering
• 'Fuelled' motion: phoretic motility and collective behaviour of active colloids
• Dynamic clustering and chemotactic collapse of self-phoretic active particles
• Phoretic self-propulsion at finite Péclet numbers
• Generic theory of colloidal transport
• Clustering and pattern formation in chemorepulsive active colloids
• Flow-induced phase separation of active particles is controlled by boundary conditions
• Self-Diffusiophoretic Colloidal Propulsion Near a Solid Boundary
• Phoretic Interactions Generically Induce Dynamic Clusters and Wave Patterns in Active Colloids
• Optimal feeding is optimal swimming for all Péclet numbers
• Self-assembly of Active Colloidal Molecules with Dynamic Function
• Which Interactions Dominate in Active Colloids?
• Guiding catalytically active particles with chemically patterned surfaces
• Effective interaction between active colloids and fluid interfaces induced by Marangoni flows
• Multiple phoretic mechanisms in the self-propulsion of a Pt-insulator Janus swimmer
• Guiding microscale swimmers using teardrop-shaped posts
• Many-body dynamics of chemically propelled nanomotors
• Chemotactic and hydrodynamic effects on collective dynamics of self-diffusiophoretic Janus motors
• Self-diffusiophoresis induced by fluid interfaces
• Density shock waves in confined microswimmers
• Artificial chemotaxis of phoretic swimmers: Instantaneous and long-time behaviour
• Active and driven hydrodynamic crystals

Cited by in corpus (17)

• Which Interactions Dominate in Active Colloids?
• Exact phoretic interaction of two chemically-active particles
• Interactions in Active Colloids
• The flow field around a confined active droplet
• Emergent dynamics due to chemo-hydrodynamic self-interactions in active polymers
• Competing chemical and hydrodynamic interactions in autophoretic colloidal suspensions
• Modeling chemo-hydrodynamic interactions of phoretic particles: a unified framework
• Hydrochemical interactions of phoretic particles: a regularized multipole framework
• Swimming droplet in 1D geometries, an active Bretherton problem
• Spontaneous polarization and locomotion of an active particle with surface-mobile enzymes
• Hydro-chemical interactions in dilute phoretic suspensions: from individual particle properties to collective organization
• Enhanced diffusivity in microscopically reversible active matter
• Self-propulsion in 2D Confinement: Phoretic and Hydrodynamic Interactions
• Collective dynamics and rheology of confined phoretic suspensions
• Shapes and dynamic regimes of a polar active fluid droplet under confinement
• Self-organisation of auto-phoretic suspensions in confined shear flows
• Fluctuating hydrodynamics of an autophoretic particle near a permeable interface