Active particles under confinement: Aggregation at the wall and gradient formation inside a channel

Abstract

I study the confinement-induced aggregation phenomenon in a minimal model of self-propelled particles inside a channel. Starting from first principles, I derive a set of equations that govern the density profile of such a system at the steady-state, and calculate analytically how the aggregation at the walls varies with the physical parameters of the system. I also investigate how the gradient of the particle density varies if the inside of the channel is partitioned into two regions within which the active particles exhibit distinct levels of fluctuations in their directions of travel.

To appear in the New Journal of Physics

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Cited by in corpus (53)

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• Critical motility-induced phase separation belongs to the Ising universality class
• Active colloids in the context of chemical kinetics
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• A comparative study between two models of active cluster-crystals
• Interface stability, interface fluctuations, and the Gibbs-Thomson relation in motility-induced phase separations
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• Time-dependent properties of interacting active matter: dynamical behavior of one-dimensional systems of self-propelled particles
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• Tracer dynamics in one dimensional gases of active or passive particles
• Velocity alignment leads to high persistence in confined cells
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• Capillary action in scalar active matter
• Influence of interaction softness in phase separation of active particles
• Encounter-based model of a run-and-tumble particle II: absorption at sticky boundaries
• Generalized Archimedes' principle in active fluids
• Shape matters: A Brownian microswimmer in a channel
• Segregation and phase inversion of strongly and weakly fluctuated Brownian particle mixtures in spherical containers
• Steady states of active Brownian particles interacting with boundaries
• Response of active Brownian particles to boundary driving
• Mechanisms of carrier transport induced by a microswimmer bath
• Active Random Walks in One and Two Dimensions
• Interacting particles in an activity landscape
• Run-and-tumble particle in one-dimensional potentials: mean first-passage time and applications
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• Percolation transition in phase separating active fluid
• First passage statistics of active random walks on one and two dimensional lattices
• Memory Effects in Active Particles with Exponentially Correlated Propulsion
• Nonuniform mixing
• Close encounters of the sticky kind: Brownian motion at absorbing boundaries
• Trapping of an active Brownian particle at a partially absorbing wall
• Mean-field theory of active electrolytes: dynamic adsorption and overscreening
• Stationary particle currents in sedimenting active matter wetting a wall
• Passive objects in confined active fluids: a localization transition
• Optimal run-and-tumble in slit-like confinement
• Active Jamming at Criticality
• Geometric and Nonequilibrium Criticality in Run-and-Tumble Particles with Competing Motility and Attraction
• Siegmund duality for physicists: a bridge between spatial and first-passage properties of continuous and discrete time stochastic processes
• Effect of initial conditions on current fluctuations in non-interacting active particles
• On the effect of boundaries on noninteracting weakly active particles in different geometries
• Run-and-tumble particles in slit geometry as a splitting probability problem
• An Infinite Set of Integral Formulae for Polar, Nematic, and Higher Order Structures at the Interface of Motility-Induced Phase Separation
• Conservation laws and slow dynamics determine the universality class of interfaces in active matter
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