Polarization-Density Patterns of Active Particles in Motility Gradients
arXiv:2010.16234 · doi:10.1103/PhysRevE.103.062601
Abstract
The co-localization of density modulations and particle polarization is a characteristic emergent feature of motile active matter in activity gradients. It can therefore play the role of a smoking gun for the mesoscale detection of intrinsic microscopic activity. We employ the active-Brownian-particle (ABP) model to derive precise analytical expressions for the density and polarization profiles of a single Janus-type swimmer in the vicinity of an abrupt activity step, including situations with an orientation-dependent propulsion speed. Our results agree well with measurement data for a hot microswimmer presented in the companion paper [1] and can serve as a template for more complex applications, e.g., to motility-induced phase separation or studies of physical boundaries. The essential physics behind our formal results is robustly captured and elucidated by a schematic two-species ``run-and-tumble'' model.
arXiv comment21 pages, 11 figures
References in corpus (75)
- Active Particles in Complex and Crowded Environments
- Collective motion
- Self-motile colloidal particles: from directed propulsion to random walk
- The Mechanics and Statistics of Active Matter
- Motility-Induced Phase Separation
- Athermal Phase Separation of Self-Propelled Particles with no Alignment
- Active Brownian Particles. From Individual to Collective Stochastic Dynamics
- Meso-scale turbulence in living fluids
- Active Motion of Janus Particle by Self-thermophoresis in Defocused Laser Beam
- Statistical Mechanics of Interacting Run-and-Tumble Bacteria
- Propulsion of a molecular machine by asymmetric distribution of reaction--products
- Topological States on the Gold Surface
- Microswimmers in Patterned Environments
- When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation
- Pressure is not a state function for generic active fluids
- Diffusive transport without detailed balance in motile bacteria: Does microbiology need statistical physics?
- Emergent behavior in active colloids
- Topographical pathways guide chemical microswimmers
- Active Brownian Motion Tunable by Light
- Boltzmann and hydrodynamic description for self-propelled particles
- Hydrodynamics determines collective motion and phase behavior of active colloids
- Pressure and Phase Equilibria in Interacting Active Brownian Spheres
- Sedimentation, trapping, and rectification of dilute bacteria
- Active Brownian Particles and Run-and-Tumble Particles: a Comparative Study
- Microscopic theory for the phase separation of self-propelled repulsive disks
- Clusters, asters and collective oscillations in chemotactic colloids
- Effective Cahn-Hilliard equation for the phase separation of active Brownian particles
- Hydrodynamic capture of microswimmers into sphere-bound orbits
- Steady state, relaxation and first-passage properties of a run-and-tumble particle in one-dimension
- Cooperative Motion of Active Brownian Spheres in Three-Dimensional Dense Suspensions
- Spontaneous velocity alignment in Motility-induced Phase Separation
- Brownian Particles far from Equilibrium
- Generalized Thermodynamics of Phase Equilibria in Scalar Active Matter
- Dynamic density shaping of light driven bacteria
- Painting with bacteria: Smart templated self assembly using motile bacteria
- Collective Thermotaxis of Thermally Active Colloids
- Generalized thermodynamics of Motility-Induced Phase Separation: Phase equilibria, Laplace pressure, and change of ensembles
- Active colloidal suspensions exhibit polar order under gravity
- Virial pressure in systems of active Brownian particles
- Locomotion of Electrocatalytic Nanomotors due to Reaction Induced Charge Auto-Electrophoresis
- Feedback-Controlled Active Brownian Colloids with Space-Dependent Rotational Dynamics
- Vortex arrays and meso-scale turbulence of self-propelled particles
- Polarization of active Janus particles
- Ideal bulk pressure of active Brownian particles
- Engineering sensorial delay to control phototaxis and emergent collective behaviors
- Pairing, waltzing and scattering of chemotactic active colloids
- Chemical potential in active systems: predicting phase equilibrium from bulk equations of state?
- Hydrodynamic interaction of a self-propelling particle with a wall: Comparison between an active Janus particle and a squirmer model
- Guiding catalytically active particles with chemically patterned surfaces
- Microscopic Origins of the Swim Pressure and the Anomalous Surface Tension of Active Matter
- Curvature-dependent tension and tangential flows at the interface of motility-induced phases
- Steady-state distributions of ideal active Brownian particles under confinement and forcing
- Chemotaxis of artificial microswimmers in active density waves
- Non-Equilibrium Surface Tension of the Vapour-Liquid Interface of Active Lennard-Jones Particles
- Phase coexistence of active Brownian particles
- Sedimentation of self-propelled Janus colloids: polarization and pressure
- Phototactic Robot Tunable by Sensorial Delays
- Active Brownian motion with orientation-dependent motility: theory and experiments
- Self-Polarizing Microswimmers in Active Density Waves
- Active-Particle Polarization Without Alignment Forces
- Brownian systems with spatially inhomogeneous activity
- Physically consistent numerical solver for time-dependent Fokker-Planck equations
- Exact symmetries in the velocity fluctuations of a hot Brownian swimmer
- The entropy production of an active particle in a box
- Pattern formation in active particle systems due to competing alignment interactions
- Quorum-sensing active particles with discontinuous motility
- Vapour-Liquid Coexistence of an Active Lennard-Jones fluid
- Green-Kubo approach to the average swim speed in active Brownian systems
- Taxis of Artificial Swimmers in a Spatio-Temporally Modulated Activation Medium
- Linear response approach to active Brownian particles in time-varying activity fields
- Pseudochemotaxis in inhomogeneous active Brownian systems
- Exact axisymmetric interaction of phoretically active Janus particles
- Active ideal sedimentation: Exact two-dimensional steady states
- Active interface polarization is a state function
- Chemokinetic scattering, trapping, and avoidance of active Brownian particles
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- Power functional theory for many-body dynamics
- Noether's Theorem in Statistical Mechanics
- Active-Particle Polarization Without Alignment Forces
- Why Noether's Theorem applies to Statistical Mechanics
- Active Refrigerators Powered by Inertia
- Density and Polarization of Active Brownian Particles in Curved Activity Landscapes
- Active Colloidal Molecules in Activity Gradients
- Interacting particles in an activity landscape
- Active crystallization from power functional theory
- Stability of flocking in the reciprocal two-species Vicsek model: Effects of relative population, motility, and noise
- Macrotransport of active particles in periodic channels and fields: rectification and dispersion
- Delayed Active Swimmer in a Velocity Landscape
- Thermotaxis of Janus Particles
- Virial stress in systems of active Brownian particles in the presence of translational and rotational inertia