The Rotating Vicsek Model: Pattern Formation and Enhanced Flocking in Chiral Active Matter

Abstract

We generalize the Vicsek model to describe the collective behaviour of polar circle swimmers with local alignment interactions. While the phase transition leading to collective motion in 2D (flocking) occurs at the same interaction to noise ratio as for linear swimmers, as we show, circular motion enhances the polarization in the ordered phase (enhanced flocking) and induces secondary instabilities leading to structure formation. Slow rotations result in phase separation whereas fast rotations generate patterns which consist of phase synchronized microflocks of controllable self-limited size. Our results defy the viewpoint that monofrequent rotations form a rather trivial extension of the Vicsek model and establish a generic route to pattern formation in chiral active matter with possible applications to control coarsening and to design rotating microflocks.

arXiv commentContains a Supplementary Material

References in corpus (24)

• Novel type of phase transition in a system of self-driven particles
• Collective motion
• Motility-Induced Phase Separation
• Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles
• Swimming in circles: Motion of bacteria near solid boundaries
• Onset of collective and cohesive motion
• Statistical Mechanics of Interacting Run-and-Tumble Bacteria
• Dynamic clustering in active colloidal suspensions with chemical signaling
• Langevin Equation for the Density of a System of Interacting Langevin Processes
• Circular motion of asymmetric self-propelling particles
• Hydrodynamic equations for self-propelled particles: microscopic derivation and stability analysis
• Pattern formation in self-propelled particles with density-dependent motility
• Dynamics of a Brownian circle swimmer
• Gravitaxis of asymmetric self-propelled colloidal particles
• Diffusion, subdiffusion, and trapping of active particles in heterogeneous media
• From Phase to Micro-Phase Separation in Flocking Models: The Essential Role of Non-Equilibrium Fluctuations
• Fluctuations and Pattern Formation in Self-Propelled Particles
• A mean-field theory for self-propelled particles interacting by velocity alignment mechanisms
• Clustering and pattern formation in chemorepulsive active colloids
• Clustering and heterogeneous dynamics in a kinetic Monte-Carlo model of self-propelled hard disks
• Emergent spatial structures in flocking models: a dynamical system insight
• Active Curved Polymers form Vortex Patterns on Membranes
• Pattern Formation in Chemically Interacting Active Rotors with Self-Propulsion
• Hydrodynamic synchronization of flagellar oscillators

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• Clustering and flocking of repulsive chiral active particles with non-reciprocal couplings
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• Clustering and phase separation of circle swimmers dispersed in a monolayer
• Dynamical Clustering Interrupts Motility Induced Phase Separation in Chiral Active Brownian Particles
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• Mixing and demixing of binary mixtures of polar chiral active particles
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• Traveling Bands, Clouds, and Vortices of Chiral Active Matter
• Analytical approach to chiral active systems: suppressed phase separation of interacting Brownian circle swimmers
• State diagram of a three-sphere microswimmer in a channel
• Active cholesterics: odder than odd elasticity
• Reversibility, Pattern Formation and Edge Transport in Active Chiral and Passive Disk Mixtures
• Spontaneous rotation can stabilise ordered chiral active fluids
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• Chiral active matter in external potentials
• Emergent vortices and phase separation in systems of chiral active particles with dipolar interactions
• Activity-controlled clogging and unclogging of micro-channels
• Dynamical density functional theory for circle swimmers
• Microscopic theory for hyperuniformity in two-dimensional chiral active fluid
• Glassy Dynamics in Chiral Fluids
• Chiral active hexatics: Giant number fluctuations, waves and destruction of order
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• Hydrodynamic Synchronisation of Chiral Microswimmers
• Geometry-Induced Dynamics of Confined Chiral Active Matter
• Bodies in an Interacting Active Fluid: Far-Field Influence of a Single Body and Interaction Between Two Bodies
• Active particles with polar alignment in ring-shaped confinement
• Particle-scale statistical theory for hydrodynamically induced polar ordering in microswimmer suspensions
• Configuration Dynamics of a Flexible Polymer Chain in a Bath of Chiral Active Particles
• Self-solidifying active droplets showing memory-induced chirality
• Flocking and reorientation transition in the 4-state active Potts model
• Active particles in non-inertial frames: how to self-propel on a carousel
• Contrarian compulsions produce time dependent flocking of active particles
• Flocking with a $q$-fold discrete symmetry: band-to-lane transition in the active Potts model
• Transport of the moving barrier driven by chiral active particles
• Field-Theory of Active Chiral Hard Disks: A First-Principles Approach to Steric Interactions
• Interface height fluctuations and surface tension of driven liquids with time-dependent dynamics
• Spontaneous rotation of active droplets in two and three dimensions
• Long-range translational order and hyperuniformity in two-dimensional chiral active crystal
• A Quantitative Kinetic Theory of Flocking with Three-Particle-Closure
• Microscopic field theory for structure formation in systems of self-propelled particles with generic torques
• Relaxation in a Phase-separating Two-dimensional Active Matter System with Alignment Interaction
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• Resonant diffusion of a gravitactic circle swimmer
• Dynamical structures in phase-separating non-reciprocal polar active mixtures
• Taming Polar Active Matter with Moving Substrates: Directed Transport and Counterpropagating Macrobands
• A Finite Volume Method for Continuum Limit Equations of Nonlocally Interacting Active Chiral Particles
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• Condensation and Synchronization in Aligning Chiral Active Matter
• Uncovering novel phase transitions in dense dry polar active fluids using a lattice Boltzmann method
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• Synchronization and exceptional points in nonreciprocal active polar mixtures
• Anomalous grain dynamics and grain locomotion of odd crystals
• Intermediate scattering function of a gravitactic circle swimmer
• From Flocking to Condensation: Collective Dynamics in Binary Chiral Active Matter
• Singular density correlations in chiral active fluids in three dimensions
• Collision-induced torque mediates transition of chiral dynamic patterns formed by active particles
• Aligning Active Particles Py Package
• AMEP: The Active Matter Evaluation Package for Python
• Demixing of two species via reciprocally concentration-dependent diffusivity
• Correlations and transport in exclusion processes with general finite memory
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• Experimental and numerical study of a second-order transition in the behavior of confined self-propelled particles
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• Scanning-probe and information-concealing machine learning intermediate hexatic phase and critical scaling of solid-hexatic phase transition in deformable particles
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• Active screws: Emergent active chiral nematics of spinning self-propelled rods
• Unified Ott--Antonsen Framework for Stability and Bifurcations in Ring Swarmalators
• Phase separation of self-propelled disks with ferromagnetic and nematic alignment
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• Rolling at right angles: magnetic anisotropy enables dual-anisotropic active matter
• Diffusion of gravitactic chiral active Brownian particles in an asymmetric channel
• Controlling Vortex Rotation in Dry Active Matter
• Topological Flux on a Context Manifold Generates Nonreciprocal Collective Dynamics
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• Stability and Spatial Autocorrelations of Suspensions of Microswimmers with Heterogeneous Spin
• Circular motion subject to external alignment under active driving: nonlinear dynamics and the circle map
• Dynamics of a simple model microswimmer in an anisotropic fluid: implications for alignment behavior and active transport in a nematic liquid crystal
• Phase Separation in Active Binary Mixtures With Chemical Reaction
• Chiral Active Matter
• Vortex formation in the Vicsek model with internal chirality of self-propelling objects
• Collective behaviors of self-propelled particles with tunable alignment angles