Pattern formation in self-propelled particles with density-dependent motility

Abstract

We study the behaviour of interacting self-propelled particles, whose self-propulsion speed decreases with their local density. By combining direct simulations of the microscopic model with an analysis of the hydrodynamic equations obtained by explicitly coarse graining the model, we show that interactions lead generically to the formation of a host of patterns, including moving clumps, active lanes and asters. This general mechanism could explain many of the patterns seen in recent experiments and simulations.

References in corpus (24)

• Novel type of phase transition in a system of self-driven particles
• The Mechanics and Statistics of Active Matter
• Flocks, herds, and schools: A quantitative theory of flocking
• Hydrodynamic fluctuations and instabilities in ordered suspensions of self-propelled particles
• Onset of collective and cohesive motion
• Statistical Mechanics of Interacting Run-and-Tumble Bacteria
• Collective motion of self-propelled particles interacting without cohesion
• Langevin Equation for the Density of a System of Interacting Langevin Processes
• Non-equilibrium clustering of self-propelled rods
• Active Jamming: Self-propelled soft particles at high density
• Large-scale collective properties of self-propelled rods
• Moving and staying together without a leader
• Hydrodynamic equations for self-propelled particles: microscopic derivation and stability analysis
• Arrested phase separation in reproducing bacteria: a generic route to pattern formation?
• Enhanced diffusion and ordering of self-propelled rods
• Fluctuations and Pattern Formation in Self-Propelled Particles
• Spontaneous Segregation of Self-Propelled Particles with Different Motilities
• Swarm behavior of self-propelled rods and swimming flagella
• Structure formation in active networks
• Lattice Models of Nonequilibrium Bacterial Dynamics
• Traffic jams, gliders, and bands in the quest for collective motion
• Mapping out of equilibrium into equilibrium in one-dimensional transport models
• Macroscopic equations for pattern formation in mixtures of microtubules and motors
• Self-organized Pattern Formation in Motor-Microtubule Mixtures

Cited by in corpus (170)

• Non-Hermitian Physics
• Motility-Induced Phase Separation
• Emergence of macroscopic directed motion in populations of motile colloids
• Non-reciprocal phase transitions
• When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation
• A continuum theory of phase separation kinetics for active Brownian particles
• Phase behaviour of active Brownian particles: The role of dimensionality
• Topological active matter
• Pressure and Phase Equilibria in Interacting Active Brownian Spheres
• Active Brownian Particles and Run-and-Tumble Particles: a Comparative Study
• The statistical physics of active matter: from self-catalytic colloids to living cells
• From Phase to Micro-Phase Separation in Flocking Models: The Essential Role of Non-Equilibrium Fluctuations
• The Rotating Vicsek Model: Pattern Formation and Enhanced Flocking in Chiral Active Matter
• The Physics of the Vicsek Model
• Generalized Thermodynamics of Phase Equilibria in Scalar Active Matter
• Large-scales patterns in a minimal cognitive flocking model: incidental leaders, nematic patterns, and aggregates
• Nonequilibrium glassy dynamics of self-propelled hard disks
• Revisiting the flocking transition using active spins
• Generalized thermodynamics of Motility-Induced Phase Separation: Phase equilibria, Laplace pressure, and change of ensembles
• Active colloidal suspensions: Clustering and phase behavior
• Optimal noise maximizes collective motion in heterogeneous media
• Interrupted Motility Induced Phase Separation in Aligning Active Colloids
• Emergent states in dense systems of active rods: from swarming to turbulence
• Hydrodynamic suppression of phase separation in active suspensions
• Light-induced self-assembly of active rectification devices
• Active phase separation by turning toward regions of higher density
• Motility-induced phase separation and coarsening in active matter
• Boltzmann-Ginzburg-Landau approach for continuous descriptions of generic Vicsek-like models
• Active Model H: Scalar Active Matter in a Momentum-Conserving Fluid
• Activity induced synchronization: From Mutual Flocking to Chiral Self-Sorting
• Flocking with discrete symmetry: the 2d Active Ising Model
• Emergent spatial structures in flocking models: a dynamical system insight
• Traveling fronts in active-passive particle mixtures
• Freezing a Flock: Motility-Induced Phase Separation in Polar Active Liquids
• Collective dynamics of self-propelled particles with variable speed
• Pattern formation in flocking models: A hydrodynamic description
• Active particles under confinement: Aggregation at the wall and gradient formation inside a channel
• Controlling active self-assembly through broken particle symmetries
• Flowing crystal of self-propelled particles
• Capturing self-propelled particles in a moving microwedge
• Learning hydrodynamic equations for active matter from particle simulations and experiments
• Clustering and flocking of repulsive chiral active particles with non-reciprocal couplings
• Reconfigurable Artificial Microswimmers with Internal Feedback
• Velocity alignment promotes motility-induced phase separation
• Self-propelled particles with selective attraction-repulsion interaction - From microscopic dynamics to coarse-grained theories
• Motility-induced phase separation of active particles in the presence of velocity alignment
• Active Brownian particles with velocity-alignment and active fluctuations
• Quantitative Assessment of the Toner and Tu Theory of Polar Flocks
• Robust boundary flow in chiral active fluid
• A kinetic model and scaling properties for non-equilibrium clustering of self-propelled particles
• Anomalous Topological Active Matter
• Critical Phenomenon of the Order-Disorder Transition in Incompressible Flocks
• How dissipation constrains fluctuations in nonequilibrium liquids: Diffusion, structure and biased interactions
• Simultaneous Phase Separation and Pattern Formation in Chiral Active Mixtures
• How many dissenters does it take to disorder a flock?
• Dissipation controls transport and phase transitions in active fluids: Mobility, diffusion and biased ensembles
• Active Matter Ratchets with an External Drift
• Mesoscale pattern formation of self-propelled rods with velocity reversal
• Thermodynamics of active field theories: Energetic cost of coupling to reservoirs
• Stealth entropy production in active field theories near Ising critical points
• Giant fluctuations and structural effects in a flocking epithelium
• Oriented Active Solids
• Comparison between Smoluchowski and Boltzmann approaches for self-propelled rods
• Interface stability, interface fluctuations, and the Gibbs-Thomson relation in motility-induced phase separations
• Traveling Bands, Clouds, and Vortices of Chiral Active Matter
• Collective motion in large deviations of active particles
• Elasticity Induced Force Reversal Between Active Spinning Particles in Dense Passive Media
• Thermodynamics of emergent structure in active matter
• Activity-induced clustering in model dumbbell swimmers: The role of hydrodynamic interactions
• Active Matter Class with Second-Order Transition to Quasi-Long-Range Polar Order
• Active motion on curved surfaces
• Phase Separation and Emergent Structures in an Active Nematic
• Pattern formation in active particle systems due to competing alignment interactions
• Emergence of Lévy Walks in Systems of Interacting Individuals
• Active Brownian Rods
• Micro-flock patterns and macro-clusters in chiral active Brownian disks
• Chapman-Enskog expansion for the Vicsek model of self-propelled particles
• Time-reversal symmetry violations and entropy production in field theories of polar active matter
• Roles of energy dissipation in a liquid-solid transition of out-of-equilibrium systems
• Intermittent Attractive Interactions Lead to Microphase Separation in Non-motile Active Matter
• From scalar to polar active matter: Connecting simulations with mean-field theory
• An Introduction to Motility-Induced Phase Separation
• Rheology of active fluids
• Numerical treatment of the Boltzmann equation for self-propelled particle systems
• Incompressible polar active fluids in the moving phase
• Emergence of collective motion in a model of interacting Brownian particles
• Run-and-Tumble particle in inhomogeneous media in one dimension
• Bodies in an Interacting Active Fluid: Far-Field Influence of a Single Body and Interaction Between Two Bodies
• Hydrodynamics of Turning Flocks
• Particle-scale statistical theory for hydrodynamically induced polar ordering in microswimmer suspensions
• Pair correlation of dilute Active Brownian Particles: from low activity dipolar correction to high activity algebraic depletion wings
• Speed-Dispersion Induced Alignment : a 1D model inspired by swimming droplets experiments
• Collective behavior of self-propelled rods with quorum sensing
• Flocking and reorientation transition in the 4-state active Potts model
• Formation and collision of traveling bands in interacting deformable self-propelled particles
• Control of Active Brownian Particles: An exact solution
• Diversity of phase transitions and phase separations in active fluids
• Emerging mesoscale flows and chaotic advection in dense active matter
• Sufficient conditions for wave instability in three-component reaction-diffusion systems
• Flocking with a $q$-fold discrete symmetry: band-to-lane transition in the active Potts model
• Spiral and never-settling patterns in active suspensions
• Theory of Capillary Tension and Interfacial Dynamics of Motility-Induced Phases
• Motility induced phase separation of deformable cells
• Pattern formation in polymerising actin flocks: spirals, spots and waves without nonlinear chemistry
• Estimation of the critical behavior in an active colloidal system with Vicsek-like interactions
• Chaotic and periodical dynamics of active chiral droplets
• Morphology and flow patterns in highly asymmetric active emulsions
• Critical behavior of quorum-sensing active particles
• Theoretical approaches to the steady-state statistical physics of interacting dissipative units
• Topological sound in active-liquid metamaterials
• Additivity, density fluctuations, and nonequilibrium thermodynamics for active Brownian particles
• 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
• Effective run-and-tumble dynamics of bacteria baths
• Individual and collective dynamics of self-propelled soft particles
• Signal propagation and linear response in the delay Vicsek model
• Mean field approach of dynamical pattern formation in underdamped active matter with short-ranged alignment and distant anti-alignment interactions
• Osmosis with active solutes
• Flocking in One Dimension: Asters and Reversals
• Dynamical structures in phase-separating non-reciprocal polar active mixtures
• Synchronization and collective motion of globally coupled Brownian particles
• Flocking from a quantum analogy: Spin-orbit coupling in an active fluid
• Hyperuniformity and conservation laws in non-equilibrium systems
• Statistical multi-moment bifurcations in random delay coupled swarms
• Jamming and flocking in the restricted active Potts model
• Order-disorder transition in active nematic: A lattice model study
• Collective Hall current in chiral active fluids: Coupling of phase and mass transport through traveling bands
• Pattern formation and phase transition in the collective dynamics of a binary mixture of polar self-propelled particles
• Deriving hydrodynamic equations from dry active matter models in three dimensions
• Uncovering novel phase transitions in dense dry polar active fluids using a lattice Boltzmann method
• Statistical Mechanics and Hydrodynamics of Self-Propelled Hard Spheres
• Optimal collision avoidance in swarms of active Brownian particles
• Superdiffusion in self-reinforcing run-and-tumble model with rests
• Active cluster crystals
• Nematic Torques in Scalar Active Matter: when Fluctuations Favor Polar Order and Persistence
• Coarse-graining the vertex model and its response to shear
• Braiding a flock: winding statistics of interacting flying spins
• Capturing pattern bi-stability dynamics in delay-coupled swarms
• Microphase separation in active filament systems is maintained by cyclic dynamics of cluster size and order
• Derivation of a macroscopic model for Brownian hard needles
• Transport coefficients of self-propelled particles. II. Numerics for vorticity fluctuations and the reverse perturbation method
• Phase transitions on a class of generalized Vicsek-like models of collective motion
• Transport coefficients of self-propelled particles: Reverse perturbations and transverse current correlations
• Passive objects in confined active fluids: a localization transition
• Propagating wave in the flock of self-propelled particles
• Emergent clustering due to quorum sensing interactions in active matter
• Discussion on Ohta et al., "Traveling bands in self-propelled soft particles"
• Gaussian theory for spatially distributed self-propelled particles
• Competition between lanes and transient jammed clusters in driven binary mixtures
• Aggregation of self-propelled particles with sensitivity to local order
• Vortex with four-fold defect lines in a simple model of self-propelled particles
• AMEP: The Active Matter Evaluation Package for Python
• Collective Motion in Active Materials: Model Experiments
• Flow spatial structure determines pattern instabilities in nonlocal models of population dynamics
• Pattern-Acquisition in Finite, Heterogenous, Delay-Coupled Swarms
• Fluctuating Hydrodynamics Describes Transport in Cellular Aggregates
• Motility-induced crystallization and rotating crystallites
• Active Lévy Matter: Anomalous Diffusion, Hydrodynamics and Linear Stability
• Self-Organized Hydrodynamics with nonconstant velocity
• A Field-Theoretic Model for Chemotaxis in Run and Tumble Particles
• An Infinite Set of Integral Formulae for Polar, Nematic, and Higher Order Structures at the Interface of Motility-Induced Phase Separation
• Phase separation of self-propelled disks with ferromagnetic and nematic alignment
• Flocking and spreading dynamics in populations of self-propelled agents
• Chiral Active Matter
• Control of collective activity to crystallize an oscillator gas
• Noise Induced Pattern Switching in Randomly Distributed Delayed Swarm Patterns
• Information conduction and convection in noiseless Vicsek flocks
• A phenomenological multiscale framework for orientational interactions and viscoelasticity in migrating epithelial monolayers
• Dispersal and organization of polarized cells: non-linear diffusion and cluster formation without adhesion
• Phases and homogeneous ordered states in alignment-based self-propelled particle models