Long-lived Giant Number Fluctuations in a Swarming Granular Nematic
arXiv:cond-mat/0612020 · doi:10.1126/science.1140414
Abstract
Coherently moving flocks of birds, beasts or bacteria are examples of living matter with spontaneous orientational order. How do these systems differ from thermal equilibrium systems with such liquid-crystalline order? Working with a fluidized monolayer of macroscopic rods in the nematic liquid crystalline phase, we find giant number fluctuations consistent with a standard deviation growing linearly with the mean, in contrast to any situation where the Central Limit Theorem applies. These fluctuations are long-lived, decaying only as a logarithmic function of time. This shows that flocking, coherent motion and large-scale inhomogeneity can appear in a system in which particles do not communicate except by contact.
This is the author's version of the work. It is posted here by permission of the AAAS. The definitive version is to appear in SCIENCE
References in corpus (7)
- Novel type of phase transition in a system of self-driven particles
- Phase transition in the collective migration of tissue cells: experiment and model
- Minimal model for active nematics: quasi-long-range order and giant fluctuations
- Crystallization of a quasi-two-dimensional granular fluid
- Nonequilibrium steady states in a vibrated-rod monolayer: tetratic, nematic and smectic correlations
- Spontaneous Patterning of Confined Granular Rods
- Hydrodynamics of isotropic and liquid crystalline active polymer solutions
Cited by in corpus (372)
- Active Particles in Complex and Crowded Environments
- Collective motion
- The Mechanics and Statistics of Active Matter
- Motility-Induced Phase Separation
- Spontaneous motion in hierarchically assembled active matter
- Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles
- 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
- Collective motion of self-propelled particles interacting without cohesion
- Collective Motion of Vibrated Polar Disks
- Pressure is not a state function for generic active fluids
- Topological defect launches 3D mound in the active nematic sheet of neural progenitors
- Emergent behavior in active colloids
- Active Jamming: Self-propelled soft particles at high density
- Swarming and swirling in self-propelled polar granular rods
- A continuum theory of phase separation kinetics for active Brownian particles
- Phase behaviour of active Brownian particles: The role of dimensionality
- Topological active matter
- Active matter
- Pressure and Phase Equilibria in Interacting Active Brownian Spheres
- Computational models for active matter
- Defect annihilation and proliferation in active nematics
- Orientational order of motile defects in active nematics
- Arrested phase separation in reproducing bacteria: a generic route to pattern formation?
- Active Turbulence
- Flocking at a distance in active granular matter
- Microscopic theory for the phase separation of self-propelled repulsive disks
- Tuned, driven, and active soft matter
- A review on locomotion robophysics: the study of movement at the intersection of robotics, soft matter and dynamical systems
- Self-Propelled Rods: Insights and Perspectives for Active Matter
- Dynamics of a Brownian circle swimmer
- Statistical Mechanics of Active Ornstein Uhlenbeck Particles
- Effective Cahn-Hilliard equation for the phase separation of active Brownian particles
- The statistical physics of active matter: from self-catalytic colloids to living cells
- Inertial effects of self-propelled particles: from active Brownian to active Langevin motion
- Defect dynamics in active nematics
- Enhanced diffusion and ordering of self-propelled rods
- Dynamics of Self-Propelled Particles Under Strong Confinement
- Hydrodynamics of self-propelled hard rods
- Aggregation of self-propelled colloidal rods near confining walls
- Emergent collective phenomena in a mixture of hard shapes through active rotation
- Fluctuations and Pattern Formation in Self-Propelled Particles
- Topological structure and dynamics of three dimensional active nematics
- Velocity Correlations in an Active Nematic
- Topological defects promote layer formation in Myxococcus xanthus colonies
- Spontaneous Segregation of Self-Propelled Particles with Different Motilities
- The Physics of the Vicsek Model
- How to capture active particles
- Reentrant Phase Behavior in Active Colloids with Attraction
- Self-organized dynamics and the transition to turbulence of confined active nematics
- Temperature in and out of equilibrium: a review of concepts, tools and attempts
- Transport powered by bacterial turbulence
- Stabilization of active matter by flow-vortex lattices and defect ordering
- Tunable structure and dynamics of active liquid crystals
- Nonequilibrium glassy dynamics of self-propelled hard disks
- Swarm behavior of self-propelled rods and swimming flagella
- Active colloidal suspensions: Clustering and phase behavior
- Pushing off the walls: a mechanism of cell motility in confinement
- Entropy production and fluctuation theorems for active matter
- Disentangling and modeling interactions in fish with burst-and-coast swimming
- Shearing active gels close to the isotropic-nematic transition
- Instabilities and Topological Defects in Active Nematics
- Granular materials composed of shape-anisotropic grains
- Liquid crystal elastomer coatings with programmed response of surface profile
- Data-driven quantitative modeling of bacterial active nematics
- Long-range nematic order and anomalous fluctuations in suspensions of swimming filamentous bacteria
- Traffic jams, gliders, and bands in the quest for collective motion
- An active approach to colloidal self-assembly
- Light Activated Self-Propelled Colloids
- Emergent states in dense systems of active rods: from swarming to turbulence
- Mesoscopic Turbulence and Local Order in Janus Particles Self-Propelling under an AC Electric Field
- Hydrodynamic suppression of phase separation in active suspensions
- Verticalization of bacterial biofilms
- Vorticity, Defects and Correlations in Active Turbulence
- Active colloids in complex fluids
- Emergence and Persistence of Collective Cell Migration on Small Circular Micropatterns
- Defect unbinding in active nematics
- Traveling and resting crystals in active systems
- Collective Motion of Self-Propelled Particles with Memory
- Clustering and heterogeneous dynamics in a kinetic Monte-Carlo model of self-propelled hard disks
- Boltzmann-Ginzburg-Landau approach for continuous descriptions of generic Vicsek-like models
- Circular swimming motility and disordered hyperuniform state in an algae system
- Mesoscopic theory for fluctuating active nematics
- Excitable Patterns in Active Nematics
- Unusual swelling of a polymer in a bacterial bath
- Critical behavior of active Brownian particles
- Active Model H: Scalar Active Matter in a Momentum-Conserving Fluid
- Swarming, swirling and stasis in sequestered bristle-bots
- Diffusion of an ellipsoid in bacterial suspensions
- Activity induced synchronization: From Mutual Flocking to Chiral Self-Sorting
- Topological Sound and Flocking on Curved Surfaces
- Large-scale chaos and fluctuations in active nematics
- Cytoplasmic Streaming in Plant Cells Emerges Naturally by Microfilament Self-Organization
- Banding, Excitability and Chaos in Active Nematic Suspensions
- Collective Dynamics of Self-propelled Semiflexible Filaments
- Correlation lengths in hydrodynamic models of active nematics
- Review: Topology of solitons and singular defects in chiral liquid crystals
- A classical nucleation theory description of active colloid assembly
- Optimizing active work: Dynamical phase transitions, collective motion, and jamming
- A particle-field representation unifies paradigms in active matter
- Frozen steady states in active systems
- Shape and Displacement Fluctuations in Soft Vesicles Filled by Active Particles
- Active turbulence in active nematics
- Active fluidization in dense glassy systems
- Dynamics of defects in active nematics
- Active glasses
- Lattice Boltzmann Methods and Active Fluids
- Dynamics and density distribution of strongly confined noninteracting nonaligning self-propelled particles in a nonconvex boundary
- Collective dynamics of self-propelled particles with variable speed
- Statistical Properties of Autonomous Flows in 2D Active Nematics
- Active crystals and their stability
- Active particles under confinement: Aggregation at the wall and gradient formation inside a channel
- Continuous theory of active matter systems with metric-free interactions
- Spatial Structures and Giant Number Fluctuations in Models of Active Matter
- Flowing crystal of self-propelled particles
- Capturing self-propelled particles in a moving microwedge
- From single-particle to collective effective temperatures in an active fluid of self-propelled particles
- Nonequilibrium Statistical Mechanics of Self-propelled Hard Rods
- Symmetry properties of the large-deviation function of the velocity of a self-propelled polar particle
- Mechanical pressure and momentum conservation in dry active matter
- Active nematic materials with substrate friction
- Cluster dynamics and cluster size distributions in systems of self-propelled particles
- Phase separation and large deviations of lattice active matter
- Morphology of clusters of attractive dry and wet self-propelled spherical particle suspensions
- Steady-state distributions of ideal active Brownian particles under confinement and forcing
- Probing the shear viscosity of an active nematic
- Structure factors in granular experiments with homogeneous fluidization
- Hyperuniform Active Chiral Fluids with Tunable Internal Structure
- Active Ornstein-Uhlenbeck model for self-propelled particles with inertia
- Dynamical patterns in active nematics on a sphere
- Rectification of self-propelled particles by symmetric barriers
- Symmetric shear banding and swarming vortices in bacterial "superfluids"
- Hydrodynamics of Active Defects: from order to chaos to defect ordering
- Quantitative Assessment of the Toner and Tu Theory of Polar Flocks
- Sorting motile rods by activity
- Trapping and sorting active particles: motility-induced condensation & smectic defects
- Schools of skyrmions with electrically tunable elastic interactions
- A direct link between active matter and sheared granular systems
- Phase behavior of active Brownian disks, spheres, and dumbbells
- Aging and rejuvenation of active matter under topological constraints
- Non-Equilibrium Surface Tension of the Vapour-Liquid Interface of Active Lennard-Jones Particles
- Time-dependent inertia of self-propelled particles: the Langevin rocket
- Design of nematic liquid crystals to control microscale dynamics
- Clustering and phase behaviour of attractive active particles with hydrodynamics
- Simultaneous Phase Separation and Pattern Formation in Chiral Active Mixtures
- Confinement of two-dimensional rods in slit pores and square cavities
- Antipolar ordering of topological defects in active liquid crystals
- Thermodynamics of active field theories: Energetic cost of coupling to reservoirs
- Fabricating large two-dimensional single colloidal crystals by doping with active particles
- Dynamics of a homogeneous active dumbbell system
- Active nonreciprocal attraction between motile particles in an elastic medium
- Brownian motion of a circle swimmer in a harmonic trap
- Fluctuation-induced phase separation in metric and topological models of collective motion
- Nutrient transport driven by microbial active carpets
- Dynamic Clustering in Suspension of Motile Bacteria
- Discontinuous fluidisation transition in assemblies of actively-deforming particles: A new paradigm for collective motion in dense active materials
- Growing non-equilibrium length in granular fluids: from experiment to fluctuating hydrodynamics
- Live Soap: Order, Fluctuations and Instabilities in Active Smectics
- Active dumbbells: dynamics and morphology in the coexisting region
- The low noise phase of a 2d active nematic
- Hydrodynamic instabilities in active cholesteric liquid crystals
- Morphology of active deformable 3D droplets
- Oscillatory chiral flows in confined active fluids with obstacles
- Activity-induced clustering in model dumbbell swimmers: The role of hydrodynamic interactions
- Active nematic defects and epithelial morphogenesis
- Hydrodynamic Theory of Flocking in the Presence of Quenched Disorder
- Active Matter Class with Second-Order Transition to Quasi-Long-Range Polar Order
- Unidirectional laning and migrating cluster crystals in confined self-propelled particle systems
- Phase Separation and Emergent Structures in an Active Nematic
- Data-driven discovery of active nematic hydrodynamics
- Dynamic clustering of passive colloids in dense suspensions of motile bacteria
- A Dynamic Renormalization Group Study of Active Nematics
- Critical Phenomena in Active Matter
- Self-Sustained Density Oscillations of Swimming Bacteria Confined in Microchambers
- A mesoscopic field theoretical approach for active systems
- Spontaneous rotation can stabilise ordered chiral active fluids
- Role of friction in multidefect ordering
- Deformation of a soft boundary induced and enhanced by enclosed active particles
- Active polar fluid flow in finite droplets
- Swimmer suspensions on substrates: anomalous stability and long-range order
- Patterns, transitions and the role of leaders in the collective dynamics of a simple robotic flock
- Ordering in granular rod monolayers driven far from thermodynamic equilibrium
- Activity-suppressed phase separation
- Domain walls in two-dimensional nematics confined in a small circular cavity
- Chiral Active Particles are Sensitive Reporter to Environmental Geometry
- Dynamics of Gas-Fluidized Granular Rods
- Multiscale Microtubule Dynamics in Active Nematics
- Structure and Dynamics of a Phase-Separating Active Colloidal Fluid
- Clustering in vibrated monolayers of granular rods
- Microscopic theory for hyperuniformity in two-dimensional chiral active fluid
- Polar vs. apolar alignment in systems of polar self-propelled particles
- Gliding filament system giving both orientational order and clusters in collective motion
- Emergent smectic order in simple active particle models
- Anisotropic Isometric Fluctuation Relations in experiment and theory on a self-propelled rod
- Hard core run and tumble particles on a one dimensional lattice
- The role of fluid flow in the dynamics of active nematic defects
- Self-Organized Vortices of Circling Self-Propelled Particles and Curved Active Flagella
- Mesoscopic Simulations of Active-Nematics
- Rectified Rotational Dynamics of Mobile Inclusions in Two-Dimensional Active Nematics
- Body size affects the strength of social interactions and spatial organisation of a schooling fish (Pseudomugil signifer)
- Lattices of hydrodynamically interacting flapping swimmers
- Non-Newtonian granular hydrodynamics. What do the inelastic simple shear flow and the elastic Fourier flow have in common?
- Collective mechano-response dynamically tunes cell-size distributions in growing bacterial colonies
- Inclusions, Boundaries and Disorder in Scalar Active Matter
- Polar Fluctuations Lead to Extensile Nematic Behavior in Confluent Tissues
- Defect Spirograph: Dynamical Behavior of Defects in Spatially Patterned Active Nematics
- Designing, Synthesizing and Modeling Active Fluids
- Arrested States in Persistent Active Matter: Gelation without Attraction
- Statistical mechanics of transport processes in active fluids: Equations of hydrodynamics
- Heaping, Secondary Flows and Broken Symmetry in Flows of Elongated Granular Particles
- Statistical Mechanics of Transport Processes in Active Fluids II: Equations of Hydrodynamics for Active Brownian Particles
- Aspects of the density field in an active nematic
- Isotropic-nematic transition of self-propelled rods in three dimensions
- Fluctuating hydrodynamics and mesoscopic effects of spatial correlations in dissipative systems with conserved momentum
- Gap statistics of two interacting run and tumble particles in one dimension
- Driven active and passive nematics
- Active particles in non-inertial frames: how to self-propel on a carousel
- Hysteresis, reentrance, and glassy dynamics in systems of self-propelled rods
- Dynamics of ellipsoidal tracers in swimming algal suspensions
- Fluctuations can induce local nematic order and extensile stress in monolayers of motile cells
- Whirligig Beetles as Corralled Active Brownian Particles
- Optically enriched and guided dynamics of active skyrmions
- Boids in a Loop: Self-Propelled particles within a Flexible Boundary
- The Phase Synchronized State of Oriented Active Fluids
- Phase separation of self-propelled ballistic particles
- Anomalous fluctuations in homogeneous fluid phase of active Brownian particles
- Non-linear rheology of active particle suspensions: Insights from an analytical approach
- Exact moments and re-entrant transitions in the inertial dynamics of active Brownian particles
- Active liquid crystals powered by force-sensing DNA-motor clusters
- Competing Active and Passive Interactions Drive Amoeba-like Living Crystallites and Ordered Bands
- Motile topological defects hinder dynamical arrest in dense liquids of active ellipsoids
- Casimir effect in swimmer suspensions
- Testing a thermodynamic approach to collective animal behavior in laboratory fish schools
- Enhancing (quasi-)long-range order in a two-dimensional driven crystal
- Condensation and Intermittency in an Open Boundary Aggregation-Fragmentation Model
- Discovering dynamic laws from observations: the case of self-propelled, interacting colloids
- The structure and dynamics of self-assembling colloidal monolayers in oscillating magnetic fields
- Critical Phenomena in Quasi-Two-Dimensional Vibrated Granular Systems
- Correlated Noise and Critical Dimensions
- Steady states of active Brownian particles interacting with boundaries
- Re-entrant phase separation in nematically aligning active polar particles
- Motile dissenters disrupt the flocking of active granular matter
- Active nematics with quenched disorder
- Response of active Brownian particles to boundary driving
- Activity driven orientational order in active nematic liquid crystals on an anisotropic substrate
- Dynamical Sub-classes of Dry Active Nematics
- Ordering dynamics of self-propelled particles in an inhomogeneous medium
- Hydrodynamics, superfluidity and giant number fluctuations in a model of self-propelled particles
- Giant number fluctuations in dry active polar fluids: A shocking analogy with lightning rods
- Dressed Active Particles in Spherical Crystals
- Active dry granular flows: rheology and rigidity transitions
- Anomalous diffusion in viscosity landscapes
- Individual and collective dynamics of self-propelled soft particles
- Fluctuations, renormalizations, and a convective instability in driven wet active matter
- Capillary surfers: wave-driven particles at a vibrating fluid interface
- Mechanisms of carrier transport induced by a microswimmer bath
- Non-equilibrium dynamics of an active colloidal "chucker"
- Harmonic chain far from equilibrium: single-file diffusion, long-range order, and hyperuniformity
- Nucleation-induced transition to collective motion in active systems
- Work Fluctuations in the Active Ornstein- Uhlenbeck Particle model
- Propagating Waves in a Monolayer of Gas-Fluidized Rods
- Orbital Magnetism of Active Viscoelastic Suspension
- Time-dependent properties of run-and-tumble particles. II.: Current fluctuations
- Active polar flock with birth and death
- Force renormalization for probes immersed in an active bath
- Engineering active motion in quantum matter
- Fluctuation-Induced First Order Transition to Collective Motion
- Flocking from a quantum analogy: Spin-orbit coupling in an active fluid
- Defect absorption and emission for -atic liquid crystals on cones
- Analytical Study of Giant Fluctuations and Temporal Intermittency in an Aggregation Model
- Order parameter scaling in fluctuation dominated phase ordering
- Defects in vertically vibrated monolayers of cylinders
- Energetics of critical oscillators in active bacterial baths
- Bidirectional Wave-Propelled Capillary Spinners
- Long-range order in two-dimensional systems with fluctuating active stresses
- Coupling spin to velocity: collective motion of Hamiltonian polar particles
- Catapulting of topological defects through elasticity bands in active nematics
- Polar swimmers induce several phases in active nematics
- Stochastic motion under nonlinear friction representing shear thinning
- Order-disorder transition in active nematic: A lattice model study
- Pattern formation and phase transition in the collective dynamics of a binary mixture of polar self-propelled particles
- Proposal of a quantum version of active particles via a nonunitary quantum walk
- A unified theory of emergent equilibrium phenomena in active and passive matter
- Order-disorder transition in repulsive self-propelled particle systems
- Dynamical crossovers and correlations in a harmonic chain of active particles
- Statistical Mechanics and Hydrodynamics of Self-Propelled Hard Spheres
- Magnetized granular particles running and tumbling on
- Joint assessment of density correlations and fluctuations for analysing spatial tree patterns
- Hyperuniform states generated by a critical friction field
- A continuum model for nematic alignment of self-propelled particles
- Density and inertia effects on two-dimensional active semiflexible filament suspensions
- Trapping of an active Brownian particle at a partially absorbing wall
- Dispersionless Flat Mode and Vibrational Anomaly in Active Brownian Vibrators Induced by String-like Dynamical Defects
- A two species micro-macro model of wormlike micellar solutions and its maximum entropy closure approximations: An energetic variational approach
- Toward Task Capable Active Matter: Learning to Avoid Clogging in Confined Collectives via Collisions
- Singular Scaling Functions in Clustering Phenomena
- Noise-induced vortex reversal of self-propelled particles
- Quantifying nematic order in evaporation-driven self-assembly of Halloysite nanotubes: Nematic islands and critical aspect ratio
- Active uniaxially ordered suspensions on disordered substrates
- Dynamics of wet granular hexagons
- Data-driven discovery of stochastic dynamical equations of collective motion
- Active Polymer Behavior in Two Dimensions: A Comparative Analysis of Tangential and Push-Pull Models
- Long-lived non-equilibrium superconductivity in a non-centrosymmetric Rashba semiconductor
- Shaking-induced motility in suspensions of soft active particles
- Swarming bottom feeders: Flocking at solid-liquid interfaces
- Multi-defect Dynamics in Active Nematics
- Focusing by blocking: repeatedly generating central density peaks in self-propelled particle systems by exploiting diffusive processes
- Active Nematic Multipoles: Flow Responses and the Dynamics of Defects and Colloids
- Phase transitions on a class of generalized Vicsek-like models of collective motion
- Role of interfacial friction for flow instabilities in a thin polar ordered active fluid layer
- Physics-informed graph neural networks enhance scalability of variational nonequilibrium optimal control
- Long-wavelength instabilities in a system of interacting active particles
- A mean-field model for nematic alignment of self-propelled rods
- Statistics for an object actively driven by spontaneous symmetry breaking into reversible directions
- Enhanced Long Wavelength Mermin-Wagner Fluctuations in Active Crystals and Glasses
- Arbitrage Equilibrium, Invariance, and the Emergence of Spontaneous Order in the Dynamics of Birds Flocking
- Spatial averaging of a dissipative particle dynamics model for active suspensions
- Singular density correlations in chiral active fluids in three dimensions
- Statistical physics of active matter, cell division and cell aggregation
- Phases and correlations in active nematic granular systems
- How reciprocity impacts ordering and phase separation in active nematics?
- Boundary induced convection in a collection of polar self-propelled particles
- Hydrodynamic theory of flocking at a solid-liquid interface: long range order and giant number fluctuations
- Collective motion of granular matter subjected to swirling excitation
- Broad-tailed force distributions and velocity ordering in a heterogeneous membrane model for collective cell migration
- Active nematic gel with quenched disorder
- A Novel Method to Probe the Pronounced Growth of Correlation Lengths in an Active Glass-forming Liquids using Elongated Probe
- Active particle dynamics beyond the jamming density
- Vortex with four-fold defect lines in a simple model of self-propelled particles
- Fluctuations and symmetries in two-dimensional active gels
- Active colloid with externally induced periodic bipolar motility and its cooperative motion
- Gaussian theory for spatially distributed self-propelled particles
- Emergence of Local Ordering and Mesoscale Giant Number Fluctuations in Active Turbulence
- Hermitian and non-Hermitian topology in active matter
- Giant density fluctuations in locally hyperuniform states
- Lateral contact yields longitudinal cohesion in active undulatory systems
- Percolation of systems having hyperuniformity or giant number-fluctuations
- Spatial flocking: Control by speed, distance, noise and delay
- Topological signatures of collective dynamics and turbulent-like energy cascades in apolar active granular
- Mean first-passage time of an anisotropic diffusive searcher
- Fluctuation dominated phase ordering in coarse-grained depth models: Domain wall structures, extreme values and coarsening
- Spontaneous rotation and propulsion of suspended capsules in active nematics
- Interacting passive advective scalars in an active medium
- Mobility-induced phase separation in a binary mixture of active Brownian particles
- Transient phases in the Vicsek model of flocking
- Variational bounds and nonlinear stability of an active nematic suspension
- Dynamic Phases and Combing Effects for Elongated Particles Moving Over Quenched Disorder
- Jamming of active particles in narrow pores: Implications for ratchet effect and diffusion coefficient
- Global Existence and Regularity for the Active Liquid Crystal System
- Shape anisotropy governs organization of active rods: Swarming, turbulence, flocking, and jamming
- Density Fluctuations and Energy Spectra of 3D Bacterial Suspensions
- Inertia-chirality interplay in active Brownian motion: exact dynamics and phase maps
- Active chain spirograph: Dynamic patterns formed in extensible chains due to follower activity
- Phase separation of self-propelled disks with ferromagnetic and nematic alignment
- Activity-induced phase transition and coarsening dynamics in dry apolar active nematics
- On-lattice Vicsek model in confined geometries
- A Simple Model of Cell Proliferation of Bacteria Using Min Oscillation
- Pseudo-giant number fluctuations and nematic order in microswimmer suspensions
- A Novel Mechanism of Ordering in a Coupled Driven System: Vacancy Induced Phase Separation
- Rheology of bacterial suspensions under confinement
- Topology of orientational defects in confined smectic liquid crystals
- Driven active matter: fluctuations and a hydrodynamic instability
- Passive Janus Particles Are Self-propelled in Active Nematics
- Waveform Proportionality and Taylor's Law Induced by Synchronization of Periodic and Chaotic Oscillators
- Effect of the background flow on the motility induced phase separation
- Effective single component description of steady state structures of passive particles in an active bath
- A phase diagram for bacterial swarming
- Self-similar inhomogeneous stationary states under constrained dynamics
- Filamentous Active Matter: Band Formation, Bending, Buckling, and Defects
- Learning general pair interactions between self-propelled particles
- Edge states, pairing, and sorting of motile chiral particles