Novel type of phase transition in a system of self-driven particles

Abstract

A simple model with a novel type of dynamics is introduced in order to investigate the emergence of self-ordered motion in systems of particles with biologically motivated interaction. In our model particles are driven with a constant absolute velocity and at each time step assume the average direction of motion of the particles in their neighborhood with some random perturbation ($\eta$) added. We present numerical evidence that this model results in a kinetic phase transition from no transport (zero average velocity, $|{\mathbf{v}}_a|=0$) to finite net transport through spontaneous symmetry breaking of the rotational symmetry. The transition is continuous since $|{\mathbf{v}}_a|$ is found to scale as $({\eta }_c-\eta {)}^{\beta }$ with $\beta \simeq 0.45$.

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• Phase Behavior and Dynamics of Active Brownian Particles in an Alignment Field
• Mean-Field Pontryagin Maximum Principle
• Transmission of mobility via cooperative mechanisms in soft active matter
• Domain Growth Kinetics in Active Binary Mixtures
• Reentrant phase behavior in binary topological flocks with nonreciprocal alignment
• An early warning method for crush
• Cluster tomography in percolation
• Local well-posedness of the generalized Cucker-Smale model
• Free energy of a chemotactic model with nonlinear diffusion
• Minimal mechanism for flocking in phoretically interacting active particles
• Guided run-and-tumble active particles: wall accumulation and preferential deposition
• Rotating cluster formations emerge in an ensemble of active particles
• How zealots affect the energy cost for controlling complex social networks
• Aligning Active Particles Py Package
• Hydrodynamics without Boost-Invariance from Kinetic Theory: From Perfect Fluids to Active Flocks
• Phase behaviour of active particles in block copolymer melts
• Macroscopic bioinspired magnetic active matter and the physical limits of magnetotaxis
• Modeling Personalized Dynamics of Social Network and Opinion at Individual Level
• Collective Motion in Active Materials: Model Experiments
• Self-Propelled Collective Motion with Multiplicative Scalar Noise
• Three-state active lattice gas: a discrete Vicseklike model with excluded volume
• Topological signatures of collective dynamics and turbulent-like energy cascades in apolar active granular
• Emergent short-range repulsion for attractively coupled active particles
• Active Matter Flocking via Predictive Alignment
• Improving estimation of entropy production rate for run-and-tumble particle systems by high-order thermodynamic uncertainty relation
• Emergence of intelligent collective motion in a group of agents with memory
• Vicsek Model Meets DBSCAN: Cluster Phases in the Vicsek Model
• Flocking with random non-reciprocal interactions
• Power laws of natural swarms are fingerprints of an extended critical region
• Collective excitations in active solids featuring alignment interactions
• On the stability of the Kuramoto model of coupled nonlinear oscillators
• A 2-D suspension of active agents: the role of fluid mediated interactions
• Diagrammatics for the Inverse Problem in Spin Systems and Simple Liquids
• Model for clustering of living species
• Stability Analysis of Flock and Mill rings for 2nd Order Models in Swarming
• MacroSwarm: A Field-based Compositional Framework for Swarm Programming
• Consensus of Multi-Agent Systems Using Back-Tracking and History Following Algorithms
• From Kinetic Flocking Model of Cucker-Smale Type to Self-Organized Hydrodynamic model
• Symmetry and stability of orientationally ordered collective motions of self-propelled, semiflexible filaments
• Counting equilibria of the Kuramoto model using birationally invariant intersection index
• Visual collective behaviors on spherical robots
• Solitary wave state in the nonlinear Kramers equation for self-propelled particles
• Dynamic phase transition induced by active molecules simulating a facilitation mechanism in a supercooled liquid
• Reinforcement Learning for Active Matter
• Consequence of anisotropy on flocking: the discretized Vicsek model
• Hermitian and non-Hermitian topology in active matter
• Repulsive torques alone trigger crystallization of constant speed active particles
• Synchronized Rotations of Active Particles on Chemical Substrates
• Role of temperature and alignment activity on kinetics of coil-globule transition of a flexible polymer
• Birds on a Wire
• Scale-free chaos in the 2D harmonically confined Vicsek model
• Pulsed interactions unify reaction-diffusion and spatial nonlocal models for biological pattern formation
• Characterizing structural features of two-dimensional particle systems through Voronoi topology
• Field Theory of Active Brownian Particles with Dry Friction
• Lateral contact yields longitudinal cohesion in active undulatory systems
• Body-attitude coordination in arbitrary dimension
• Visually Guided Swarm Motion Coordination via Insect-inspired Small Target Motion Reactions
• Dry, aligning, dilute, active matter: A synthetic and self-contained overview
• A Consensus-Based Load-Balancing Algorithm for Sharded Blockchains
• Collective dynamics and shattering of disturbed two-dimensional Lennard-Jones crystals
• Lattice Boltzmann simulations of self-propelling chiral active droplets
• Event-based Reconfiguration Control for Time-varying Formation of Robot Swarms in Narrow Spaces
• Anti-hyperuniform Critical States of Active Topological Defects
• Mobility-induced phase separation in a binary mixture of active Brownian particles
• Entropy production in non-reciprocal polar active mixtures
• Optimal flock formation induced by agent heterogeneity
• Spiral folding of a flexible chain of chiral active particles
• From reductionism to realism: Holistic mathematical modelling for complex biological systems
• Anti-aligning Self-propelled Model of Two Species: Emergence of Self-organized Heterogeneous Aligned and Clustered Order
• Unified description of viscous, viscoelastic, or elastic thin active films on substrates
• Rheologically tuned modes of collective transport in active viscoelastic films
• Patterned Dynamics of Delay-Coupled Swarms with Random Communication Graphs
• Collective dynamics of densely confined active polar disks with self- and mutual alignment
• The inverse Kalman filter
• Strain rate controls alignment in growing bacterial monolayers
• Discrete Laplacian thermostat for flocks and swarms: the fully conserved Inertial Spin Model
• Asymmetric Nucleation Processes in Spontaneous Mode Switch of Active Matter
• Nematic alignment of self-propelled particles in the macroscopic regime
• A GPU-based Hydrodynamic Simulator with Boid Interactions
• Activity-driven emulsification of phase-separating binary mixtures
• Initial perturbations dependence of non-equilibrium continuous and discontinuous pattern transition
• Hydrodynamic limits for kinetic flocking models of Cucker-Smale type
• Soft Control on Collective Behavior of a Group of Autonomous Agents by a Shill Agent
• Weighted Axelrod model: different but similar
• Band structure in collective motion with quenched range of interaction
• Dynamics of pattern formation and emergence of swarming in C. elegans
• The Emergence of Lines of Hierarchy in Collective Motion of Biological Systems
• The BKT Transition and its Dynamics in a Spin Fluid
• Pair correlation function based on Voronoi topology
• Identifying the mechanism for superdiffusivity in mouse fibroblast motility
• Effect of inertia on the evasion and pursuit dynamics of prey swarms and the emergence of an optimal mass ratio for the predator-prey arms race
• Spontaneous collective transport in a heat--bath
• Prediction and Mitigation of Crush Conditions in Emergency Evacuations
• An Overview of Recent Progress in the Study of Distributed Multi-agent Coordination
• Renormalization group study of marginal ferromagnetism
• Pattern-Acquisition in Finite, Heterogenous, Delay-Coupled Swarms
• Discrete Cucker-Smale's flocking model with a weakly singular weight
• Control to flocking of the kinetic Cucker-Smale model
• Acoustic Power Management by Swarms of Microscopic Robots
• Are energy savings the only reason for the emergence of bird echelon formation?
• The Total s-Energy of a Multiagent System
• Escape rate of an active Brownian particle in a rough potential
• Collective motion from quantum-inspired dynamics in visual perception
• Collective motion of oscillatory walkers
• Nonequilibrium Critical Scaling of a Squeezing Phase Transition
• Flocking in noisy environments
• Topological defects in polar active matter
• Phase transitions in voting simulated by an intelligent Ising model
• Informational Memory Shapes Collective Behavior in Intelligent Swarms
• Structural fluctuations in active glasses
• Swarming dynamics of a model for biological groups in two dimensions
• Jerky chiral active particles
• Phase separation of self-propelled disks with ferromagnetic and nematic alignment
• Bugs with Features: Vision-Based Fault-Tolerant Collective Motion Inspired by Nature
• Phase transition of the 3-majority opinion dynamics with noisy interactions
• A minimal model with stochastically broken reciprocity
• Persistent exclusion process with time-periodic drive
• Phase separation in a chiral active fluid of inertial self-spinning disks
• American coot collective on-water dynamics
• Flocking dynamics mediated by weighted social networks
• Traveling Fronts and the Smoothing of the Collective-Motion Phase Transition in Vibrated Polar Disks
• Interplay between pitch control and top speed in soccer: The stamina factor
• Bidirectional Zigzag Growth from Clusters of Active Colloidal Shakers
• Reduced density fluctuations via anti-aligning in active matter
• Advanced Algorithms of Collision Free Navigation and Flocking for Autonomous UAVs
• Distributed Neighbor Selection in Multi-agent Networks
• Local sensitivity analysis for the Cucker-Smale model with random inputs
• Delay Robustness of Consensus Algorithms: Beyond The Uniform Connectivity (Extended Version)
• Self-organized UAV Traffic in Realistic Environments
• Flocking transition in phoretically interacting active particles with pinning disorder
• Sedimentation and structure of squirmer suspensions under gravity
• Activity-induced phase transition and coarsening dynamics in dry apolar active nematics
• Braided mixing in confined chiral active matter
• Phototactic cyanobacteria as an active matter system
• Stability of continuous-time distributed consensus algorithms
• Bubble formation in active binary mixture model
• Crossover dynamics and non-Gaussian fluctuations in inertial active chains
• On Krause's multi-agent consensus model with state-dependent connectivity (Extended version)
• Generalizing Egocentric Temporal Neighborhoods to probe for spatial correlations in temporal networks and infer their topology
• Boltzmann approach to collective motion via nonlocal visual interaction
• Emergence of stochastic flocking for the discrete Cucker-Smale model with randomly switching topologies
• Dynamics of packed swarms: time-displaced correlators of two dimensional incompressible flocks
• Bird Flocking Inspired Control Strategy for Multi-UAV Collective Motion
• On the stochastic flocking of the Cucker-Smale flock with randomly switching topologies
• Continuous-time average-preserving opinion dynamics with opinion-dependent communications
• Macroscopic limit of a Fokker-Planck model of swarming rigid bodies
• Zoology of collective patterns modulated by non-reciprocal, long-range interactions
• Active Brownian particles in power-law viscoelastic media
• Energy-efficient flocking with nonlinear navigational feedback
• Structurally Observable Distributed Networks of Agents under Cost and Robustness Constraints
• A primer of swarm equilibria
• Flocking and spreading dynamics in populations of self-propelled agents
• Bearing-Distance Flocking with Zone-Based Interactions in Constrained Dynamic Environments
• Predicting the response of structurally altered and asymmetrical networks
• The importance of being discrete -- An agent-based model for active nematics and more
• Intrinsic statistical separation of subpopulations in heterogeneous collective motion via dimensionality reduction
• Stability of discrete-symmetry flocks: sandwich state, traveling domains and motility-induced pinning
• Asymptotic Fixed-Speed Reduced Dynamics for Kinetic Equations in Swarming
• Yielding in dense active matter
• Restrictions on the dynamic growth of navigation accuracy in groups of animals
• Hamiltonian Active Particles in Incompressible Fluid Membranes
• Generating consensus and dissent on massive discussion platforms with a semantic-vector model
• Information conduction and convection in noiseless Vicsek flocks
• Derivation and Analysis of Amplitude Equation for Generalized AMB+ in Presence of Chemical Reaction
• Polar flocks with discretized directions: the active clock model approaching the Vicsek model
• Effective single component description of steady state structures of passive particles in an active bath
• Curvature controlled defect dynamics in topological active nematics
• Field-controlled interfacial transport and pinning in an active spin system
• Collective motions of heterogeneous swarms
• Flocking of the Cucker-Smale and Motsch-Tadmor models on general weighted digraphs via a probabilistic method
• A minimal model of predator-swarm interactions
• Absence of $\mathrm{O}(2)$ symmetry in the Vicsek model
• Beyond the Markovian limit: Exact solutions for active motion in a power-law viscoelastic bath
• From Active to Odd to Smart Matter
• Collective Dynamics of Interacting Particles in Unsteady Flows
• Vortex formation in the Vicsek model with internal chirality of self-propelling objects
• Continuum model for linked fibers with alignment interactions
• Mean-field and kinetic limit of affine control systems: optimal control through leaders
• A Note on the Consensus Finding Problem in Communication Networks with Switching Topologies
• Individual particle persistence antagonizes global ordering in populations of nematically-aligning self-propelled particles
• Suppression of discontinuous phase transitions by particle diffusion
• Collective Movement with Signaling
• Invariance of velocity angles and flocking in the Inertial Spin model
• When soft crystals defy Newton's third law: Non-reciprocal mechanics and dislocation motility
• Brownian motion in a growing population of ballistic particles
• A Nonlinear Consensus Algorithm Derived from Statistical Physics
• Simulation of a flat folding nano-swimmer confined in a nanopore
• Wave turbulence and collective behavior models for wave equations with short- and long-range interactions
• Emergent Behaviors over Signed Random Dynamical Networks: Relative-State-Flipping Model
• On the hydrodynamics of active matter models on a lattice
• A nonlocal continuum model for biological aggregation
• Susceptibility of Orientationally-Ordered Active Matter to Chirality Disorder
• The dynamics of sperm cooperation in a competitive environment
• Synchronization with partial state coupling on SO(n)
• Inverse modeling of time-delayed interactions via the dynamic-entropy formalism
• State Agreement in Finite Time
• Random many-particle systems: applications from biology, and propagation of chaos in abstract models
• The Inertial Spin Model of flocking with position-dependent forces
• Multi-agent reinforcement learning using echo-state network and its application to pedestrian dynamics
• Scenario Generalization of Data-driven Imitation Models in Crowd Simulation
• Safe Coverage of Moving Domains for Vehicles with Second Order Dynamics
• Time-Varying and Nonlinearly Scaled Consensus of Multiagent Systems: A Generic Attracting Law Approach
• Noncentral forces mediated between inclusions in a bath of active Brownian rods
• Modelling heterogeneous outcomes in multi-agent systems
• Flow coupling between active and passive fluids across water-oil interfaces
• Bounded confidence dynamics and graph control: enforcing consensus
• Pair Formation in Insect Swarms Driven by Adaptive Long-Range Interactions
• On the Optimal Interaction Range for Multi-Agent Systems Under Adversarial Attack
• High-dimensional continuification control of large-scale multi-agent systems under limited sensing and perturbations
• Biomechanics of Collective Cell Migration in Cancer Progression -- Experimental and Computational Methods
• Modelling Hierarchical Flocking
• Mean field approximation of a heterogeneous population of plants in competition
• On-lattice Vicsek model in confined geometries
• Randomness in the choice of neighbours promotes cohesion in mobile animal groups
• Collective treadmilling in fire ant rafts permits sustained protrusion growth
• Asynchronous Consensus in Continuous-Time Multi-Agent Systems With Switching Topology and Time-Varying Delays
• Emergence of synchronization in Kuramoto model with general digraph
• Effect of the background flow on the motility induced phase separation
• Natural frames and interacting particles in three dimensions
• Emergence in Science
• Modelling vehicle and pedestrian collective dynamics: Challenges and advances
• Noise-induced transitions from contractile to extensile active stress in isotropic fluids
• Estimation of spatial and time scales of collective behaviors of active matters through learning hydrodynamic equations from particle dynamics
• Unique superdiffusion induced by directionality in multiplex networks
• Circular motion subject to external alignment under active driving: nonlinear dynamics and the circle map
• Micro-Macro Decomposition of Particle Swarm Optimization Methods
• Optimizing collective fieldtaxis of swarming agents through reinforcement learning
• Viscotaxis of chiral microswimmer in viscosity gradients
• Sensitive particle shape dependence of growth-induced mesoscale nematic structure
• Collective behaviors of self-propelled particles with tunable alignment angles
• The effect of self-induced Marangoni flow on polar-nematic waves in active-matter systems
• Output Consensus of Networked Hammerstein and Wiener Systems
• Experimental feature of bicycle flow and its modeling
• Local disalignment can promote coherent collective motion through rapid information transfer
• Collective patterns of pedestrians interacting with attractions
• Chiral Active Matter
• Emergence of Self-Organized Amoeboid Movement in a Multi-Agent Approximation of Physarum polycephalum
• Emergent centrality in rank-based supplanting process
• Noise Induced Pattern Switching in Randomly Distributed Delayed Swarm Patterns
• Hydrodynamics of simple active liquids: the emergence of velocity correlations
• Quantifying Influence and Information Transfer in a Modified Vicsek Model with Non-reciprocal Interactions
• Target-density formation in swarms with stochastic sensing and dynamics
• Synchronization Clustering based on a Linearized Version of Vicsek model
• Reaching Agreement in Quantum Hybrid Networks
• Hydrodynamic bend instability of motile particles on a substrate
• Defect-Mediated Aggregation and Motility-Induced Phase Separation in Self-Propelled Lattice-Gas Active XY Model
• Snowdrift game induces pattern formation in systems of self-propelled particles
• New universality classes govern the critical and multicritical behavior of an active Ising model
• Learning general pair interactions between self-propelled particles
• Rolling at right angles: magnetic anisotropy enables dual-anisotropic active matter
• Stability and Spatial Autocorrelations of Suspensions of Microswimmers with Heterogeneous Spin
• An effective control of large systems of active particles: An application to evacuation problem
• First-order condensation transition in the position distribution of a run-and-tumble particle in one dimension
• Shape-specific fluctuations of an active colloidal interface
• A facilitation-induced fluidization transition in supercooled water triggered by a few active molecules
• Anonymous leadership and stochastic resonance in collectives of self-propelled robots
• Randomly Distributed Delayed Communication and Coherent Swarm Patterns
• A Model of Synchronization for Self-Organized Crowding Behavior
• Confinement-induced collective motion in suspensions of run-and-tumble particles
• Reduced fluid models for self-propelled particles interacting through alignment
• Controlling Vortex Rotation in Dry Active Matter