Self-organization in systems of self-propelled particles

Abstract

We investigate a discrete model consisting of self-propelled particles that obey simple interaction rules. We show that this model can self-organize and exhibit coherent localized solutions in one- and in two-dimensions.In one-dimension, the self-organized solution is a localized flock of finite extent in which the density abruptly drops to zero at the edges.In two-dimensions, we focus on the vortex solution in which the particles rotate around a common center and show that this solution can be obtained from random initial conditions, even in the absence of a confining boundary. Furthermore, we develop a continuum version of our discrete model and demonstrate that the agreement between the discrete and the continuum model is excellent.

4 pages, 5 figures

References in corpus (2)

• Novel type of phase transition in a system of self-driven particles
• Noise-induced breakdown of coherent collective motion in swarms

Cited by in corpus (95)

• Active Brownian Particles. From Individual to Collective Stochastic Dynamics
• Onset of collective and cohesive motion
• Collective motion of self-propelled particles interacting without cohesion
• Phase transition in the collective migration of tissue cells: experiment and model
• Boltzmann and hydrodynamic description for self-propelled particles
• Moving and staying together without a leader
• Hydrodynamic equations for self-propelled particles: microscopic derivation and stability analysis
• A well-posedness theory in measures for some kinetic models of collective motion
• Microscopic theory for the phase separation of self-propelled repulsive disks
• State Transitions and the Continuum Limit for a 2D Interacting, Self-Propelled Particle System
• A review on locomotion robophysics: the study of movement at the intersection of robotics, soft matter and dynamical systems
• Aggregation of self-propelled colloidal rods near confining walls
• A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure
• Topological Data Analysis of Biological Aggregation Models
• The derivation of Swarming models: Mean-Field Limit and Wasserstein distances
• Noise-Induced Transition from Translational to Rotational Motion of Swarms
• Deformable self-propelled particles
• A model for rolling swarms of locusts
• Asymptotic dynamics of attractive-repulsive swarms
• Invasion-wave induced first-order phase transition in systems of active particles
• Global regularity for the fractional Euler alignment system
• Collective motion of binary self-propelled particle mixtures
• Acoustic Communication for Medical Nanorobots
• Collective signal processing in cluster chemotaxis: roles of adaptation, amplification, and co-attraction in collective guidance
• Optimal View Angle in Collective Dynamics of Self-propelled Agents
• Nonlinear stability of flock solutions in second-order swarming models
• Modeling Vortex Swarming In Daphnia
• A new interaction potential for swarming models
• Self-Organization and Artificial Life
• Understanding Collective Dynamics of Soft Active Colloids by Binary Scattering
• The McKean-Vlasov Equation in Finite Volume
• Analyzing Collective Motion with Machine Learning and Topology
• First order phase transition in a self-propelled particles model with variable angular range of interaction
• The Effect of Sensory Blind Zones on Milling Behavior in a Dynamic Self-Propelled Particle Model
• Consensus of self-driven agents with avoidance of collisions
• Phase transitions induced by complex nonlinear noise in a system of self-propelled agents
• Emergence of Lévy Walks in Systems of Interacting Individuals
• Explicit Flock Solutions for Quasi-Morse potentials
• Flocking Regimes in a Simple Lattice Model
• Obstacle and predator avoidance by a flock
• Thermal and Athermal Swarms of Self-Propelled Particles
• Self-Assembling of Networks in an Agent-Based Model
• Motility versus fluctuations in mixtures of self-propelled and passive agents
• Self-Propelling Rotator Driven by Soluto-Capillary Marangoni Flows
• Learning Anisotropic Interaction Rules from Individual Trajectories in a Heterogeneous Cellular Population
• Boids in a Loop: Self-Propelled particles within a Flexible Boundary
• Swarming in viscous fluids: three-dimensional patterns in swimmer- and force-induced flows
• Social aggregation in pea aphids: Experimental measurement and stochastic modeling
• Promoting collective motion of self-propelled agents by distance-based influence
• Collective Motion and Phase Transitions of Symmetric Camphor Boats
• Nonlocal flocking dynamics: Learning the fractional order of PDEs from particle simulations
• Optimal strategies for driving a mobile agent in a guidance by repulsion model
• Structural characterization and statistical-mechanical model of epidermal patterns
• Phase Transitions on Fixed Connected Graphs and Random Graphs in the Presence of Noise
• Self-organization in two-dimensional swarms
• Unstable oscillations and bistability in delay-coupled swarms
• Emergence of a giant rotating cluster of fish in three dimensions by local interactions
• On the attractors of two-dimensional Rayleigh oscillators including noise
• Large density expansion of a hydrodynamic theory for self-propelled particles
• Synchronization and collective motion of globally coupled Brownian particles
• Critical transition for colliding swarms
• Continuum modeling of the equilibrium and stability of animal flocks
• Gaslike model of social motility
• Active Brownian Particle and Random Walk Theories of the Motions of Zooplankton: Application to Experiments with Swarms of Daphnia
• Stability of milling patterns in self-propelled swarms on surfaces
• Heterophilious dynamics enhances consensus
• Noise-induced vortex reversal of self-propelled particles
• The Dynamics of Interacting Swarms
• Active matter clusters at interfaces
• From particle to kinetic and hydrodynamic descriptions of flocking
• Multi-Agent Distributed Coordination Control: Developments and Directions
• Single to Double Mill Small Noise Transition via Semi-Lagrangian Finite Volume Methods
• Stability Analysis of Flock and Mill rings for 2nd Order Models in Swarming
• Anticipation breeds alignment
• Cohesive motion in one-dimensional flocking
• The Emergence of Lines of Hierarchy in Collective Motion of Biological Systems
• Pattern stabilisation in swarms of programmable active matter: a probe for turbulence at large length scales
• A primer of swarm equilibria
• Some aspects of the inertial spin model for flocks and related kinetic equations
• Analysis of aligning active local searchers orbiting around their common home position
• Explicit Equilibrium Solutions For the Aggregation Equation with Power-Law Potentials
• Detection of coarse-grained unstable states of microscopic/stochastic systems: a timestepper-based iterative protocol
• Mean-Field Limit for a Collision-Avoiding Flocking System and the Time-Asymptotic Flocking Dynamics for the Kinetic Equation
• The Fast Wandering of Slow Birds
• On weak solutions to the 2D Savage-Hutter model of the motion of a gravity driven avalanche flow
• Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations
• Metastable transitions in inertial Langevin systems: what can be different from the overdamped case?
• A non-linear kinetic model of self-propelled particles with multiple equilibria
• Target-density formation in swarms with stochastic sensing and dynamics
• Reduced fluid models for self-propelled particles interacting through alignment
• Collective Dynamics of Interacting Particles in Unsteady Flows
• Asymptotic Fixed-Speed Reduced Dynamics for Kinetic Equations in Swarming
• A Reconstruction algorithm for an unknown network
• Cucker-Smale Flocking under Hierarchical Leadership
• A nonlocal continuum model for biological aggregation