Self-propelled chimeras

Abstract

The synchronization of self-propelled particles (SPPs) is a fascinating instance of emergent behavior in living and man-made systems, such as colonies of bacteria, flocks of birds, robot ensembles, and many others. The recent discovery of chimera states in coupled oscillators opens up new perspectives and indicates that other emergent behaviors may exist for SPPs. Indeed, for a minimal extension of the classical Vicsek model we show the existence of chimera states for SPPs, i.e., one group of particles synchronizes while others wander around chaotically. Compared to chimeras in coupled oscillators where the site position is fixed, SPPs give rise to new distinctive forms of chimeric behavior. We emphasize that the found behavior is directly implied by the structure of the deterministic equation of motion and is not caused by exogenous stochastic excitation. In the scaling limit of infinitely many particles, we show that the chimeric state persists. Our findings provide the starting point for the search or elicitation of chimeric states in real world SPP systems.

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Cited by in corpus (14)

• Activity induced synchronization: From Mutual Flocking to Chiral Self-Sorting
• Traveling Bands, Clouds, and Vortices of Chiral Active Matter
• Synchronized oscillations in swarms of nematode Turbatrix aceti
• Emergent vortices and phase separation in systems of chiral active particles with dipolar interactions
• Confinement and collective escape of active particles
• Chimera States and Seizures in a Mouse Neuronal Model
• Solitary states in the mean-field limit
• Frequency chimera state induced by differing dynamical timescales
• Noise induced swarming of active particles
• A Finite Volume Method for Continuum Limit Equations of Nonlocally Interacting Active Chiral Particles
• Order, chaos, and dimensionality transition in a system of swarmalators
• Nonequilibrium thermodynamic signatures of collective dynamical states around chimera in a chemical reaction network
• Data-driven Discovery of Emergent Behaviors in Collective Dynamics
• Collective behaviors of self-propelled particles with tunable alignment angles