Swarmalators with delayed interactions
Nicholas Blum, Andre Li, Kevin O’Keeffe, Oleg Kogan
Abstract
We investigate the effects of delayed interactions in a population of "swarmalators," generalizations of phase oscillators that both synchronize in time and swarm through space. We discover two steady collective states: a state in which swarmalators are essentially motionless in a disk arranged in a pseudocrystalline order, and a boiling state in which the swarmalators again form a disk, but now the swarmalators near the boundary perform boiling-like convective motions. These states are reminiscent of the beating clusters seen in photoactivated colloids and the living crystals of starfish embryos.
Topics & Concepts
BoilingPopulationBoundary (topology)ConvectionMechanicsPhysicsSwarm behaviourPhase spaceClassical mechanicsChemical physicsMathematicsThermodynamicsMathematical analysisMathematical optimizationSociologyDemographyNonlinear Dynamics and Pattern FormationMicro and Nano RoboticsAdvanced Thermodynamics and Statistical Mechanics