Swarmalators with delayed interactions

2022/10/20 by Blum, Nicholas, Li, Andre, O'Keeffe, Kevin +1 · 1 citation
#Adaptation and Self-Organizing Systems (nlin.AO) #Biological Physics (physics.bio-ph) #Cell Behavior (q-bio.CB) #FOS: Biological sciences #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2210.11417

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 pseudo-crystalline 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.

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• Time delay in the 1d swarmalator model

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