English

Swarmalators with delayed interactions

Adaptation and Self-Organizing Systems 2022-10-21 v1 Statistical Mechanics Biological Physics Cell Behavior

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.

Cite

@article{arxiv.2210.11417,
  title  = {Swarmalators with delayed interactions},
  author = {Nicholas Blum and Andre Li and Kevin O'Keeffe and Oleg Kogan},
  journal= {arXiv preprint arXiv:2210.11417},
  year   = {2022}
}
R2 v1 2026-06-28T04:06:35.068Z