  Swarmalators are oscillators that can swarm as well as sync via a dynamic
balance between their spatial proximity and phase similarity. We present a
generalized D-dimensional swarmalator model, which is more realistic and
versatile, that captures the self-organizing behaviors of a plethora of
real-world collectives. This allows for modeling complicated processes such as
flocking, schooling of fish, cell sorting during embryonic development,
residential segregation, and opinion dynamics in social groups. We demonstrate
its versatility by capturing the manoeuvers of the school of fish and traveling
waves of gene expression, both qualitatively and quantitatively, embryonic cell
sorting, microrobot collectives, and various life stages of slime mold by a
suitable extension of the original model to incorporate appropriate features
besides a gallery of its intrinsic self-organizations for various interactions.
We expect this high-dimensional model to be potentially useful in describing
swarming systems in a wide range of disciplines including physics of active
matter, developmental biology, sociology, and engineering.
