The forced one-dimensional swarmalator model

TL;DR

This paper introduces a one-dimensional model of swarmalators under periodic forcing, revealing new emergent states including a unique chimera configuration with synchronized groups and a running train of particles.

Contribution

It presents the first analytical characterization of phase boundaries and a novel chimera state in a forced, one-dimensional swarmalator system.

Findings

Identification of multiple macrostates including a chimera state

Analytical phase boundary characterization

Discovery of a peanut-shaped loop configuration

Abstract

We study a simple model of swarmalators subject to periodic forcing and confined to move around a one-dimensional ring. This is a toy model for physical systems with a mix of sync, swarming, and forcing such as colloidal micromotors. We find several emergent macrostates and characterize the phase boundaries between them analytically. The most novel state is a swarmalator chimera, where the population splits into two sync dots, which enclose a `train' of swarmalators that run around a peanut-shaped loop.