A finite-range version of the 1D swarmalator model produces multi-dot synchronized clusters, higher-winding waves, and an active state, with many boundaries derived analytically and checked numerically.
The forced one-dimensional swarmalator model
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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.
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Effects of coupling range on the dynamics of swarmalators
A finite-range version of the 1D swarmalator model produces multi-dot synchronized clusters, higher-winding waves, and an active state, with many boundaries derived analytically and checked numerically.