The forced one-dimensional swarmalator model

Dibakar Ghosh; Kevin O'Keeffe; Md Sayeed Anwar

The forced one-dimensional swarmalator model

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arxiv 2409.05342 v1 pith:7MO3SGLM submitted 2024-09-09 nlin.AO

Md Sayeed Anwar , Dibakar Ghosh , Kevin O'Keeffe This is my paper · ORCID

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keywords modelaroundforcingone-dimensionalswarmalatorswarmalatorssyncanalytically

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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
nlin.AO 2024-11 conditional novelty 6.0 of 10

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.

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