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Swarmalators on a ring with distributed couplings
Kevin O'Keeffe1, Hyunsuk Hong2,3
1Senseable City Lab, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
Physical Review. E
|July 20, 2022
Summary
We modeled swarmalators, which are entities that swarm in space, on a 1D ring. We identified collective behaviors in these swarmalator models that mimic real-world observations.
Area of Science:
- Physics
- Complex Systems
- Collective Behavior
Background:
- Swarmalators are phase oscillators that exhibit collective spatial movement.
- Realistic swarmalator dynamics often involve two-dimensional environments and complex interactions.
- Understanding simplified models is crucial for elucidating fundamental principles of collective motion.
Purpose of the Study:
- To investigate the collective behaviors of swarmalators confined to a one-dimensional ring.
- To analyze the impact of distributed couplings on swarmalator dynamics.
- To provide analytical descriptions of emergent collective states.
Main Methods:
- Development of a simplified one-dimensional ring model for swarmalators.
- Inclusion of distributed (nonidentical) coupling mechanisms.
- Analytical derivation and characterization of collective states.
Main Results:
- Identification of distinct collective states within the 1D swarmalator model.
- Analytical descriptions provided for these emergent states.
- Observed states mimic behaviors seen in natural systems like vinegar eels and catalytic microswimmers.
Conclusions:
- The 1D ring model effectively captures essential aspects of more complex swarmalator systems.
- Analytical insights into collective states can be gained from simplified models.
- This work offers a framework for studying swarm dynamics in quasi-one-dimensional settings.
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