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Exotic swarming dynamics of high-dimensional swarmalators
Akash Yadav1, Krishnanand J1, V K Chandrasekar2
1School of Physics, Indian Institute of Science Education and Research Thiruvananthapuram, Kerala 695551, India.
Physical Review. E
|May 17, 2024
Summary
This study introduces a generalized D-dimensional swarmalator model, enhancing the understanding of collective behaviors. The new model accurately captures complex self-organization in various systems, from fish schools to social dynamics.
Area of Science:
- Complex Systems
- Statistical Physics
- Mathematical Biology
Background:
- Swarmalator models traditionally use 1D phase variables.
- Real-world collectives often exhibit multidimensional dynamics.
Purpose of the Study:
- To present a generalized D-dimensional swarmalator model.
- To capture self-organization in high-dimensional systems more realistically.
Main Methods:
- Developed a generalized D-dimensional swarmalator model.
- Simulated collective behaviors using 3D spatial and phase variables for visualization.
- Extended the model to capture specific phenomena like fish schooling maneuvers.
Main Results:
- The D-dimensional model accurately captures complex self-organizing behaviors.
- Demonstrated versatility in modeling phenomena such as flocking, cell sorting, and opinion dynamics.
- Qualitatively and quantitatively reproduced fish schooling maneuvers.
Conclusions:
- The high-dimensional swarmalator model offers a more realistic framework for studying collective behaviors.
- Applicable to diverse fields including physics, biology, sociology, and engineering.
- Provides a foundation for modeling programmable and reconfigurable swarming systems.
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