Colonies of threaded rings in excitable media

Area of Science:

• Physics
• Chemistry
• Complex Systems

Background:

• Excitable media exhibit complex spiral wave phenomena.
• Thrings are a recently discovered type of spiral wave structure.
• Thrings exhibit particle-like locomotion in reaction-diffusion systems.

Purpose of the Study:

• Investigate the dynamics and interactions of multiple thrings.
• Understand the collective behavior and emergent properties of thring colonies.
• Characterize the conditions leading to stable thring structures.

Main Methods:

• Numerical simulations of reaction-diffusion equations.
• Modeling thring formation in chemical experiments.
• Analysis of thring dynamics, attraction, and wave emission.

Main Results:

• Two thrings exhibit attraction, forming a stable bound pair.
• Bound pairs inhibit individual thring locomotion.
• Pairs emit waves at a higher frequency than single thrings, preventing triplet formation.
• Colonies evolve into a frozen nonequilibrium state of pairs and isolated thrings.

Conclusions:

• Thring interactions lead to stable paired structures.
• Wave emission from pairs dictates colony-level organization.
• The system self-organizes into a unique frozen nonequilibrium state.
• Thring collective behavior offers insights into pattern formation in complex systems.