Interaction of multiple spiral rotors in a reaction-diffusion system.

Area of Science:

• Chemical kinetics
• Nonlinear dynamics
• Excitable media

Background:

• Spiral waves are phase singularities in reaction-diffusion systems.
• These patterns resemble spatiotemporal dynamics in various excitable media.
• Understanding rotor interactions is key to comprehending complex wave phenomena.

Purpose of the Study:

• To investigate the interactions between multiple spiral rotors in a reaction-diffusion system.
• To determine the factors influencing spiral rotor behavior, such as chirality, phase, and distance.
• To establish a relationship between critical interaction distances and spiral wave properties.

Main Methods:

• Experimental study using the Belousov-Zhabotinsky reaction.
• Numerical simulations based on a reaction-diffusion model.
• Analysis of rotor proximity, relative chirality, and phase to predict interactions.

Main Results:

• Spiral rotors exhibit repulsion, attraction, or stationary behavior based on relative properties and distance.
• Close rotors (< critical distance) attract and annihilate; distant rotors repel.
• A critical distance for interaction cessation was established and related to spiral wave properties.
• Spontaneous symmetry-breaking instability was observed for systems with up to eight rotors.

Conclusions:

• The study validates numerical findings with Belousov-Zhabotinsky reaction experiments.
• Understanding multi-rotor dynamics provides insights into excitation waves in biological systems like cardiac tissue.
• The findings contribute to the fundamental knowledge of complex spatiotemporal patterns in chemical and biological systems.