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Mathematical modeling for the synchronization of two interacting active rotors
Hiroyuki Kitahata1, Yuki Koyano2
1Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan.
Physical Review. E
|July 19, 2023
Summary
Active rotors synchronize in phase or antiphase depending on their distance. This study analyzes rotor synchronization dynamics and stability using numerical simulations and theoretical analysis.
Area of Science:
- Physics
- Chemical Engineering
- Complex Systems
Background:
- Active rotors are self-rotating objects driven by chemical reactions.
- These rotors release chemical compounds, creating concentration fields that influence their motion.
- Interactions between multiple active rotors are mediated by these complex chemical fields.
Purpose of the Study:
- To investigate the synchronization phenomena between two active rotors.
- To determine the influence of inter-rotor distance on synchronization modes (in-phase and antiphase).
- To analyze the stability of different synchronization states.
Main Methods:
- Numerical simulations were employed to model the behavior of two active rotors.
- The concentration field dynamics were calculated in a co-rotating frame.
- Phase reduction theory was applied to analyze synchronization stability.
Main Results:
- In-phase and antiphase synchronization were observed between the active rotors.
- Synchronization modes were found to be dependent on the distance separating the rotors.
- Theoretical analysis confirmed the stability of the observed synchronization patterns.
Conclusions:
- The distance between active rotors is a critical factor governing their synchronization behavior.
- Numerical and theoretical approaches successfully predict and explain rotor synchronization.
- This research provides insights into the collective dynamics of active matter systems.
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