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Noise-enhanced phase locking in a chemical oscillator system
Kenji Miyakawa1, Hironobu Isikawa
1Department of Applied Physics, Fukuoka University, Fukuoka 814-0180, Japan.
Summary
This study explores chemical oscillator responses to electric fields, revealing noise-enhanced phase locking and synchronization phenomena. These findings in the Belousov-Zabotinsky reaction system were validated through numerical simulations.
Area of Science:
- Chemical Kinetics
- Nonlinear Dynamics
- Physical Chemistry
Background:
- The Belousov-Zabotinsky reaction is a classic example of a chemical oscillator.
- Investigating external field effects on chemical oscillators is crucial for understanding complex system dynamics.
- Ru(bpy)(3)(2+) catalyst offers unique properties for studying such phenomena.
Purpose of the Study:
- To investigate the dynamical responses of a chemical oscillator to an external electric field.
- To explore phase locking and synchronization phenomena in the Belousov-Zabotinsky reaction.
- To demonstrate stochastic resonance in a chemical system.
Main Methods:
- Utilized the Belousov-Zabotinsky reaction with immobilized Ru(bpy)(3)(2+) catalyst.
- Applied periodic forcing and noise to the chemical oscillator.
- Conducted numerical simulations using a forced Oregonator reaction-diffusion model.
Main Results:
- Observed phase locking and synchronization regions similar to Arnold tongues under periodic forcing.
- Demonstrated 1:1 phase locking to a subthreshold periodic signal when noise was present.
- Identified noise-enhanced phase locking, a manifestation of stochastic resonance, with peak locking degree at optimal noise intensity.
Conclusions:
- External electric fields can induce significant dynamical responses in chemical oscillators.
- Stochastic resonance can enhance phase locking in noisy chemical systems.
- Numerical simulations successfully reproduced experimental observations, validating the model.