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Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
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Rotational synchronization of pinned spiral waves.
Hrishikesh Kalita1, Parvej Khan1, Sumana Dutta1
1Department of Chemistry, Indian Institute of Technology Guwahati, Guwahati 781039, India.
Physical Review. E
|October 21, 2022
Summary
Two spiral waves in the Belousov-Zhabotinsky reaction synchronize through diffusion-coupled rotors. Obstacles control spiral behavior, leading to various synchronization patterns like in-phase and lag synchronization.
Area of Science:
- Chemical kinetics
- Nonlinear dynamics
- Pattern formation
Background:
- Coupled oscillators exhibit complex dynamics, including spontaneous synchronization.
- Spiral waves are a common pattern in excitable media, analogous to rotors.
- Controlling spiral wave behavior is crucial for understanding synchronization phenomena.
Purpose of the Study:
- To investigate the synchronization dynamics of two diffusion-coupled spiral waves.
- To explore the role of pinning obstacles in controlling spiral wave frequencies and drift.
- To characterize different types of phase synchronization between spiral waves.
Main Methods:
- Experimental study using the Belousov-Zhabotinsky reaction with pinned spiral waves.
- Utilizing circular heterogeneities as pinning obstacles for spiral rotors.
- Numerical simulations of an excitable reaction-diffusion model to reproduce and explain observations.
Main Results:
- Demonstrated frequency and phase synchronization of counterrotating spiral rotors.
- Observed various synchronization states: in-phase, out-of-phase, and lag synchronization, as well as phase resetting.
- Synchronization time and phase lag depend on obstacle size and inter-spiral distance.
Conclusions:
- Spiral waves can synchronize like coupled rotors when pinned by obstacles.
- Obstacle properties and separation distance significantly influence synchronization dynamics.
- The study provides experimental and numerical insights into synchronization in reaction-diffusion systems.
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