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Front propagation and mode-locking in an advection-reaction-diffusion system
1Department of Physics, Bucknell University, Lewisburg, Pennsylvania 17837, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 31, 2005
Summary
Chemical fronts in chaotic vortex flows exhibit mode locking, where propagation synchronizes with external forcing. This study maps Arnol
Area of Science:
- Chemical kinetics
- Fluid dynamics
- Nonlinear dynamics
Background:
- Chemical front propagation is influenced by fluid dynamics.
- Chaotic mixing in vortex chains affects reaction-diffusion systems.
- The Belousov-Zhabotinsky reaction provides a model excitable system.
Purpose of the Study:
- To investigate chemical front propagation in an oscillating vortex chain.
- To measure front velocities under external forcing.
- To identify and characterize mode locking phenomena.
Main Methods:
- Utilized the ruthenium-catalyzed Belousov-Zhabotinsky reaction.
- Experimentally controlled vortex chain oscillations via external forcing (frequency and amplitude).
- Measured chemical front velocities and mapped Arnol'd tongues.
Main Results:
- Observed mode locking, where front propagation synchronized with forcing.
- Mapped Arnol'd tongues for specific locking regimes.
- Identified an overlap region exhibiting erratic velocity switching between locked states.
Conclusions:
- Experimental results align with numerical predictions for mode locking.
- Demonstrated synchronization phenomena in chemically reacting flows within chaotic environments.
- Highlighted the complex dynamics arising from the interplay of chemical reactions and forced fluid motion.
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