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Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
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Spatiotemporal chaos involving wave instability.
Igal Berenstein1, Jorge Carballido-Landeira1
1Non-Linear Physical Chemistry Unit, Service de Chimie Physique et Biologie Theorique, Université Libre de Bruxelles (ULB), CP231, Campus Plaine, 1050 Brussels, Belgium.
Chaos (Woodbury, N.Y.)
|February 3, 2017
Summary
This study reveals complex pattern formation in microemulsion reactions, showing transitions between Turing patterns and traveling waves in 1D and 2D systems, leading to chaotic dynamics.
Area of Science:
- Chemical kinetics
- Nonlinear dynamics
- Complex systems
Background:
- Microemulsions offer unique environments for chemical reactions.
- Understanding pattern formation is key to controlling reaction dynamics.
- Turing and wave instabilities can coexist in reaction-diffusion systems.
Purpose of the Study:
- To investigate pattern formation in a microemulsion reaction model.
- To analyze systems exhibiting both Turing and wave instabilities.
- To characterize spatiotemporal dynamics in 1D and 2D.
Main Methods:
- Modeling reaction-diffusion systems in microemulsions.
- Analyzing bifurcations and stability of patterns.
- Simulating spatiotemporal dynamics in 1D and 2D.
Main Results:
- Observed spatiotemporal intermittency in 1D systems, alternating between Turing patterns and traveling waves.
- Demonstrated transitions from Turing patterns to wave patterns in 2D systems.
- Characterized chaotic states with alternating standing and traveling waves and vanishing amplitudes.
Conclusions:
- Microemulsion reactions can exhibit complex pattern formation.
- The interplay of Turing and wave instabilities leads to rich spatiotemporal dynamics.
- Chaotic behavior and amplitude vanishing are possible outcomes in these systems.
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