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Updated: Jun 28, 2026
06:42
Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
Subcritical instabilities in a convective fluid layer under a quasi-one-dimensional heating
1Department of Physics and Applied Mathematics, Universidad de Navarra, Irunlarrea s/n, E-31080 Pamplona, Spain.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 13, 2008
Summary
Researchers studied spatiotemporal patterns in heated fluid layers, observing a transition from stationary cells to traveling waves. This transition involves a resonant triad, creating mixed patterns and demonstrating hysteresis.
Area of Science:
- Fluid dynamics
- Nonlinear dynamics
- Pattern formation
Background:
- Local heating of a fluid layer generates complex spatiotemporal patterns.
- Understanding pattern transitions is crucial for fluid dynamics and nonlinear science.
Purpose of the Study:
- To characterize the diversity of spatiotemporal patterns in a locally heated fluid layer.
- To investigate the transition from stationary cellular patterns to traveling waves.
Main Methods:
- Experimental study of fluid dynamics under controlled heating.
- Analysis using complex demodulation techniques to track mode evolution.
- Quantitative evaluation of hysteresis cycles and bifurcation points.
Main Results:
- Observed a globally subcritical transition to traveling waves via parity-breaking symmetry.
- Identified a resonant triad (ks, ks/2, 2ks/3) leading to mixed patterns.
- Documented a secondary bifurcation to an alternating pattern with doubled wavelength.
Conclusions:
- The study elucidates a cascade of bifurcations leading to defect dynamics.
- Bistability and hysteresis are key features of the observed pattern transitions.
- Stationary fronts exist within a finite parameter interval, linking different modulated patterns.
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