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Transition to spatiotemporal chaos in a two-dimensional hydrodynamic system
Christophe Pirat1, Aurore Naso, Jean-Louis Meunier
1Institut du Non Linéaire de Nice (UMR CNRS 6618), Université de Nice Sophia Antipolis, 1361 Route des Lucioles, F-06560 Valbonne, France. Christophe.Pirat@inln.cnrs.fr
Physical Review Letters
|May 21, 2005
Summary
Researchers observed a novel subcritical transition to spatiotemporal disorder in a liquid film experiment. This transition, occurring from an ordered state via spatiotemporal intermittency, shows critical behavior similar to directed percolation.
Area of Science:
- Fluid dynamics
- Nonlinear dynamics
- Complex systems
Background:
- Liquid films on porous media can exhibit ordered or disordered states.
- Gravity-induced instability drives pattern formation in thin liquid films.
- Understanding transitions to chaos is crucial in fluid mechanics.
Purpose of the Study:
- To investigate the transition to spatiotemporal chaos in a 2D hydrodynamic experiment.
- To analyze the subcritical transition from an ordered to a disordered state.
- To characterize the underlying mechanisms of spatiotemporal intermittency.
Main Methods:
- Utilizing a 2D hydrodynamic experiment with a liquid film on a porous grid.
- Controlling the system's state (ordered/disordered) via liquid flow rate.
- Analyzing statistics of column formation, fusion, and number dynamics.
Main Results:
- Observed a subcritical transition to spatiotemporal disorder from an initially structured state.
- Identified spatiotemporal intermittency as the mechanism for disorder onset.
- Demonstrated critical behavior analogous to directed percolation.
Conclusions:
- The study reveals a new pathway to spatiotemporal chaos in structured fluid systems.
- Spatiotemporal intermittency plays a key role in the transition to disorder.
- The observed critical behavior provides insights into universal properties of complex systems.