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Testing the Kibble-Zurek mechanism in Rayleigh-Bénard convection
S Casado1, W González-Viñas, H Mancini
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
|December 13, 2006
Summary
Researchers observed that defect density in emerging Rayleigh-Bénard structures follows a power law related to the control parameter
Area of Science:
- Fluid dynamics
- Non-equilibrium physics
- Pattern formation
Background:
- Rayleigh-Bénard convection is a classic system for studying pattern formation.
- Defect formation is a common phenomenon in systems transitioning to ordered states.
- The Kibble-Zurek mechanism explains defect formation in various physical systems.
Purpose of the Study:
- To experimentally investigate defect formation in an emerging Rayleigh-Bénard structure.
- To determine the scaling relationship between defect density and the rate of change of the control parameter.
- To test the applicability of the Kibble-Zurek mechanism in hydrodynamical systems.
Main Methods:
- Experimental setup for Rayleigh-Bénard convection.
- Controlled variation of the control parameter's rate of change.
- Quantitative measurement of defect density within the evolving structure.
Main Results:
- Observed a power-law scaling relationship between defect density and the rate of change of the control parameter.
- The experimentally determined scaling exponents align with predictions from the Kibble-Zurek mechanism.
- This study provides the first experimental evidence of the Kibble-Zurek mechanism operating in a hydrodynamical context.
Conclusions:
- The Kibble-Zurek mechanism accurately describes defect formation in emerging Rayleigh-Bénard structures.
- This finding validates the universality of the Kibble-Zurek mechanism across different physical domains.
- The study opens new avenues for understanding non-equilibrium phenomena in fluid dynamics.
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