Spiral defect chaos in a model of Rayleigh-Benard convection

Abstract

A numerical solution of a generalized Swift-Hohenberg equation in two dimensions reveals the existence of a spatio-temporal chaotic state comprised of a large number of rotating spirals. This state is observed for a reduced Rayleigh number $\epsilon =0.25$. The power spectrum of the state is isotropic, and the spatial correlation function decays exponentially, with an estimated decay length $\xi \approx 2.5{\lambda }_c$, where ${\lambda }_c$ is the critical wavelength near the onset of convection. Our study suggests that this spiral defect state occurs for low Prandtl numbers and large aspect ratios.

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References in corpus (4)

• Spiral Defect Chaos in Large Aspect Ratio Rayleigh-Benard Convection
• Dynamic scaling and quasi-ordered states in the two dimensional Swift-Hohenberg equation
• Study of spiral pattern formation in Rayleigh-Benard convection
• Numerical study of pattern formation following a convective instability in non-Boussinesq fluids

Cited by in corpus (20)

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• The Spatio-Temporal Structure of Spiral-Defect Chaos
• Pattern Formation and Dynamics in Rayleigh-Bénard Convection: Numerical Simulations of Experimentally Realistic Geometries
• Defect Dynamics for Spiral Chaos in Rayleigh-Benard Convection
• Dynamical Crystallites of Active Chiral Particles
• Lyapunov spectral analysis of a nonequilibrium Ising-like transition
• Mean flow and spiral defect chaos in Rayleigh-Benard convection
• Direct Transition to Spatiotemporal Chaos in Low Prandtl Number Fluids
• Extensive Scaling and Nonuniformity of the Karhunen-Loève Decomposition for the Spiral-Defect Chaos State
• Mean flow in hexagonal convection: stability and nonlinear dynamics
• Core Dynamics of Multi-Armed Spirals in Rayleigh-Benard Convection
• Grain boundary dynamics in stripe phases of non potential systems
• Dynamical Properties of Multi-Armed Global Spirals in Rayleigh-Benard Convection
• Nature of Roll to Spiral-Defect-Chaos Transition
• Pattern Formation Near Onset of a Convecting Fluid In an Annulus
• Skew-Varicose Instability in Two Dimensional Generalized Swift-Hohenberg Equations
• Spiral Dynamics in Pattern-Forming Systems: Mean Flow Effects
• Exploring Spiral Defect Chaos in Generalized Swift-Hohenberg Models with Mean Flow
• Spiral defect chaos in Rayleigh-Bénard convection: Asymptotic and numerical studies of azimuthal flows induced by rotating spirals