Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
1993-05-14
Phys. Rev. Lett. 71, 2030 (1993)
Nonlinear Sciences
Pattern Formation and Solitons
LaTeX. 4 PostScript figures. Appended
Scientific paper
10.1103/PhysRevLett.71.2030
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.
Gunton James D.
Vinals Jorge
Xi Hao-wen
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