dorsal/arxiv
View SchemaSpiral defect chaos in a model of Rayleigh-Benard convection
| Authors | Hao-wen Xi, J. D. Gunton, Jorge Vinals |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9305004 |
| URL | https://arxiv.org/abs/patt-sol/9305004 |
| DOI | 10.1103/PhysRevLett.71.2030 |
| Journal | Phys. Rev. Lett. 71, 2030 (1993) |
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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"abstract": "A numerical solution of a generalized Swift-Hohenberg equation in two\ndimensions reveals the existence of a spatio-temporal chaotic state comprised\nof a large number of rotating spirals. This state is observed for a reduced\nRayleigh number $\\epsilon=0.25$. The power spectrum of the state is isotropic,\nand the spatial correlation function decays exponentially, with an estimated\ndecay length $\\xi \\approx 2.5 \\lambda_{c}$, where $\\lambda_{c}$ is the critical\nwavelength near the onset of convection. Our study suggests that this spiral\ndefect state occurs for low Prandtl numbers and large aspect ratios.",
"arxiv_id": "patt-sol/9305004",
"authors": [
"Hao-wen Xi",
"J. D. Gunton",
"Jorge Vinals"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevLett.71.2030",
"journal_ref": "Phys. Rev. Lett. 71, 2030 (1993)",
"title": "Spiral defect chaos in a model of Rayleigh-Benard convection",
"url": "https://arxiv.org/abs/patt-sol/9305004"
},
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