Spiral defect chaos in a model of Rayleigh-Bénard convection

Hao Wen Xi, J. D. Gunton, Jorge Viñals

Research output: Contribution to journalArticlepeer-review

74 Scopus citations

Abstract

A numerical solution of a generalized Swift-Hohenberg equation in two dimensions reveals the existence of a spatiotemporal chaotic state comprised of a large number of rotating spirals. This state is observed for a reduced Rayleigh number ε=0.25. The power spectrum of the state is isotropic, and the spatial correlation function decays exponentially, with an estimated decay length ξ2.5λc, where λc 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.

Original languageEnglish (US)
Pages (from-to)2030-2033
Number of pages4
JournalPhysical review letters
Volume71
Issue number13
DOIs
StatePublished - 1993
Externally publishedYes

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