1996/08/13 by Igor Aranson, Igor S. Aranson, Michel Assenheimer +6
Biochemistry, Genetics and Molecular Biology · Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Geomagnetism and Paleomagnetism Studies #Pattern Formation and Solitons (nlin.PS) #Solidification and crystal growth phenomena #nlin.PS #patt-sol
paper · pdf · doi:10.48550/arxiv.patt-sol/9608003
ReVTeX, 10 pages, 6 EPS Figures, submitted to Phys. Rev. Lett
arxiv created 1996/08/13 · openalex publication_date 1996/08/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The spiral core instability, observed in large aspect ratio Rayleigh-Benard convection, is studied numerically in the framework of the Swift-Hohenberg equation coupled to a large-scale flow. It is shown that the instability leads to non-trivial core dynamics and is driven by the self-generated vorticity. Moreover, the recently reported transition from spirals to hexagons near the core is shown to occur only in the presence of a non-variational nonlinearity, and is triggered by the spiral core instability. Qualitative agreement between the simulations and the experiments is demonstrated.