dorsal/arxiv
View SchemaLarge-Scale Flow and Spiral Core Instability in Rayleigh-Benard Convection
| Authors | Igor Aranson, Michel Assenheimer, Victor Steinberg, Lev S. Tsimring |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9608003 |
| URL | https://arxiv.org/abs/patt-sol/9608003 |
Abstract
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.
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"date_created": "2026-03-02T18:00:28.593000Z",
"date_modified": "2026-03-02T18:00:28.593000Z",
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"abstract": "The spiral core instability, observed in large aspect ratio Rayleigh-Benard\nconvection, is studied numerically in the framework of the Swift-Hohenberg\nequation coupled to a large-scale flow. It is shown that the instability leads\nto non-trivial core dynamics and is driven by the self-generated vorticity.\nMoreover, the recently reported transition from spirals to hexagons near the\ncore is shown to occur only in the presence of a non-variational nonlinearity,\nand is triggered by the spiral core instability. Qualitative agreement between\nthe simulations and the experiments is demonstrated.",
"arxiv_id": "patt-sol/9608003",
"authors": [
"Igor Aranson",
"Michel Assenheimer",
"Victor Steinberg",
"Lev S. Tsimring"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"title": "Large-Scale Flow and Spiral Core Instability in Rayleigh-Benard Convection",
"url": "https://arxiv.org/abs/patt-sol/9608003"
},
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"execution_id": "74c7f431-3922-4717-8dea-cb908d3c478b",
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"type": "Model",
"variant": "snapshot-2026-03-01",
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