dorsal/arxiv
View SchemaTransition from Spatiotemporal Chaos to Ideal Straight Rolls in Rayleigh-Benard Convection
| Authors | Reha V. Cakmur, David A. Egolf, Brendan B. Plapp, Eberhard Bodenschatz |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9702003 |
| URL | https://arxiv.org/abs/patt-sol/9702003 |
Abstract
For Rayleigh-Benard convection in a square cell with a fluid of Prandtl number one, we report experimental results on the transition between a stationary pattern of ideal straight rolls (ISR) and the spatiotemporal chaotic state of spiral defect chaos (SDC). In contrast to experiments in circular geometries, we found ISR states below a particular value of the control parameter and SDC states above this value. By characterizing the pattern with a global measure, the pattern entropy, we found that the transition from SDC to ISR showed similarities to phase transitions in equilibrium finite-size systems.
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"date_modified": "2026-03-02T18:00:28.850000Z",
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"abstract": "For Rayleigh-Benard convection in a square cell with a fluid of Prandtl\nnumber one, we report experimental results on the transition between a\nstationary pattern of ideal straight rolls (ISR) and the spatiotemporal chaotic\nstate of spiral defect chaos (SDC). In contrast to experiments in circular\ngeometries, we found ISR states below a particular value of the control\nparameter and SDC states above this value. By characterizing the pattern with a\nglobal measure, the pattern entropy, we found that the transition from SDC to\nISR showed similarities to phase transitions in equilibrium finite-size\nsystems.",
"arxiv_id": "patt-sol/9702003",
"authors": [
"Reha V. Cakmur",
"David A. Egolf",
"Brendan B. Plapp",
"Eberhard Bodenschatz"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"title": "Transition from Spatiotemporal Chaos to Ideal Straight Rolls in Rayleigh-Benard Convection",
"url": "https://arxiv.org/abs/patt-sol/9702003"
},
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"variant": "snapshot-2026-03-01",
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