dorsal/arxiv
View SchemaConvection in rotating annuli: Ginzburg-Landau equations with tunable coefficients
| Authors | Martin van Hecke, Wim van Saarloos |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9609002 |
| URL | https://arxiv.org/abs/patt-sol/9609002 |
| DOI | 10.1103/PhysRevE.55.R1259 |
Abstract
The coefficients of the complex Ginzburg-Landau equations that describe weakly nonlinear convection in a large rotating annulus are calculated for a range of Prandtl numbers $\sigma$. For fluids with $\sigma \approx 0.15$, we show that the rotation rate can tune the coefficients of the corresponding amplitude equations from regimes where coherent patterns prevail to regimes of spatio-temporal chaos.
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"abstract": "The coefficients of the complex Ginzburg-Landau equations that describe\nweakly nonlinear convection in a large rotating annulus are calculated for a\nrange of Prandtl numbers $\\sigma$. For fluids with $\\sigma \\approx 0.15$, we\nshow that the rotation rate can tune the coefficients of the corresponding\namplitude equations from regimes where coherent patterns prevail to regimes of\nspatio-temporal chaos.",
"arxiv_id": "patt-sol/9609002",
"authors": [
"Martin van Hecke",
"Wim van Saarloos"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevE.55.R1259",
"title": "Convection in rotating annuli: Ginzburg-Landau equations with tunable coefficients",
"url": "https://arxiv.org/abs/patt-sol/9609002"
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