dorsal/arxiv
View SchemaInstabilities of Hexagonal Patterns with Broken Chiral Symmetry
| Authors | Blas Echebarria, Hermann Riecke |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9906008 |
| URL | https://arxiv.org/abs/patt-sol/9906008 |
| DOI | 10.1016/S0167-2789(99)00212-2 |
Abstract
Three coupled Ginzburg-Landau equations for hexagonal patterns with broken chiral symmetry are investigated. They are relevant for the dynamics close to onset of rotating non-Boussinesq or surface-tension-driven convection. Steady and oscillatory, long- and short-wave instabilities of the hexagons are found. For the long-wave behavior coupled phase equations are derived. Numerical simulations of the Ginzburg-Landau equations indicate bistability between spatio-temporally chaotic patterns and stable steady hexagons. The chaotic state can, however, not be described properly with the Ginzburg-Landau equations.
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"abstract": "Three coupled Ginzburg-Landau equations for hexagonal patterns with broken\nchiral symmetry are investigated. They are relevant for the dynamics close to\nonset of rotating non-Boussinesq or surface-tension-driven convection. Steady\nand oscillatory, long- and short-wave instabilities of the hexagons are found.\nFor the long-wave behavior coupled phase equations are derived. Numerical\nsimulations of the Ginzburg-Landau equations indicate bistability between\nspatio-temporally chaotic patterns and stable steady hexagons. The chaotic\nstate can, however, not be described properly with the Ginzburg-Landau\nequations.",
"arxiv_id": "patt-sol/9906008",
"authors": [
"Blas Echebarria",
"Hermann Riecke"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1016/S0167-2789(99)00212-2",
"title": "Instabilities of Hexagonal Patterns with Broken Chiral Symmetry",
"url": "https://arxiv.org/abs/patt-sol/9906008"
},
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