dorsal/arxiv
View SchemaCrossover from a square to a hexagonal pattern in Faraday surface waves
| Authors | C. Wagner, H. W. Mueller, K. Knorr |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9911001 |
| URL | https://arxiv.org/abs/patt-sol/9911001 |
| DOI | 10.1103/PhysRevE.62.R33 |
Abstract
We report on surface wave pattern formation in a Faraday experiment operated at a very shallow filling level, where modes with a subharmonic and harmonic time dependence interact. Associated with this distinct temporal behavior are different pattern selection mechanisms, favoring squares or hexagons, respectively. In a series of bifurcations running through a pair of superlattices the surface wave pattern transforms between the two incompatible symmetries. The close analogy to 2D and 3D crystallography is pointed out.
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"abstract": "We report on surface wave pattern formation in a Faraday experiment operated\nat a very shallow filling level, where modes with a subharmonic and harmonic\ntime dependence interact. Associated with this distinct temporal behavior are\ndifferent pattern selection mechanisms, favoring squares or hexagons,\nrespectively. In a series of bifurcations running through a pair of\nsuperlattices the surface wave pattern transforms between the two incompatible\nsymmetries. The close analogy to 2D and 3D crystallography is pointed out.",
"arxiv_id": "patt-sol/9911001",
"authors": [
"C. Wagner",
"H. W. Mueller",
"K. Knorr"
],
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],
"doi": "10.1103/PhysRevE.62.R33",
"title": "Crossover from a square to a hexagonal pattern in Faraday surface waves",
"url": "https://arxiv.org/abs/patt-sol/9911001"
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