dorsal/arxiv
View SchemaPhase instabilities in hexagonal patterns
| Authors | B. Echebarria, C. Perez-Garcia |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9805007 |
| URL | https://arxiv.org/abs/patt-sol/9805007 |
| DOI | 10.1209/epl/i1998-00315-2 |
Abstract
The general form of the amplitude equations for a hexagonal pattern including spatial terms is discussed. At the lowest order we obtain the phase equation for such patterns. The general expression of the diffusion coefficients is given and the contributions of the new spatial terms are analysed in this paper. From these coefficients the phase stability regions in a hexagonal pattern are determined. In the case of Benard-Marangoni instability our results agree qualitatively with numerical simulations performed recently.
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"abstract": "The general form of the amplitude equations for a hexagonal pattern including\nspatial terms is discussed. At the lowest order we obtain the phase equation\nfor such patterns. The general expression of the diffusion coefficients is\ngiven and the contributions of the new spatial terms are analysed in this\npaper. From these coefficients the phase stability regions in a hexagonal\npattern are determined. In the case of Benard-Marangoni instability our results\nagree qualitatively with numerical simulations performed recently.",
"arxiv_id": "patt-sol/9805007",
"authors": [
"B. Echebarria",
"C. Perez-Garcia"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1209/epl/i1998-00315-2",
"title": "Phase instabilities in hexagonal patterns",
"url": "https://arxiv.org/abs/patt-sol/9805007"
},
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