dorsal/arxiv
View SchemaSecondary Instabilities of Surface Waves on Viscous Fluids in the Faraday Instability
| Authors | Laurent Daudet, Valerie Ego, Sebastien Manneville, John Bechhoefer |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9510006 |
| URL | https://arxiv.org/abs/patt-sol/9510006 |
| DOI | 10.1209/0295-5075/32/4/005 |
Abstract
Secondary instabilities of Faraday waves show three regimes: (1) As seen previously, low-viscosity (nu) fluids destabilize first into squares. At higher driving accelerations a, squares show low-frequency modulations corresponding to the motion of phase defects, while theory predicts a stationary transverse amplitude modulation (TAM). (2) High-nu fluids destabilize first to stripes. Stripes then show an oscillatory TAM whose frequency is incommensurate with the driving frequency. At higher a, the TAM undergoes a phase instability. At still higher a, edge dislocations form and fluid droplets are ejected. (3) Intermediate-nu fluids show a complex coexistence of squares and stripes, as well as stationary and oscillatory TAM instabilities of the stripes.
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"abstract": "Secondary instabilities of Faraday waves show three regimes: (1) As seen\npreviously, low-viscosity (nu) fluids destabilize first into squares. At higher\ndriving accelerations a, squares show low-frequency modulations corresponding\nto the motion of phase defects, while theory predicts a stationary transverse\namplitude modulation (TAM). (2) High-nu fluids destabilize first to stripes.\nStripes then show an oscillatory TAM whose frequency is incommensurate with the\ndriving frequency. At higher a, the TAM undergoes a phase instability. At still\nhigher a, edge dislocations form and fluid droplets are ejected. (3)\nIntermediate-nu fluids show a complex coexistence of squares and stripes, as\nwell as stationary and oscillatory TAM instabilities of the stripes.",
"arxiv_id": "patt-sol/9510006",
"authors": [
"Laurent Daudet",
"Valerie Ego",
"Sebastien Manneville",
"John Bechhoefer"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1209/0295-5075/32/4/005",
"title": "Secondary Instabilities of Surface Waves on Viscous Fluids in the Faraday Instability",
"url": "https://arxiv.org/abs/patt-sol/9510006"
},
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