dorsal/arxiv
View SchemaHydrodynamics of Monolayer Domains at the Air-Water Interface
| Authors | David K. Lubensky, Raymond E. Goldstein |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9602002 |
| URL | https://arxiv.org/abs/patt-sol/9602002 |
| DOI | 10.1063/1.868893 |
Abstract
Molecules at the air-water interface often form inhomogeneous layers in which domains of different densities are separated by sharp interfaces. Complex interfacial pattern formation may occur through the competition of short- and long-range forces acting within the monolayer. The overdamped hydrodynamics of such interfacial motion is treated here in a general manner that accounts for dissipation both within the monolayer and in the subfluid. Previous results on the linear stability of interfaces are recovered and extended, and a formulation applicable to the nonlinear regime is developed. A simplified dynamical law valid when dissipation in the monolayer itself is negligible is also proposed. Throughout the analysis, special attention is paid to the dependence of the dynamical behavior on a characteristic length scale set by the ratio of the viscosities in the monolayer and in the subphase.
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"abstract": "Molecules at the air-water interface often form inhomogeneous layers in which\ndomains of different densities are separated by sharp interfaces. Complex\ninterfacial pattern formation may occur through the competition of short- and\nlong-range forces acting within the monolayer. The overdamped hydrodynamics of\nsuch interfacial motion is treated here in a general manner that accounts for\ndissipation both within the monolayer and in the subfluid. Previous results on\nthe linear stability of interfaces are recovered and extended, and a\nformulation applicable to the nonlinear regime is developed. A simplified\ndynamical law valid when dissipation in the monolayer itself is negligible is\nalso proposed. Throughout the analysis, special attention is paid to the\ndependence of the dynamical behavior on a characteristic length scale set by\nthe ratio of the viscosities in the monolayer and in the subphase.",
"arxiv_id": "patt-sol/9602002",
"authors": [
"David K. Lubensky",
"Raymond E. Goldstein"
],
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"patt-sol",
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],
"doi": "10.1063/1.868893",
"title": "Hydrodynamics of Monolayer Domains at the Air-Water Interface",
"url": "https://arxiv.org/abs/patt-sol/9602002"
},
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