Hydrodynamics of domain relaxation in a polymer monolayer

Mann, Elizabeth K.; Hénon, Sylvie; Langévin, D.; Meunier, Jacques; Léger, Liliane

doi:10.1103/physreve.51.5708

Cited by 61 publications

(118 citation statements)

References 43 publications

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“…The model we develop here assumes that the surface viscosity is negligible in both domains, which is often realistic and has been demonstrated explicitly 16 over the size range of interest for the polymer layers considered here. The liquid phase is considered to be incompressible, while, unlike previous models, the compressibility of the gaseous phase is considered to be null.…”

Section: -2mentioning

confidence: 99%

“…Moreover, following previous authors, we will also assume that the polymer monolayer can be modelled as a two-dimensional inviscid fluid with associated surface density ¯. Direct measurements of the relaxation time as a function of bulk viscosity 16 for this polymer ͑PDMS͒ on water demonstrated that relaxation was dominated by viscosity in the subfluid for domains in the 5-100 m range ͑sur-face viscosity should play a role in sufficiently small domains, but such domains would be below experimental resolution͒. This is likely to be true for many 2D fluid phases.…”

Section: A Basic Approximationsmentioning

confidence: 99%

“…From this rate we deduce a line tension, which is close to that determined by the characteristic relaxation time of deformed domains. 16 Determining the line tension has been difficult, and relatively few examples exist in the literature. The existence of a line tension means that small isolated domains are round in equilibrium, and also that deformed domains relax to this shape.…”

Section: -2mentioning

confidence: 99%

“…The existence of a line tension means that small isolated domains are round in equilibrium, and also that deformed domains relax to this shape. This relaxation has served for estimates of the line tension in a few systems, including phospholipid/cholesterol mixtures, 21 polymer mono and multilayers, 12,16 smectic liquid crystalline layers, 22 and fatty acids. 23,24 Other means of determining the line tension would be welcome.…”

Section: -2mentioning

confidence: 99%

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Hole dynamics in polymer Langmuir films

et al. 2006

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This article develops a model for the closing of a gaseous hole in a liquid domain within a two-dimensional fluid layer coupled to a Stokesian subfluid substrate, and compares this model to experiments following hole dynamics in a polymer Langmuir monolayer. Closure of such a hole in a fluid layer is driven by the line tension at the hole boundary and the difference in surface pressure within the hole and far outside it. The observed rate of hole closing is close to that predicted by our model using estimates of the line tension obtained by other means, assuming that the surface pressure in the gas is negligible. This result both supports the model and suggests an independent means of determining the line tension. Unlike most previous hydrodynamics models of Langmuir films, the closing of a hole necessarily involves vertical motion of the underlying incompressible fluid. Fluid is dragged along with the liquid monolayer towards the center of the hole, and must plunge away from the surface. An explicit expression is found for this vertical fluid flow in the bulk substrate.

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Section: -2mentioning

confidence: 99%

Section: A Basic Approximationsmentioning

confidence: 99%

Section: -2mentioning

confidence: 99%

Section: -2mentioning

confidence: 99%

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Hole dynamics in polymer Langmuir films

et al. 2006

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“…, where L and W are the length and the width of an elliptically deformed domain 9 . Then, by measuring L and W, the distortion Θ is calculated for each image.…”

Section: Determining the Line Tension From The Relaxation Processmentioning

confidence: 99%

Line tension and structure of smectic liquid-crystal multilayers at the air-water interface

Wang

Basnet

et al. 2007

Phys. Rev. E

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At the air/water interface, 4′-8-alkyl[1,1′-biphenyl]-4-carbonitrile (8CB) domains with different thicknesses coexist in the same Langmuir film, as multiple bilayers on a monolayer. The edge dislocation at the domain boundary leads to line tension, which determines the domain shape and dynamics. By observing the domain relaxation process starting from small distortions, we find that the line tension λ is linearly dependent on the thickness difference ΔL between the coexisting phases in theComparisons with theoretical treatments in the literature suggest that the edge dislocation at the boundary locates near the center of the film, which means that the 8CB multilayers are almost symmetric with respect to the air/water interface.

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Surface Light Scattering Spectroscopy

Mann

1997

Light Scattering and Photon Correlation Spectroscopy

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Hydrodynamics of domain relaxation in a polymer monolayer

Cited by 61 publications

References 43 publications

Hole dynamics in polymer Langmuir films

Hole dynamics in polymer Langmuir films

Line tension and structure of smectic liquid-crystal multilayers at the air-water interface

Surface Light Scattering Spectroscopy

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