1991
DOI: 10.1126/science.253.5026.1374
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Motions and Relaxations of Confined Liquids

Abstract: When a liquid is confined in a narrow gap (as near a cell membrane, in a lubricated contact between solids, or in a porous medium), new dynamic behavior emerges. The effective shear viscosity is enhanced compared to the bulk, relaxation times are prolonged, and nonlinear responses set in at lower shear rates. These effects are more prominent, the thinner the liquid film. They appear to be the manifestation of collective motions. The flow of liquids under extreme confinement cannot be understood simply by intui… Show more

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Cited by 951 publications
(752 citation statements)
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“…14 We assume here that the last condition is satisfied. However, if this frequency exceeds the inverse Rouse relaxation time of the bridge, T 0 -1 ) τ 0 -1 (a/h) 4 , the bridges do not have time to come to equilibrium and thus are equivalent to other (nonbridging) chain fragments. We restrict the consideration in this section to the region, where the effect of bridges is crucial, ω < τ 0 -1 (a/h) 4 .…”
Section: Effect Of Bridgesmentioning
confidence: 99%
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“…14 We assume here that the last condition is satisfied. However, if this frequency exceeds the inverse Rouse relaxation time of the bridge, T 0 -1 ) τ 0 -1 (a/h) 4 , the bridges do not have time to come to equilibrium and thus are equivalent to other (nonbridging) chain fragments. We restrict the consideration in this section to the region, where the effect of bridges is crucial, ω < τ 0 -1 (a/h) 4 .…”
Section: Effect Of Bridgesmentioning
confidence: 99%
“…The relaxation time of the loop is the Rouse time T 0 ) τ 0 (h/a) 4 , so the storage modulus is Taking into account that in regime 2.c G′ > G 1 ′, we can write the final equations for the moduli as B. Nonlinear Regimes. 1.…”
Section: Effect Of Bridgesmentioning
confidence: 99%
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“…These include solvent surface fluctuations 2 , airliquid\substrate-liquid interface structure 4,5 as well as the intrinsic differences in the relaxation and transport properties in an ultra thin liquid film compared to its bulk [6][7][8][9] .…”
mentioning
confidence: 99%
“…1 In liquid films close to a flat solid surface, molecular layering is observed, [2][3][4] which is enhanced by confinement between two solid surfaces. New tools to study confined liquids include surface force apparatus (SFA), 2,5,6 atomic force microscopy (AFM), 7,8 and spectroscopic techniques 9 such as fluorescence correlation spectroscopy (FCS). 10 Various experiments have yielded mutually exclusive findings on the dynamics of these confined systems.…”
Section: Introductionmentioning
confidence: 99%