Thermally Activated Motion of the Contact Line of a Liquid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi>He</mml:mi></mml:math>Meniscus on a Cesium Substrate

Prevost, Alexis; Rolley, E.; Guthmann, C.

doi:10.1103/physrevlett.83.348

Cited by 78 publications

(88 citation statements)

References 20 publications

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“…There it was checked that the system is over-damped and near depinning. In both cases there is also evidence of thermal activation effects 13 characteristic of depinning (not creep). It was argued that these may be a signature that a more complicated dynamics (e.g.…”

Section: Numerical Simulations and Experimentsmentioning

confidence: 92%

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Two-loop functional renormalization group theory of the depinning transition

2002

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We construct the field theory which describes the universal properties of the quasi-static isotropic depinning transition for interfaces and elastic periodic systems at zero temperature, taking properly into account the nonanalytic form of the dynamical action. This cures the inability of the 1-loop flow-equations to distinguish between statics and quasi-static depinning, and thus to account for the irreversibility of the latter. We prove two-loop renormalizability, obtain the 2-loop β-function and show the generation of "irreversible" anomalous terms, originating from the non-analytic nature of the theory, which cause the statics and driven dynamics to differ at 2-loop order. We obtain the roughness exponent ζ and dynamical exponent z to order ǫ 2 . This allows to test several previous conjectures made on the basis of the 1-loop result. First it demonstrates that randomfield disorder does indeed attract all disorder of shorter range. It also shows that the conjecture ζ = ǫ/3 is incorrect, and allows to compute the violations, as ζ = ǫ 3(1 + 0.14331ǫ), ǫ = 4 − d. This solves a longstanding discrepancy with simulations. For long-range elasticity it yields ζ = ǫ 3(1 + 0.39735ǫ), ǫ = 2 − d (vs. the standard prediction ζ = 1/3 for d = 1), in reasonable agreement with the most recent simulations. The high value of ζ ≈ 0.5 found in experiments both on the contact line depinning of liquid Helium and on slow crack fronts is discussed.

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Section: Numerical Simulations and Experimentsmentioning

confidence: 92%

“…The contact line of a liquid helium meniscus on a rough substrate can be thought of as an interface, but is governed by long range elasticity and so are slowly propagating cracks 2,[12][13][14][15] . Solid friction is another example of a depinning phenomenon.…”

Section: Introduction a Overviewmentioning

confidence: 99%

Two-loop functional renormalization group theory of the depinning transition

2002

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“…Physically, the particle slows down because the interfacial force imposed on the particle decreases as it moves up, so that the contact line requires a larger thermal "kick" to hop over surface heterogeneities. Similar models have been used to resolve the contact line motion in other systems 26,27 at low capillary number and for small changes in θ.…”

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confidence: 99%

Physical ageing of the contact line on colloidal particles at liquid interfaces

et al. 2011

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“…This macroscopic dissipation was defined by a friction factor local at the contact line, which has the same units as viscosity. Others [8][9][10][11][12] have also discussed the importance of local non-hydrodynamic effects at the contact line, with different interpretations of its microscopic origin. Recently [13] a friction factor was estimated from the molecular kinetic theory by fitting the experimental spreading radius for drops with different viscosity.…”

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confidence: 99%

Universality in dynamic wetting dominated by contact-line friction

2012

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We report experiments on the rapid contact line motion present in the early stages of capillary driven spreading of drops on dry solid substrates. The spreading data fails to follow a conventional viscous or inertial scaling. By integrating experiments and simulations, we quantify a contact line friction (µ f ), which is seen to limit the speed of the rapid dynamic wetting. A scaling based on this contact line friction is shown to yield a universal curve for the evolution of the contact line radius as a function of time, for a range of fluid viscosities, drop sizes and surface wettabilities.

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Thermally Activated Motion of the Contact Line of a Liquid4HeMeniscus on a Cesium Substrate

Cited by 78 publications

References 20 publications

Two-loop functional renormalization group theory of the depinning transition

Two-loop functional renormalization group theory of the depinning transition

Physical ageing of the contact line on colloidal particles at liquid interfaces

Universality in dynamic wetting dominated by contact-line friction

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