Complete Wetting on a Linear Wedge

Bruschi, L.; Carlin, Andrew M.; Mistura, Giampaolo

doi:10.1103/physrevlett.89.166101

Cited by 73 publications

(69 citation statements)

References 16 publications

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“…Here we point out that full application of the geometrical model for a finite-size (FS) paraboloid yields results which compare favourably with their experimental findings. This is to a certain extent surprising, due to the small scale of the structures, and supports previous evidence of the strong influence of surface geometry on fluid adsorption [3]. The inset in Fig.…”

supporting

confidence: 68%

Comment on “Liquids on Topologically Nanopatterned Surfaces”

Rascón

2007

Phys. Rev. Lett.

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supporting

confidence: 68%

Comment on “Liquids on Topologically Nanopatterned Surfaces”

Rascón

2007

Phys. Rev. Lett.

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“…A study of interfacial phenomena in power-law wedges permits one to trace the route from wetting to capillary condensation 2 and suggests the possibility of adapting the adsorptive abilities of solid substrates by shaping its surface inhomogeneities at the nanoscopic level. Recent measurements of the growth of Ar films on an array of microscopic linear wedges 9 confirm this conjecture and demonstrate a clear crossover between a planarlike and a geometrydependent behavior. On the theoretical side, it has been remarked 7 that the full one-body density ͑r͒ for the confined particles should be obtained either from simulations or from density functional ͑DF͒ theory.…”

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confidence: 50%

Condensation of helium in nanoscopic alkali wedges at zero temperature

et al. 2006

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We present a complete calculation of the structure of liquid 4 He confined to a concave nanoscopic wedge, as a function of the opening angle of the walls. This is achieved within a finite-range density functional formalism. The results here presented, restricted to alkali metal substrates, illustrate the change in meniscus shape from rather broad to narrow wedges on weak and strong alkali adsorbers, and we relate this change to the wetting behavior of helium on the corresponding planar substrate. As the wedge angle is varied, we find a sequence of stable states that, in the case of cesium, undergo one filling and one emptying transition at large and small openings, respectively. A computationally unambiguous criterion to determine the contact angle of 4 He on cesium is also proposed.

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“…Much experimental [2] and theoretical effort [3] is concerned with wetting and associated interfacial transitions in wedge geometry and recently attention has turned to wetting at an apex [4]. It is becoming increasingly clear that substrate geometry can have a profound influence on the nature of fluid adsorption and, in particular, on wetting characteristics making these quite different from those at a planar substrate.…”

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confidence: 99%

Wetting at curved substrates: Non-analytic behavior of interfacial properties

2003

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PACS. 05.70.Np -Interface and surface thermodynamics. PACS. 68.08.Bc -Wetting.Abstract. -We argue that for complete wetting at a curved substrate (wall) the wall-fluid surface tension is non-analytic in R −1 i , the curvature of the wall and that the density profile of the fluid near the wall acquires a contribution proportional to the gas-liquid surface tension ×R −1 i plus higher-order contributions which are non-analytic in R −1 i . These predictions are confirmed by results of density functional calculations for the square-well model of a liquid adsorbed on a hard sphere and on a hard cylinder where complete wetting by gas (drying) occurs. The implications of our results for the solvation of big solvophobic particles are discussed.Understanding the adsorption of fluids at solid substrates has taken on new importance with recent advances in the controlled fabrication of tailored surfaces for applications in microfluidics and other areas [1]. Much experimental [2] and theoretical effort [3] is concerned with wetting and associated interfacial transitions in wedge geometry and recently attention has turned to wetting at an apex [4]. It is becoming increasingly clear that substrate geometry can have a profound influence on the nature of fluid adsorption and, in particular, on wetting characteristics making these quite different from those at a planar substrate. Here we consider complete wetting at two substrates that have simple geometries, namely a single sphere of radius R s and an infinitely long cylinder of radius R c . Using an effective interfacial Hamiltonian approach [5] combined with exact microscopic sum-rules for the density profile of the fluid near a hard wall, we show that in the limit R i → ∞, with i = s, c, the surface tension of the substrate (wall)-fluid interface is non-analytic in the curvature R −1 i and that the density of the fluid in contact with the hard wall acquires a contribution proportional to γ gl (∞)/R i , where γ gl (∞) is the surface tension of the planar interface between coexisting gas and liquid, as well as higher-order non-analytic terms in R −1 i . Our results, which are confirmed fully by the results of microscopic density functional (DFT) [6] calculations, show that non-zero curvature leads to unexpected and subtle effects on interfacial properties when complete wetting occurs, even for the simplest of substrate geometries.In previous theoretical studies of wetting on spheres and cylinders [7,8,9,10] the thrust was on understanding how a finite radius limits the thickness of a wetting film and modifies the c EDP Sciences

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Complete Wetting on a Linear Wedge

Cited by 73 publications

References 16 publications

Comment on “Liquids on Topologically Nanopatterned Surfaces”

Comment on “Liquids on Topologically Nanopatterned Surfaces”

Condensation of helium in nanoscopic alkali wedges at zero temperature

Wetting at curved substrates: Non-analytic behavior of interfacial properties

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