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Adsorption of liquid on a planar wall decorated by a hydrophilic stripe of width $L$ is considered. Under the condition, that the wall is only partially wet (or dry) while the stripe tends to be wet completely, a liquid drop is formed above…

Statistical Mechanics · Physics 2020-12-04 Alexandr Malijevský

Critical wetting is an elusive phenomenon for solid-fluid interfaces. Using interfacial models we show that the diverging length scales, which characterize complete wetting at an apex, precisely mimic critical wetting with the apex angle…

Statistical Mechanics · Physics 2009-11-07 A. O. Parry , M. J. Greenall , J. M. Romero-Enrique

We examine the nanoscale behavior of an equilibrium three-phase contact line in the presence of long-ranged intermolecular forces by employing a statistical mechanics of fluids approach, namely density functional theory (DFT) together with…

Fluid Dynamics · Physics 2014-08-05 Andreas Nold , David N. Sibley , Benjamin D. Goddard , Serafim Kalliadasis

We study a $d=2$ discrete solid--on--solid model of complete wetting of a rough substrate with random self--affine boundary, having roughness exponent $\zeta_s$. A suitable transfer matrix approach allows to discuss adsorption isotherms, as…

Condensed Matter · Physics 2009-10-22 G. Giugliarelli , A. L. Stella

Interfacial phenomena associated with fluid adsorption in two dimensional systems has recently been shown to exhibit hidden symmetries, or covariances, which precisely relate local adsorption properties in different confining geometries. We…

Statistical Mechanics · Physics 2009-11-10 C. Rascon , A. O. Parry

For one-component volatile fluids governed by dispersion forces an effective interface Hamiltonian, derived from a microscopic density functional theory, is used to study complete wetting of geometrically structured substrates. Also the…

Statistical Mechanics · Physics 2009-11-13 M. Tasinkevych , S. Dietrich

The phenomenon of electrowetting, i.e., the dependence of the macroscopic contact angle of a fluid on the electrostatic potential of the substrate, is analyzed in terms of the density functional theory of wetting. It is shown that…

Soft Condensed Matter · Physics 2014-05-07 Markus Bier , Ingrid Ibagon

The effect of thermal fluctuations near a contact line of a liquid interface partially wetting an impenetrable substrate is studied analytically and numerically. Promoting both the interface profile and the contact line position to random…

Soft Condensed Matter · Physics 2016-11-15 D. Belardinelli , M. Sbragaglia , M. Gross , B. Andreotti

We study the equilibrium of a liquid film on an attractive spherical substrate for an intermolecular interaction model exhibiting both fluid-fluid and fluid-wall long-range forces. We first reexamine the wetting properties of the model in…

Statistical Mechanics · Physics 2013-10-04 Andreas Nold , Alexandr Malijevský , Serafim Kalliadasis

We argue that for complete wetting at a curved substrate (wall) the wall-fluid surface tension is non-analytic in $R_i^{-1}$, the curvature of the wall and that the density profile of the fluid near the wall acquires a contribution…

Soft Condensed Matter · Physics 2009-11-10 R. Evans , R. Roth , P. Bryk

We study complete wetting of solid walls that are patterned by parallel nanogrooves of depth $D$ and width $L$ with a periodicity of $2L$. The wall is formed of a material which interacts with the fluid via a long-range potential and…

Statistical Mechanics · Physics 2019-05-01 Alexandr Malijevský

We analyze theoretically complete wetting of a substrate supporting an array of parallel, vertical plates which can tilt elastically. The adsorbed liquid tilts the plates, inducing clustering, and thus modifies the substrate geometry. In…

Soft Condensed Matter · Physics 2012-02-08 N. R. Bernardino , S. Dietrich

A partially-wetting liquid can deform the underlying elastic substrate upon which it rests. This situation requires the development of theoretical models to describe the wetting forces imparted by the drop onto the solid substrate,…

Soft Condensed Matter · Physics 2014-05-02 Joshua B. Bostwick , Michael Shearer , Karen E. Daniels

We show that continuous filling or wedge-wetting transitions are possible in 3D wedge-geometries made from (angled) substrates exhibiting first-order wetting transitions and develop a comprehensive fluctuation theory yielding a complete…

Condensed Matter · Physics 2009-10-31 A. O. Parry , C. Rascon , A. J. Wood

The wetting and filling properties of a fluid adsorbed on a solid grooved substrate are studied by means of a microscopic density functional theory. The grooved substrates are modelled using a solid slab, interacting with the fluid…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Alexandr Malijevsky

We present a theoretical study of wetting phenomena and interactions between liquid-vapor interfaces based on the density functional theory. The focus is mostly on the impact of long-range van der Waals interactions both within the fluid…

Chemical Physics · Physics 2011-11-10 Arik Yochelis , Len M. Pismen

Within mean-field theory we study wetting of elastic substrates. Our analysis is based on a grand canonical free energy functional of the fluid number density and of the substrate displacement field. The substrate is described in terms of…

Soft Condensed Matter · Physics 2019-11-06 M. Napiórkowski , L. Schimmele , S. Dietrich

We propose a sharp-interface model for solid-state dewetting of thin films with wetting potential, where the wetting effect is incorporated through a thickness-dependent surface energy. The model is governed by surface diffusion together…

Numerical Analysis · Mathematics 2026-04-29 Weijie Huang , Xinran Ruan

Complete wetting of geometrically structured substrates by one-component fluids with long-ranged interactions is studied. We consider periodic arrays of rectangular or parabolic grooves and lattices of cylindrical or parabolic pits. We show…

Statistical Mechanics · Physics 2009-11-11 M. Tasinkevych , S. Dietrich

A mathematically challenging model of dynamic wetting as a process of interface formation has been, for the first time, fully incorporated into a numerical code based on the finite element method and applied, as a test case, to the problem…

Fluid Dynamics · Physics 2015-06-04 James Sprittles , Yulii Shikhmurzaev
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