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Related papers: Height of a liquid drop on a wetting stripe

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We study the adsorption of a fluid in the grand canonical ensemble occurring at a planar heterogeneous wall which is decorated with a chemical stripe of width $L$. We suppose that the material of the stripe strongly preferentially adsorbs…

Statistical Mechanics · Physics 2017-08-30 Alexandr Malijevský , Andrew O. Parry , Martin Pospíšil

We consider fluid adsorption near a rectangular edge of a solid substrate that interacts with the fluid atoms via long range (dispersion) forces. The curved geometry of the liquid-vapour interface dictates that the local height of the…

Statistical Mechanics · Physics 2014-06-20 Alexandr Malijevsky

Using mesoscopic interfacial models and microscopic density functional theory we study fluid adsorption at a dry wall decorated with three completely wet stripes of width $L$ separated by distances $D_1$ and $D_2$. The stripes interact with…

Statistical Mechanics · Physics 2019-05-02 Alexandr Malijevský , A. O. Parry , Martin Pospíšil

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

Within the effective interfacial Hamiltonian approach we evaluate the excess line free energy associated with cylinder-shaped droplets sessile on a stripe-like chemical inhomogeneity of a planar substrate. In the case of short-range…

Statistical Mechanics · Physics 2017-09-06 Pawel Jakubczyk Marek Napiorkowski

We consider a nano-patterned planar wall consisting of a periodic array of stripes of width $L$, which are completely wet by liquid (contact angle $\theta=0$), separated by regions of width $D$ which are completely dry (contact angle…

Statistical Mechanics · Physics 2019-10-02 Martin Pospisil , Martin Láska , Andrew O. Parry , Alexandr Malijevský

We consider a model fluid with long-ranged, dispersion interparticle potentials confined between competing parallel walls. One wall is solvophilic and would be completely wet at bulk liquid-gas coexistence while the other is solvophobic and…

Soft Condensed Matter · Physics 2015-06-05 M. C. Stewart , R. Evans

We investigate the behavior of the slip length in Newtonian liquids subject to planar shear bounded by substrates with mixed boundary conditions. The upper wall, consisting of a homogenous surface of finite or vanishing slip, moves at a…

Soft Condensed Matter · Physics 2009-11-10 Nikolai V. Priezjev , Anton A. Darhuber , Sandra M. Troian

The structural and interfacial properties of a nanoscopic liquid drops are assessed by means of mechanical, thermodynamical, and statistical mechanical approaches that are discussed in detail, including original developments at both the…

Soft Condensed Matter · Physics 2012-11-12 Alexandr Malijevsky , George Jackson

A numerical model is proposed to simulate the adhesion, compression, and subsequent detachment of a micro-liter droplet from a superhydrophobic surface composed of chemically homogeneous pillars arranged in a periodic fashion, replicating a…

Fluid Dynamics · Physics 2025-11-27 Pawan Kumar , Joseph D. Berry

When a fluid flows past a solid surface, its macroscopic motion arises from a subtle interplay between microscopic hydrodynamic and thermodynamic effects at the fluid-solid interface. Classical hydrodynamic models often rely on an…

Fluid Dynamics · Physics 2026-02-04 Haodong Zhang , Fei Wang , Britta Nestler

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

A liquid surface touching a solid usually deforms in a near-wall meniscus region. In this work, we replace part of the free surface with a soft polymer and examine the shape of this elasto-capillary meniscus, result of the interplay between…

Soft Condensed Matter · Physics 2013-05-06 Marco Rivetti , Arnaud Antkowiak

We study the probability density function $P(h_m,L)$ of the maximum relative height $h_m$ in a wide class of one-dimensional solid-on-solid models of finite size $L$. For all these lattice models, in the large $L$ limit, a central limit…

Statistical Mechanics · Physics 2009-11-11 Gregory Schehr , Satya N. Majumdar

Application of "complete scaling" [Kim et al., Phys. Rev. E 67, 061506 (2003); Anisimov and Wang, Phys. Rev. Lett. 97, 25703 (2006)] to the interfacial behavior of fluids shows that Tolman's length, a curvature correction to the surface…

Statistical Mechanics · Physics 2007-05-23 M. A. Anisimov

We investigate liquid layers adsorbed at spherical and corrugated cylindrical substrates. The effective Hamiltonians for the liquid-gas interfaces fluctuating in the presence of such curved substrates are derived via the mean-field density…

Soft Condensed Matter · Physics 2015-05-13 F. Dutka , M. Napiorkowski

We study the behavior of very thin liquid films wetting homogeneous planar and spherical substrates. In order to describe a simple fluid at very small scales, we employ a classical density functional theory (DFT). Here, we model a fluid…

Statistical Mechanics · Physics 2017-01-10 Andreas Nold

Within the Landau-Ginzburg-Wilson approach we derive the effective Hamiltonian governing fluctuations of an interface between two phases, one of them adsorbed on a disclike substrate. For large disc radii and for temperatures close to the…

Statistical Mechanics · Physics 2017-08-31 Pawel Jakubczyk , Marek Napiorkowski

Our understanding of both structure and dynamics of adsorbed liquids heavily relies on the capillary wave Hamiltonian, but a thorough test of this model is still lacking. Here we study the capillary wave fluctuations of a liquid film with…

Soft Condensed Matter · Physics 2013-09-06 Luis G. MacDowell , Jorge Benet , Nebil A. Katcho

The diffusional growth of wetting droplets on the boundary wall of a semi-infinite system is considered in different regions of a first-order wetting phase diagram. In a quasistationary approximation of the concentration field, a general…

Condensed Matter · Physics 2007-05-23 R. Burghaus
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