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The response of Newtonian liquids to small perturbations is usually considered to be fully described by homogeneous transport coefficients like shear and dilatational viscosity. However, the presence of strong density gradients at the…

Soft Condensed Matter · Physics 2023-03-29 Paolo Malgaretti , Ubaldo Bafile , Renzo Vallauri , Pál Jedlovszky , Marcello Sega

Superhydrophobic surfaces play an important role in the development of new product coatings such as cars, but also in mechanical engineering, especially design of turbines and compressors. Thus a vital part of the design of these surfaces…

We study a three-dimensional incompressible viscous fluid in a horizontally periodic domain with finite depth whose free boundary is the graph of a function. The fluid is subject to gravity and generalized forces arising from a surface…

Analysis of PDEs · Mathematics 2018-06-21 Antoine Remond-Tiedrez , Ian Tice

Contact of a fluid with a solid or an elastic wall is investigated. The wall exerts molecular forces on the fluid which is locally strongly nonhomogeneous. The problem is approached with a fluid energy of the second gradient form and a wall…

Fluid Dynamics · Physics 2008-02-15 Henri Gouin , Witold Kosinski

We investigate connections between the continuum and atomistic descriptions of deformable crystals, using certain interesting results from number theory. The energy of a deformed crystal is calculated in the context of a lattice model with…

Mathematical Physics · Physics 2020-07-02 Phoebus Rosakis

We report an ab initio evaluation of the surface energy of a simple metal, performed via a coupling-constant integration over the dynamical density-response function. The rapid rate of change of the electron density at the surface is…

Materials Science · Physics 2009-10-30 J. M. Pitarke , A. G. Eguiluz

In this paper, we present a novel approach to model the fluid/solid interaction forces in a direct solver of the Navier-Stokes equations based on the volume of fluid interface tracking method. The key ingredient of the model is the explicit…

Fluid Dynamics · Physics 2015-06-16 Kyle Mahady , Shahriar Afkhami , Lou Kondic

Boundary conditions for the solid-liquid interface of the solidifying pure melt have been derived. In the derivation the model of Gibbs interface is used. The boundary conditions include both the state quantities of bulk phases are taken at…

Materials Science · Physics 2016-11-02 Gennady Buchbinder , Peter Galenko

The problem of surface effects at a fluid/force field boundary is investigated. A classical simple fluid with a locally introduced field simulating a solid is considered. For the case of a hard-core field, rigid, exponential, realistic, and…

Statistical Mechanics · Physics 2011-12-08 V. M. Zaskulnikov

It is widely appreciated that surface tension can dominate the behavior of liquids at small scales. Solids also have surface stresses of a similar magnitude, but they are usually overlooked. However, recent work has shown that these can…

Soft Condensed Matter · Physics 2017-05-24 Robert W. Style , Anand Jagota , C. -Y. Hui , Eric R. Dufresne

The interactions of a hydrophilic surface with water can significantly influence the characteristics of the liquid water interface. In this manuscript, we explore this influence by studying the molecular structure of liquid water at a…

Soft Condensed Matter · Physics 2022-09-19 Sucheol Shin , Adam P. Willard

We consider the interactions between two uncharged planar macroscopic surfaces immersed in an electrolyte solution which are induced by interfacial selectivity. These forces are taken into account by introducing a depletion free-energy…

Soft Condensed Matter · Physics 2009-10-31 M. N. Tamashiro , P. Pincus

We investigate the solvation of a hard spherical cavity, of radius $R$, immersed in a fluid for which the interparticle forces are short ranged. For thermodynamic states lying close to the liquid binodal, where the chemical potential…

Soft Condensed Matter · Physics 2009-11-10 R. Evans , J. R. Henderson , R. Roth

We consider interacting dark matter-dark energy models arising out of a general interaction term $Q=f(\rho_{m},\rho_{d},\dot{\rho}_{m},\dot{\rho}_{d}).$ Here $f$ is a functional relation connecting the energy densities $\rho_{m}$ and…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Subhra Bhattacharya

Conventionally, surface tension is expressed as a force per unit length or as an energy per unit area. In this paper, we propose a thought experiment that consists of replacing the surface tension with an equivalent force per unit area…

Fluid Dynamics · Physics 2025-12-01 Andre Schiltz

A general scheme has been proposed to study the critical behaviour of integrable interaction-round-a-face models with fixed boundary conditions. It has been shown that the boundary crossing symmetry plays an important role in determining…

Condensed Matter · Physics 2015-06-25 Yu-kui Zhou , Murray T. Batchelor

Surface energy is fundamental in controlling surface properties and surface-driven processes like heterogeneous catalysis, as adsorption energy is. It is thus crucial to establish an effective scheme to determine surface energy and its…

Materials Science · Physics 2020-09-22 Bo Li , Xin Li , Wang Gao , Qing Jiang

The wetting of solid surfaces by fluids is a problem of great practical importance that has been extensively studied over the years. Most often, the experimental work has involved measurements of the contact angle made by a liquid on the…

Statistical Mechanics · Physics 2007-05-23 S. Curtarolo , M. J. Bojan , G. Stan , M. W. Cole , W. A. Steele

In this paper we propose an extension of the Cahn method to binary mixtures and study the problem of wetting near a two-phase critical point without any assumption on the form of intermolecular potentials. A comparison between Cahn's method…

Classical Physics · Physics 2008-12-18 Henri Gouin , Sergey Gavrilyuk

The variation of energies associated with soft matter interfaces where surface inhomogeneities are present. These energies include the total bending and splay energy, the variable surface tension energy, a coupling energy between the total…

Soft Condensed Matter · Physics 2016-12-02 Prerna Gera , David Salac