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We investigate the local structure factor $S(z;q)$ at a free liquid-gas interface in systems with short-ranged intermolecular forces and determine the corrections to the leading-order, capillary-wave-like, Goldstone mode divergence of…

Statistical Mechanics · Physics 2016-05-25 A. O. Parry , C. Rascón , R. Evans

Due to the simultaneous presence of bulk-like and interfacial fluctuations the understanding of the structure of liquid-vapour interfaces poses a long-lasting and ongoing challenge for experiments, theory, and simulations. We provide a new…

Statistical Mechanics · Physics 2015-02-24 F. Höfling , S. Dietrich

We study the density-density correlation function $G({\bf r},{\bf r}')$ in the interfacial region of a fluid (or Ising-like magnet) with short-ranged interactions using square gradient density functional theory. Adopting a simple double…

Statistical Mechanics · Physics 2015-06-19 A. O. Parry , C. Rascón , G. Willis , R. Evans

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

Two different theories are used to understand the liquid-vapor interfaces: the Van der Waals theory and the capillary waves theory. But comparing both come up a problem of interpretation of the interface density profiles obtained, for…

Statistical Mechanics · Physics 2013-07-24 Ramiro Checa-Garcia

The height-height correlation function for a fluctuating interface between two coexisting bulk phases is derived by means of general equilibrium properties of the corresponding density-density correlation function. A wavelength-dependent…

Soft Condensed Matter · Physics 2009-11-13 Thorsten Hiester

In this paper we try to work out in detail the implications of a microscopic theory for capillary waves under the assumption that the density is given along lines normal to the interface. Our study provides interface Hamiltonians for…

Soft Condensed Matter · Physics 2017-11-07 Luis G. MacDowell

The motion of a gas-liquid interface along a solid wall is influenced by the capillary forces resulting from the interface's shape and its interaction with the solid, where it forms a dynamic contact angle. Capillary models play a…

Experimental measurements of the surface tension of colloidal interfaces have long been in conflict with computer simulations. In this work we show that the surface tension of colloids as measured by surface fluctuations picks up a gravity…

Soft Condensed Matter · Physics 2023-09-28 Luis G. MacDowell

Evidence for capillary waves at a liquid/vapor interface are presented from extensive molecular dynamics simulations of a system containing up to 1.24 million Lennard-Jones particles. Careful measurements show that the total interfacial…

Statistical Mechanics · Physics 2009-10-31 Scott W. Sides , Gary S. Grest , Martin-D. Lacasse

In this paper we review simulation and experimental studies of thermal capillary wave fluctuations as an ideal means for probing the underlying disjoining pressure and surface tensions, and more generally, fine details of the Interfacial…

Soft Condensed Matter · Physics 2014-06-26 Luis G. MacDowell , Jorge Benet , Nebil A. Katcho , Jose G. Palanco

Thermally excited capillary waves at fluid interfaces in binary liquid mixtures exhibit simultaneously both density and composition fluctuations. Based on a density functional theory for inhomogeneous binary liquid mixtures we derive an…

Soft Condensed Matter · Physics 2009-11-11 Thorsten Hiester , S. Dietrich , Klaus Mecke

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

In a recent article, we showed how the properties of the density-density correlation function and its integral, the local structure factor, in the fluid interfacial region, in systems with short-ranged forces, can be understood…

Soft Condensed Matter · Physics 2019-11-20 Andrew O. Parry , Carlos Rascón

This second part of the study develops a geometric and asymptotic description of how surface tension governs the modulational stability of interfacial waves in a two-layer fluid. Extending the analytical framework of Part~I, surface tension…

Fluid Dynamics · Physics 2025-11-18 Olga Avramenko , Volodymyr Naradovyi

We show that to account for the full spectrum of surface fluctuations from low scattering vector qd << 1 (classical capillary wave theory) to high qd > 1 (bulk-like fluctuations), one must take account of the interface's bending rigidity at…

Soft Condensed Matter · Physics 2009-11-13 Edgar M. Blokhuis

The elastic deformation of a soft solid induced by capillary forces crucially relies on the excess stress inside the solid-liquid interface. While for a liquid-liquid interface this "surface stress" is strictly identical to the "surface…

Soft Condensed Matter · Physics 2015-06-17 Joost H. Weijs , Jacco H. Snoeijer , Bruno Andreotti

The statistical mechanics of equilibrium interfaces has been well-established for over a half century. In the last decade, a wealth of observations have made increasingly clear that a new perspective is required to describe interfaces…

Soft Condensed Matter · Physics 2025-04-21 Luke Langford , Ahmad K. Omar

The physics of air-water interfaces plays a central role in modern theories of the hydrophobic effect. Implementing these theories, however, has been hampered by the difficulty of addressing fluctuations in the shape of such soft…

Statistical Mechanics · Physics 2016-05-27 Suriyanarayanan Vaikuntanathan , Phillip L Geissler

We analyze motility-induced phase separation and bubbly phase separation in a two-dimensional lattice model of self-propelled particles. We compare systems where the dense (liquid) phase has slab and droplet geometries. We find that…

Soft Condensed Matter · Physics 2025-03-18 Liheng Yao , Robert L. Jack
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