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The Young-Dupr\'e equation is a cornerstone of the equilibrium theory of capillary and wetting phenomena. In the biological world, interfacial phenomena are ubiquitous, from the spreading of bacterial colonies to tissue growth and flocking…

Soft Condensed Matter · Physics 2026-04-16 Yongfeng Zhao , Ruben Zakine , Adrian Daerr , Yariv Kafri , Julien Tailleur , Frédéric van Wijland

An example of capillary phenomena commonly seen and often studied is a droplet of water hanging in air from a horizontal surface. A thin capillary surface interface between the liquid and gas develops tangential surface tension, which…

Fluid Dynamics · Physics 2019-04-09 Dale G. Karr

This study proposes a new fundamental formula that describes in a more coherent way, the rise and fall of liquids in capillaries. The variation of the contact angle classically associated with these phenomena appears to be the indirect…

Soft Condensed Matter · Physics 2024-12-11 Noureddine Djama

A paperclip can float on water. Drops of mercury refuse to spread on a surface. These capillary phenomena are macroscopic manifestations of molecular interactions, and can be explained in terms of surface tension. For students, the concept…

Fluid Dynamics · Physics 2012-11-19 Antonin Marchand , Joost H. Weijs , Jacco H. Snoeijer , Bruno Andreotti

Capillary waves occurring at the liquid-vapor interface of water are studied using molecular dynamics simulations. In addition, the surface tension, determined thermodynamically from the difference in the normal and tangential pressure at…

Materials Science · Physics 2009-11-11 Ahmed E. Ismail , Gary S. Grest , Mark J. Stevens

A numerical study of multi-phase granular materials based upon micro-mechanical modelling is proposed. Discrete element simulations are used to investigate capillary induced effects on the friction properties of a granular assembly in the…

Materials Science · Physics 2012-03-07 L. Scholtès , B. Chareyre F. Nicot , F. Darve

We account for the presence of surface charges towards describing variations in the dynamic contact angle of an advancing liquid-gas meniscus. Starting from the thin-film based formalism, we present closed-form analytical expressions…

Fluid Dynamics · Physics 2015-09-11 Palash V. Acharya , Kaustav Chaudhury , Suman Chakraborty

We study the effective forces acting between colloidal particles trapped at a fluid interface which itself is exposed to a pressure field. To this end we apply what we call the ``force approach'', which relies solely on the condition of…

Soft Condensed Matter · Physics 2008-03-31 Alvaro Dominguez , Martin Oettel , Siegfried Dietrich

We analyze the surface tension exerted at the interface between an active fluid and a solid boundary in terms of tangential forces. Focusing on active systems known to possess an equation of state for the pressure, we show that interfacial…

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

In this work, we extend the model of contact angles that we have previously developed for sessile drops on a wetted surface to the case of a meniscus in a capillary. The underlying physics of our model describe the intermolecular forces…

Fluid Dynamics · Physics 2023-12-20 Leonid Pekker , David Pekker , James Myrick

Recently contact angle hysteresis in two-dimensional droplets lying on a solid surface has been studied extensively in terms of static friction due to pinning forces at contact points. Here we propose a method to determine the coefficient…

Fluid Dynamics · Physics 2024-11-25 Jong-In Yang , Jooyoo Hong

In part 1, we proposed a model of dynamics of wetting for slow movements near a contact line formed at the interface of two immiscible fluids and a solid when viscous dissipation remains bounded. The contact line is not a material line and…

Classical Physics · Physics 2008-01-15 Henri Gouin

The surface free energy, or surface tension, of a liquid interface gives rise to a pressure jump when the interface is curved. Here we show that a similar capillary pressure arises at the interface of soft solids. We present experimental…

Fluid Dynamics · Physics 2015-06-03 Antonin Marchand , Siddhartha Das , Jacco H. Snoeijer , Bruno Andreotti

The lubricated motion of an object near a deformable boundary presents striking subtleties arising from the coupling between the elasticity of the boundary and lubricated flow, including but not limited to the emergence of a lift force…

Soft Condensed Matter · Physics 2025-10-08 Aditya Jha , Yacine Amarouchene , Thomas Salez

Micron-sized objects confined in thin liquid films interact through forces mediated by the deformed liquid-air interface. This capillary interactions provide a powerful driving mechanism for the self-assembly of ordered structures such as…

Soft Condensed Matter · Physics 2008-04-05 R. Di Leonardo , F. Saglimbeni , G. Ruocco

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

The thermodynamics and mechanics of the surface of a deformable body are studied here, following and refining the general approach of Gibbs. It is first shown that the 'local' thermodynamic variables of the state of the surface are only the…

Statistical Mechanics · Physics 2019-06-27 Juan Olives

Two collective properties distinguishing the thin liquid water vapour interface from the bulk liquid are the anisotropy of the pressure tensor giving rise to surface tension and the orientational alignment of the molecules leading to a…

Soft Condensed Matter · Physics 2020-02-03 Chao Zhang , Michiel Sprik

We discuss the equilibrium condition for a liquid that partially wets a solid on the level of intermolecular forces. Using a mean field continuum description, we generalize the capillary pressure from variation of the free energy and show…

Fluid Dynamics · Physics 2009-11-13 Jacco H. Snoeijer , Bruno Andreotti
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