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A novel mechanical approach is developed to explore by means of atom-scale simulation the concept of line tension at a solid-liquid-vapor contact line as well as its dependence on temperature, confinement, and solid/fluid interactions. More…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Romain Bey , Benoit Coasne , Cyril Picard

In theoretical analyses of the moving contact line, an infinite force along the solid wall has been reported based off the non-integrable stress along a single interface. In this investigation we demonstrate that the stress singularity is…

Fluid Dynamics · Physics 2018-11-20 Peter Zhang , Kamran Mohseni

The line tension of an electrolyte wetting a non-polar substrate is computed analytically and numerically. The results show that, depending on the value of the apparent contact angle, positive or negative line tension values may be…

Chemical Physics · Physics 2014-11-06 Aaron Dörr , Steffen Hardt

Using an interface displacement model we calculate the shapes of nanometer-size liquid droplets on homogeneous cylindrical surfaces. We determine effective contact angles and line tensions, the latter defined as excess free energies per…

Soft Condensed Matter · Physics 2009-10-31 C. Bauer , S. Dietrich

We analyze two representative systems containing a three-phase-contact line: a liquid lens at a fluid--fluid interface and a liquid drop in contact with a gas phase residing on a solid substrate. We discuss to which extent the decomposition…

Soft Condensed Matter · Physics 2009-11-13 L. Schimmele , M. Napiorkowski , S. Dietrich

In this study, we carried out equilibrium molecular dynamics (EMD) simulations of the liquid-liquid interface between two different Lennard-Jones components with varying miscibility, where we examined the relation between the interfacial…

Soft Condensed Matter · Physics 2025-12-29 Rei Ogawa , Hiroki Kusudo , Takeshi Omori , Edward R. Smith , Laurent Joly , Samy Merabia , Yasutaka Yamaguchi

A generalized Young's equation, which takes into account two corrections to the line tension by the curvature dependence of the liquid-vapor surface tension and by the contact angle dependence of the intrinsic line tension, is derived from…

Soft Condensed Matter · Physics 2018-05-09 Masao Iwamatsu

Excess contributions to the free energy due to interfaces occur for many problems encountered in the statistical physics of condensed matter when coexistence between different phases is possible (e.g. wetting phenomena, nucleation, crystal…

Statistical Mechanics · Physics 2015-05-27 Kurt Binder , Benjamin Block , Subir K. Das , Peter Virnau , David Winter

Results from Monte Carlo simulations of wall-attached droplets in the three-dimensional Ising lattice gas model and in a symmetric binary Lennard-Jones fluid, confined by antisymmetric walls, are analyzed, with the aim to estimate the…

Soft Condensed Matter · Physics 2018-07-04 Subir K. Das , Sergei A. Egorov , Peter Virnau , David Winter , Kurt Binder

The effects of line tension on the morphology of a lens-shaped droplet and bubble placed on the inner wall of a spherical cavity are studied. The contact angle between the lens-shaped droplet and the concave spherical substrate is expressed…

Soft Condensed Matter · Physics 2016-05-04 Masao Iwamatsu

We perform a thermodynamic analysis of various contributions to the size dependence of the contact-angle cosine for both axisymmetric and cylindrical sessile droplets. This shows that a commonly used method to determine the line tension…

Soft Condensed Matter · Physics 2025-03-31 Dmitry V. Tatyanenko , Konstantin D. Apitsin

The interfacial tension of a liquid droplet surrounded by another liquid in the presence of microscopic ions is studied as a function of the droplet radius. An analytical expression for the interfacial tension is obtained within a linear…

Soft Condensed Matter · Physics 2011-09-14 Markus Bier , Joost de Graaf , Jos Zwanikken , Rene van Roij

A mean-field density-functional model for three-phase equilibria in fluids (or other soft condensed matter) with two spatially varying densities is analyzed analytically and numerically. The interfacial tension between any two out of three…

Statistical Mechanics · Physics 2019-08-14 Kenichiro Koga , Joseph O. Indekeu

The effects of line tension on the morphology of a sessile droplet placed on top of a convex spherical substrate are studied. The morphology of the droplet is determined from the global minimum of the Helmholtz free energy. The contact…

Soft Condensed Matter · Physics 2016-05-25 Masao Iwamatsu

The size dependence of the equilibrium droplet contact angle is governed by line tension. In this work, we identify a contribution to line tension arising from gravitational effects and pressure-induced changes in volume-fraction-dependent…

Fluid Dynamics · Physics 2026-02-23 Franziska Aurbach , Fei Wang , Britta Nestler

The three-phase contact line formed by the intersection of a liquid-vapor interface of an electrolyte solution with a charged planar substrate is studied in terms of classical density functional theory applied to a lattice model. The…

Soft Condensed Matter · Physics 2016-04-28 Ingrid Ibagon , Markus Bier , S. Dietrich

We have given theoretical expressions for the forces exerted on a quasi-2D flat and smooth solid plate immersed into a liquid pool of a simple liquid. All forces given by the theory, the local forces on the top, the contact line and the…

Chemical Physics · Physics 2020-08-26 Yuta Imaizumi , Takeshi Omori , Hiroki Kusudo , Carlos Bistafa , Yasutaka Yamaguchi

The three-phase contact line of a droplet on a smooth surface can be characterized by the Young-Dupr\'e equation. It relates the interfacial energies with the macroscopic contact angle $\theta_e$. On the mesoscale, wettability is modeled by…

Fluid Dynamics · Physics 2018-07-24 Uwe Thiele , Jacco H. Snoeijer , Sarah Trinschek , Karin John

The curvature dependence of interfacial free energy, which is crucial in quantitatively predicting nucleation kinetics and the stability of bubbles and droplets, can be described in terms of the Tolman length {\delta}. For solid-liquid…

Statistical Mechanics · Physics 2018-08-01 Bingqing Cheng , Michele Ceriotti

We report on the onset of fluid entrainment when a contact line is forced to advance over a dry solid of arbitrary wettability. We show that entrainment occurs at a critical advancing speed beyond which the balance between capillary,…

Soft Condensed Matter · Physics 2015-06-16 Rodrigo Ledesma-Aguilar , Aurora Hernández-Machado , Ignacio Pagonabarraga
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