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Related papers: The Young-Laplace equation for a solid-liquid inte…

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The Young-Laplace's equation is established based on liquid membrane without shearing resistance. It is not valid for solid. By taking into account the in-plane shearing and transverse shearing within the surface layer, we reconstruct the…

Materials Science · Physics 2018-11-30 Zaixing Huang

The properties of the interface between solid and melt are key to solidification and melting, as the interfacial free energy introduces a kinetic barrier to phase transitions. This makes solidification happen below the melting temperature,…

Statistical Mechanics · Physics 2015-12-02 Bingqing Cheng , Gareth A. Tribello , Michele Ceriotti

The theory of interfacial properties in liquid-liquid or liquid-vapour systems is nearly 200 years old. The advent of computational tools has greatly advanced the field, mainly through the use of Molecular Dynamics simulations. Despite the…

Even though the study of interfacial phenomena dates back to Laplace and was formalised by Gibbs, it appears that some concepts and relations among them are still causing some confusion and debates in the literature, particularly for…

Statistical Mechanics · Physics 2020-03-30 Nicodemo Di Pasquale , Ruslan L. Davidchack

We investigate the nature of vapor bubble nucleation near a nanoscale-curved convex liquid-solid interface using two models; an equilibrium Gibbs model for homogenous formation, and a nonequilibrium dynamic van der Waals/diffuse interface…

Fluid Dynamics · Physics 2018-03-28 Jarrod Schiffbauer , Tengfei Luo

We used a thermodynamic integration scheme, which is specifically designed for disordered systems, to compute the interfacial free energy of the solid-liquid interface in the hard-sphere model. We separated the bulk contribution to the…

Computational Physics · Physics 2020-10-28 Moritz Bültmann , Tanja Schilling

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 consider the nonlocal multiscale model for surface tension \citep{Tartakovsky2018} as an alternative to the (macroscale) Young-Laplace law. The nonlocal model is obtained in the form of an integral of a molecular-force-like function with…

Fluid Dynamics · Physics 2019-05-22 Amanda A. Howard , Yongcheng Zhou , Alexandre M. Tartakovsky

We study both diffuse and sharp liquid-vapor interfaces. The equilibrium equation of fluids is derived by using the principle of virtual work in a domain including the interfaces. For diffuse interfaces, the surface tension coefficient…

Mathematical Physics · Physics 2026-05-27 Sergey L. Gavrilyuk , Henri Gouin

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

The contact angle of a macroscopic droplet on a heterogeneous but flat substrate is studied using the interface displacement model which can lead to the augmented Young-Laplace equation. Droplets under the condition of constant volume as…

Soft Condensed Matter · Physics 2007-05-23 Masao Iwamatsu

The equation of motions and the conditions on surfaces and edges between fluids and solids in presence of non-constant surface energies, as in the case of surfactants attached to the fluid particles at the interfaces, are revisited under…

Soft Condensed Matter · Physics 2013-11-06 Henri Gouin

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 hard sphere crystal-liquid interfacial free energy, ($\gamma_{\rm cl}$), is determined from molecular dynamics simulations using a novel thermodynamic integration (TI) scheme. The advantage of this TI scheme compared to previous methods…

Soft Condensed Matter · Physics 2015-06-23 Ronald Benjamin , Jürgen Horbach

By extending the theoretical framework derived in our previous study [Y. Imaizumi et al., J. Chem. Phys. 153, 034701 (2020)], we successfully calculated the solid-liquid (SL) and solid-vapor (SV) interfacial tensions of a simple…

Soft Condensed Matter · Physics 2021-11-29 Keitaro Watanabe , Hiroki Kusudo , Carlos Bistafa , Takeshi Omori , Yasutaka Yamaguchi

Several model fluids in contact with planar, spherical, and cylindrical walls are investigated for small number densities within density functional theory. The dependence of the solid-fluid interfacial tension on the curvature of spherical…

Statistical Mechanics · Physics 2015-05-05 Andreas Reindl , 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 current work employed absolutely smooth surface and lattice structure surface to distinguish the relationship between intrinsic wettability of different combinations of liquid and solid particles and the microscopic interparticle…

Soft Condensed Matter · Physics 2020-11-10 Haohao Gu , Hao Wang

The solid-liquid interface free energy \gamma sl is a key parameter controlling nucleation and growth during solidification and other phenomena. There are intrinsic difficulties in obtaining accurate experimental values, and the previous…

Materials Science · Physics 2010-05-20 Stefano Angioletti-Uberti , Michele Ceriotti , Mike W. Finnis , Peter D. Lee

Crystal nucleation studies using hard-sphere and Lennard-Jones models have shown that the pressure within the nucleus is lower than that in the surrounding liquid. Here, we use the mechanical route to obtain it for an ice nucleus in…

Soft Condensed Matter · Physics 2025-11-26 Pablo Montero de Hijes , Kaihang Shi , Carlos Vega , Christoph Dellago
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