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The interaction energy between a water molecule and graphitic structured clusters terminated by hydrogen atoms is analyzed by ab initio methods and decomposed into electrostatic, induction, Pauli repulsion, and correlation energy…

Computational Physics · Physics 2008-01-21 D. J. Wallace Geldart , I. Wayan Sudiarta , Glen Lesins , Petr Chylek

This is a companion paper to arXiv:1207.3529 where we introduced the spinorial energy functional and studied its main properties in dimensions equal or greater than three. In this article we focus on the surface case. A salient feature here…

Differential Geometry · Mathematics 2018-11-13 Bernd Ammann , Hartmut Weiss , Frederik Witt

The contribution to the free energy for a film of liquid of thickness $h$ on a solid surface, due to the interactions between the solid-liquid and liquid-gas interfaces is given by the binding potential, $g(h)$. The precise form of $g(h)$…

Soft Condensed Matter · Physics 2015-07-08 Adam P. Hughes , Uwe Thiele , Andrew J. Archer

The organization of water molecules and ions between charged mineral surfaces determines the stability of colloidal suspensions and the strength of phase-separated particulate gels. In this article we assemble a density functional that…

Soft Condensed Matter · Physics 2024-05-15 Thomas Petersen

General expression for the thermodynamic potential of the model of semi-infinite jellium is obtained. By using this expression, the surface energy for infinite barrier model is calculated. The behavior of the surface energy and of chemical…

Statistical Mechanics · Physics 2015-09-30 P. P. Kostrobij , B. M. Markovych

We demonstrate the continuous translational invariance of the energy of a capillary surface in contact with reconfigurable solid boundaries. We present a theoretical approach to find the energy-invariant equilibria of spherical capillary…

Soft Condensed Matter · Physics 2017-06-28 Elfego Ruiz-Gutiérrez , James Jian Guan , Ben Xu , Glen McHale , Gary G Wells , Rodrigo Ledesma-Aguilar

Classically, surface tension is seen as a force per unit length or as energy per unit area. The surface energy is calculated thermodynamically on the surface of a mathematical layer with no thickness. The surface energy concept is certainly…

Fluid Dynamics · Physics 2025-04-24 Andre Schiltz

We present a detailed analysis of the free energy surface of a well characterized rigid model for water in supercooled states. We propose a functional form for the liquid free energy, supported by recent theoretical predictions [Y.…

Statistical Mechanics · Physics 2009-10-31 A. Scala , F. W. Starr , E. La Nave , H. E. Stanley , F. Sciortino

The purpose of this communication is to discuss the simulation of a free surface compressible flow between two fluids, typically air and water. We use a two fluid model with the same velocity, pressure and temperature for both phases. In…

Computational Physics · Physics 2020-02-20 Frederic Dias , Denys Dutykh , Jean-Michel Ghidaglia

Surface stress and surface energy are two fundamental parameters that determine the surface properties of any materials. While it is commonly believed that the surface stress and surface energy of liquids are identical, the relationship…

Soft Condensed Matter · Physics 2022-06-22 Weiwei Zhao , Jianhui Zhou , Haitao Hu , Chang Xu , Qin Xu

In this study we consider the problem of the interface motion under the capillary-gravity and an external electric forces. The infinitely deep fluid layer is assumed to be viscous, perfectly conducting and the flow to be incompressible. The…

Fluid Dynamics · Physics 2020-02-20 Matthew Hunt , Denys Dutykh

Using density functional theory we calculate the density profiles of a binary solvent adsorbed around a pair of big solute particles. All species interact via repulsive Gaussian potentials. The solvent exhibits fluid-fluid phase separation…

Soft Condensed Matter · Physics 2007-05-23 A. J. Archer , R. Evans , R. Roth , M. Oettel

Using Lifshitz theory we assess the role of van der Waals forces at interfaces of ice and water. The results are combined with measured structural forces from computer simulations to develop a quantitative model of the surface free energy…

Soft Condensed Matter · Physics 2022-11-14 Juan Luengo-Marquez , Fernando Izquierdo-Ruiz , Luis G. MacDowell

We study the interaction energy between two surfaces, one of them flat, the other describable as the composition of a small-amplitude corrugation and a slightly curved, smooth surface. The corrugation, represented by a spatially random…

High Energy Physics - Theory · Physics 2015-06-22 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

We show that, at high densities, fully variational solutions of solid-like type can be obtained from a density functional formalism originally designed for liquid 4He. Motivated by this finding, we propose an extension of the method that…

Other Condensed Matter · Physics 2009-11-11 F. Ancilotto , M. Barranco , F. Caupin , R. Mayol , M. Pi

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

Surface stress and surface energy are fundamental quantities which characterize the interface between two materials. Although these quantities are identical for interfaces involving only fluids, the Shuttleworth effect demonstrates that…

Soft Condensed Matter · Physics 2018-05-09 Rafael D. Schulman , Miguel Trejo , Thomas Salez , Elie Raphael , Kari Dalnoki-Veress

Wave phenomena in vibrofluidized dry and partially wet granular materials confined in a quasi-two-dimensional geometry are investigated with numerical simulations considering individual particles as hard spheres. Short ranged cohesive…

Soft Condensed Matter · Physics 2018-06-06 Kai Huang

We present an explicit finite difference method to simulate the non-ideal multi-phase fluid flow. The local density and the momentum transport are modeled by the Navier-Stokes (N-S) equations and the pressure is computed by the Van der…

Fluid Dynamics · Physics 2023-07-12 Chunheng Zhao , Alexandre Limare , Stephane Zaleski

Using the chemical potential of a solid in a dissolved state or the corresponding component of the chemical potential tensor at equilibrium with the solution, a new concept of grand thermodynamic potential for solids has been suggested.…

Statistical Mechanics · Physics 2009-10-27 A. I. Rusanov , A. K. Shchekin , D. V. Tatyanenko
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