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An unconstrained, non-linearly elastic, semi-infinite solid is maintained in a state of large static plane strain. A power-law relation between the pre-stretches is assumed and it is shown that this assumption is well-motivated physically…

经典物理 · 物理学 2008-12-09 J. G. Murphy , M. Destrade

We derive the energy of the surface between the normal and superfluid components of a mixed phase of a system composed of two particle species with different densities. The surface energy is obtained by the integration of the free energy…

超导电性 · 物理学 2009-11-11 Heron Caldas

We derive a simple rule to determine surface plasmon energies, based on the geometrical properties of the surface of the metal. We apply this concept to obtain the surface plasmon energies in wedges, corners and conical tips. The results…

材料科学 · 物理学 2011-03-16 R. Vincent , J. I. Juaristi , P. Apell

Si(111) and Ge(111) surface formation energies were calculated using density functional theory for various biaxial strain states ranging from -0.04 to 0.04, and for a wide set of experimentally observed surface reconstructions: 3x3, 5x5,…

材料科学 · 物理学 2015-06-12 R. Zhachuk , S. Teys , J. Coutinho

Experimental determination of absolute surface energies remains a challenge. We propose a simple method based on two independent measurements on 3D and 2D equilibrium shapes completed by the analysis of the thermal fluctuation of an…

材料科学 · 物理学 2009-11-13 J. J. Metois , P. Muller

We study a three-dimensional incompressible viscous fluid in a horizontally periodic domain with finite depth whose free boundary is the graph of a function. The fluid is subject to gravity and generalized forces arising from a surface…

偏微分方程分析 · 数学 2018-06-21 Antoine Remond-Tiedrez , Ian Tice

The energy-based definition provides a viable resolution to the longstanding confusion on the proper definition of $n$-th order rigidity and flexibility in geometric constraint systems. Applying an energy-based local rigidity analysis to…

度量几何 · 数学 2025-06-30 Zeyuan He

We define the coarse-grained entropy of a `normal' surface $\sigma$, i.e., a surface that is neither trapped nor antitrapped. Following Engelhardt and Wall, the entropy is defined in terms of the area of an auxiliary extremal surface. This…

高能物理 - 理论 · 物理学 2019-02-08 Raphael Bousso , Yasunori Nomura , Grant N. Remmen

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…

流体动力学 · 物理学 2025-04-24 Andre Schiltz

We evaluate the conditions for surface stability of a layered magnetoelastic half-space subjected to large deformations and a magnetic field. After reviewing the fundamental measures of deformation and summarizing the magnetostatic…

数值分析 · 数学 2026-01-06 Davood Shahsavari , Luis Dorfmann , Prashant Saxena

Surface energies for different GaAs surface orientations have been calculated as a function of the chemical potential. We use an energy density formalism within the first-principles pseudopotential density-functional approach. The…

mtrl-th · 物理学 2009-10-30 N. Moll , A. Kley , E. Pehlke , M. Scheffler

This paper is devoted to the stabilization of the water-wave equations with surface tension through of an external pressure acting on a small part of the free surface. It is proved that the energy decays to zero exponentially in time,…

偏微分方程分析 · 数学 2016-10-26 Thomas Alazard

The surface free energy is the difference between the free energies for a system with open boundary conditions and the same system with periodic boundary conditions. We use the quantum transfer matrix formalism to express the surface free…

统计力学 · 物理学 2015-06-25 Frank Göhmann , Michael Bortz , Holger Frahm

The estimation of the surface tension of water is theoretically dealt on the basis of the dipole molecular model. It is known that the experimentally determined surface tension of freshly exposed surface has a higher value than the nominal…

化学物理 · 物理学 2007-05-23 Naohisa Ogawa , Yoshiki Matsuura

We study the dependence of the surface tension of a fluid interface on the density profile of a third suspended phase. By means of an approximated model for the binary mixture and of a perturbative approach we derive close formulas for the…

统计力学 · 物理学 2021-02-03 Alessio Squarcini , Paolo Malgaretti

We consider a relaxed notion of energy of non-parametric codimension one surfaces that takes account of area, mean curvature, and Gauss curvature. It is given by the best value obtained by approximation with inscribed polyhedral surfaces.…

微分几何 · 数学 2020-05-19 Domenico Mucci , Alberto Saracco

Reconsidering the variational procedure for uniaxial systems modeled by continuous free energy functionals, we derive new general conditions for thermodynamic extrema. The utility of these conditions is briefly illustrated on the models for…

统计力学 · 物理学 2009-10-30 V. Dananic , A. Bjelis

We consider the atomistic origin and the main mechanisms determining the energy of a liquid interface after relaxation. A simple theory is constructed for the monatomic densely packed liquids that allows calculation of the surface tension…

统计力学 · 物理学 2025-08-11 Dmitry M. Naplekov , Vladimir V. Yanovsky

Surface energy is fundamental in controlling surface properties and surface-driven processes like heterogeneous catalysis, as adsorption energy is. It is thus crucial to establish an effective scheme to determine surface energy and its…

材料科学 · 物理学 2020-09-22 Bo Li , Xin Li , Wang Gao , Qing Jiang

We have considered a model of a small finite system with internal particles and surface degrees of freedom. All the main statistical distributions were explicitly obtained, on a pre thermodynamic limit basis. The concept of temperature or…

统计力学 · 物理学 2025-08-11 D. M. Naplekov , V. V. Yanovsky
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