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Related papers: On the Surface Pressure for the Edwards-Anderson M…

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At first, pressure formulas for the electrons under the external potential produced by fixed nuclei are derived both in the surface integral and volume integral forms concerning an arbitrary volume chosen in the system; the surface integral…

Materials Science · Physics 2009-11-07 Junzo Chihara , Ichirou Fukumoto , Mitsuru Yamagiwa , Hiroo Totsuji

This paper concerns the dynamics of two layers of compressible, barotropic, viscous fluid lying atop one another. The lower fluid is bounded below by a rigid bottom, and the upper fluid is bounded above by a trivial fluid of constant…

Analysis of PDEs · Mathematics 2016-04-20 Juhi Jang , Ian Tice , Yanjin Wang

The elastic deformation of a soft solid induced by capillary forces crucially relies on the excess stress inside the solid-liquid interface. While for a liquid-liquid interface this "surface stress" is strictly identical to the "surface…

Soft Condensed Matter · Physics 2015-06-17 Joost H. Weijs , Jacco H. Snoeijer , Bruno Andreotti

At low pressure, free surfaces play a crucial role in the melting transition. Under pressure, the surface of the sample is acted upon by some pressure transmitting medium. To examine the effect of this medium on melting, we performed Monte…

Statistical Mechanics · Physics 2009-11-11 V. Sorkin , E. Polturak , Joan Adler

We have developed a simulation model to describe particle adsorption to and desorption from liquid interfaces. Using this model we formulate a closed interfacial equation of state for repulsive elastic spheres. The effect of a long-range…

Soft Condensed Matter · Physics 2011-02-24 Robert D. Groot , Simeon D. Stoyanov

The approach of global isomorphism between the fluid and the Ising model is applied to obtain an expression for the surface tension of the Lennard-Jones fluid on the basis of the information about the Ising model. This is done in a broad…

Chemical Physics · Physics 2018-12-24 A. Maslechko , K. Glavatskiy , V. Kulinskii

In this paper, a phase-field model is introduced to describe the evolution of a deformable, self-propelled object driven by surface-tension effects. The model couples an Allen-Cahn-type equation, which distinguishes the body from the…

Analysis of PDEs · Mathematics 2026-05-20 Masaharu Nagayama , Koya Sakakibara , Keisuke Takasao

In the present work we investigate a new statistical ensemble, which seems logical to be entitled the open one, for the case of a one-component system of ordinary particles. Its peculiarity is in complementing the consideration of a system…

Statistical Mechanics · Physics 2009-12-13 V. M. Zaskulnikov

Inhomogeneous fluids exhibit physical properties that are neither uniform nor isotropic. The pressure tensor is a case in point, key to the mechanical description of the interfacial region. Kirkwood and Buff, and later Irving and Kirkwood,…

Statistical Mechanics · Physics 2018-08-15 Carlos Braga , Edward Smith , Andreas Nold , David N. Sibley , Serafim Kalliadasis

We prove that the 3-D compressible Euler equations with surface tension along the moving free-boundary are well-posed. Specifically, we consider isentropic dynamics and consider an equation of state, modeling a liquid, given by Courant and…

Analysis of PDEs · Mathematics 2012-08-15 Daniel Coutand , Jason Hole , Steve Shkoller

In this paper a model for viscous boundary and shear layers in three-dimensions is introduced and termed a vortex-entrainment sheet. The vorticity in the layer is accounted for by a conventional vortex sheet. The mass and momentum in the…

Fluid Dynamics · Physics 2019-03-27 A. C. DeVoria , K. Mohseni

In this paper we study the properties of the quenched pressure of a multi-layer spin-glass model (a deep Boltzmann Machine in artificial intelligence jargon) whose pairwise interactions are allowed between spins lying in adjacent layers and…

Statistical Mechanics · Physics 2020-02-26 Diego Alberici , Adriano Barra , Pierluigi Contucci , Emanuele Mingione

In this paper we use molecular dynamics (MD) to answer a classical question: how does the surface tension on a liquid/gas interface appear? After defining surface tension from the first principles and performing several consistency checks,…

Soft Condensed Matter · Physics 2013-10-24 Alex Lukyanov , Alexei Likhtman

This reply shows that the argument presented in the comment by Jorg and Krzakala (cond mat 0709.0894) cannot be used to weaken the results presented in our paper on ultrametricity evidence in the 3d Edwards Anderson model (PRL 99, 057206,…

Disordered Systems and Neural Networks · Physics 2013-05-29 Pierluigi Contucci , Cristian Giardinà , Claudio Giberti , Giorgio Parisi , Cecilia Vernia

We study surface effects in amorphous polymer systems by means of computer simulation. In the framework of molecular dynamics, we present two different methods to prepare such surfaces. {\em Free} surfaces are stabilized solely by…

Condensed Matter · Physics 2009-10-28 Thorsten Hapke , Andreas Linke , Gerald Paetzold , Dieter W. Heermann

This paper presents a study of acoustic scattering by a cylinder of either infinite or finite length near a flat pressure-release surface. A novel self-consistent method is developed to describe the multiple scattering interactions between…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Zhen Ye , You-Yu Chen

Thermodynamic quantities of the hard-sphere system in the steady state with a small heat flux are calculated within the continuous media approach. Analytical expressions for pressure, internal energy, and entropy are found in the…

Statistical Mechanics · Physics 2017-02-13 Y. A. Humenyuk

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

For a thin shell, the intrinsic 3-pressure will be shown to be analogous to -A, where A is the classical surface tension: First, interior and exterior Schwarzschild solutions will be matched together such that the surface layer generated at…

General Relativity and Quantum Cosmology · Physics 2008-11-26 H. -J. Schmidt

We study the sample-to-sample fluctuations of the overlap probability densities from large-scale equilibrium simulations of the three-dimensional Edwards-Anderson spin glass below the critical temperature. Ultrametricity, Stochastic…