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Related papers: Surface Tension in Kac Glass Models

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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

The Cassie-Baxter state droplet has many local energy minima on the textured surface, while the amount of the energy barrier between them can be affected by the gravity. When the droplet cannot find any local energy minimum point on the…

Soft Condensed Matter · Physics 2020-07-10 Donggyu Kim , Seunghwa Ryu

Strain relaxations of a p(1x2) ordered oxygen layer on W(110) are measured as a function of temperature across the disordering transition using low-energy electron diffraction. The measured strains approach values of 0.027 in the [1-10] and…

Materials Science · Physics 2015-05-18 N. Stojic , T. O. Mentes , N. Binggeli , M. A. Nino , A. Locatelli , E. Bauer

The confliction between the stable interface in phase-separated active Brownian particles and its negative surface tension, obtained mechanically via the active pressure, has sparked considerable debate about the formula of active surface…

Soft Condensed Matter · Physics 2025-03-06 Longfei Li , Zihao Sun , Mingcheng Yang

Phase separated macromolecules play essential roles in many biological and synthetic systems. Physical characterization of these systems can be challenging because of limited sample volumes, particularly for phase-separated proteins. Here,…

In this paper we study finite interaction range corrections to the mosaic picture of the glass transition as emerges from the study of the Kac limit of large interaction range for disordered models. To this aim we consider point to set…

Disordered Systems and Neural Networks · Physics 2009-11-13 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi

We construct a mean field theory for the lattice model of a structural glass and solve it using the replica method and one step replica symmetry breaking ansatz; this theory becomes exact in the limit of infinite dimensions. Analyzing…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. V. Lopatin , L. B. Ioffe

We consider a coupled system of partial differential equations describing the interactions between a closed free interface and two viscous incompressible fluids. The fluids are assumed to satisfy the incompressible Navier-Stokes equations…

Optimization and Control · Mathematics 2023-08-01 Sebastien Court

Surface stresses have recently emerged as a key player in the mechanics of highly compliant solids. The classic theories of contact mechanics describe adhesion with a compliant substrate as a competition between surface energies driving…

Soft Condensed Matter · Physics 2017-11-15 Katharine E. Jensen , Robert W. Style , Qin Xu , Eric R. Dufresne

Simple classical thermodynamic approach to the general description of metastable states is presented. It makes possible to calculate the explicit dependence of the Gibbs free energy on temperature, to calculate the heat capacity, the…

Materials Science · Physics 2007-05-23 Yuri Kornyushin

The surface tension coefficient is a key parameter in fluid mechanics. The conventional method to measure it is to determine the critical surface tension that causes the rupture of a liquid film. However, this method has a large error…

Fluid Dynamics · Physics 2025-01-10 Ziyi Xu , Chongyuan Xu , Liwen Tong , Keyu Chen , Ziwei Dong

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

The equilibrium contact angle of a droplet resting on a solid substrate can reveal essential properties of the solid's surface. However, when the motion of a droplet on a surface shows significant hysteresis, it is generally accepted that…

Soft Condensed Matter · Physics 2021-07-14 Jin Young Kim , Stefanie Heyden , Dominic Gerber , Nicolas Bain , Eric R. Dufresne , Robert W. Style

We perform a static analysis of a circular cylinder that forms a barrier between surfactant-laden and surfactant-free portions of a liquid$-$gas interface. In addition to determining the general implications of the balances for forces and…

Fluid Dynamics · Physics 2019-07-15 Stoffel D. Janssens , Vikash Chaurasia , Eliot Fried

This paper concerns the dynamics of a layer of incompressible viscous fluid lying above a rigid plane and with an upper boundary given by a free surface. The fluid is subject to a constant external force with a horizontal component, which…

Analysis of PDEs · Mathematics 2018-03-14 Ian Tice

We propose a nonlocal model for surface tension. This model, in combination with the Landau-Lifshitz-Navier-Stokes equations, describes mesoscale features of the multiphase flow, including the static (pressure) tensor and curvature…

Fluid Dynamics · Physics 2018-05-23 Alexandre M. Tartakovsky

The replica method has been used to calculate the interface free energy associated with the change from periodic to anti-periodic boundary conditions in finite-dimensional spin glasses. At mean-field level the interface free energy vanishes…

Disordered Systems and Neural Networks · Physics 2009-11-07 T. Aspelmeier , M. A. Moore , A. P. Young

We present in this Letter a free-energy approach to the dynamics of a fluid near a nanostructured surface. The model accounts both for the static phase equilibrium in the vicinity of the surface (wetting angles, Cassie-Wenzel transition)…

Soft Condensed Matter · Physics 2016-09-08 Thierry Biben , Laurent Joly

Apparent tissue surface tension allows the quantification of cell-cell cohesion and was reported to be a powerful indicator for the cellular rearrangements that take place during embryonic development or for cancer progression. The…

Biological Physics · Physics 2009-02-02 Abbas Mgharbel , Hélène Delanoë-Ayari , Jean-Paul Rieu

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