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We study numerically the stress distribution on the interface between two thick elastic media bounded by interfaces that include spatially correlated asperities. The interface roughness is described using the self-affine topography that is…

Condensed Matter · Physics 2015-06-24 Alex Hansen , Jean Schmittbuhl , G. George Batrouni , Fernando A. Oliveira

Role of range of interactions in a model of charged particles diffusing on a two-dimensional lattice is studied. We investigate, via Monte Carlo simulations, three models. In the first one interactions are restricted to nearest neighbors,…

Disordered Systems and Neural Networks · Physics 2009-04-07 Krzysztof Pawlikowski , Andrzej Pȩkalski

An original MEMS-based force sensing device is designed which allows to measure spatially resolved normal and tangential stress fields at the base of an elastomeric film. This device is used for the study of the contact stress between a…

Soft Condensed Matter · Physics 2007-11-08 J. Scheibert , A. Prevost , J. Frelat , P. Rey , G. Debrégeas

In this paper we will consider the contact process in a very simple type of random environment that physicists call the random dilution model. We start with the contact process on a graph, here either $\mathbb{Z}^d$, a $d$-dimensional torus…

Probability · Mathematics 2025-06-02 Rick Durrett

Starting from the Lifshitz formula for the Casimir force between parallel plates we calculate the difference between the forces at two different settings, one in which the temperature is $T_1=350$ K, the other when $T_2=300$ K. As material…

Quantum Physics · Physics 2007-05-23 I. Brevik , J. B. Aarseth , J. S. Hoye , K. A. Milton

Up to now there has been no reliable method to calculate the Casimir force when surface roughness becomes comparable with the separation between bodies. Statistical analysis of rough Au films demonstrates rare peaks with heights…

Mesoscale and Nanoscale Physics · Physics 2011-07-11 Wijnand Broer , George Palasantzas , Jasper Knoester , Vitaly B. Svetovoy

The equilibrium shape of liquid drops on elastic substrates is determined by minimising elastic and capillary free energies, focusing on thick incompressible substrates. The problem is governed by three length scales: the size of the drop…

Shapes of colloids matter at liquid interfaces. We explore the interactions between rough-surfaced nanocolloids at the air--water interface through the compaction of monolayers experimentally and numerically. Sufficiently rough systems…

Soft Condensed Matter · Physics 2023-05-17 Airi N. Kato , Yujie Jiang , Wei Chen , Ryohei Seto , Tao Li

Recently, it has been shown that while asperity models show correctly qualitative features of rough contact problems (linearity in area-load, negative exponential dependence of load on separation which means also linearity of stiffness with…

Materials Science · Physics 2016-02-25 M. Ciavarella

We study the dynamics of the contact between a pair of surfaces (with properties designed to mimic ruthenium) via molecular dynamics simulations. In particular, we study the contact between a ruthenium surface with a single nanoasperity and…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Alan Barros de Oliveira , Andrea Fortini , Sergey V. Buldyrev , David Srolovitz

We study the static and dynamic interaction between a horizontal cylindrical nano-probe and a thin liquid film. The effects of the physical and geometrical parameters, with a special focus on the film thickness, the probe speed, and the…

Mesoscale and Nanoscale Physics · Physics 2017-06-05 René Ledesma-Alonso , Elie Raphaël , Thomas Salez , Philippe Tordjeman , Dominique Legendre

Forces induced by quantum fluctuations of electromagnetic field control adhesion phenomena between rough solids when the bodies are separated by distances ~10nm. However, this distance range remains largely unexplored experimentally in…

Mesoscale and Nanoscale Physics · Physics 2020-06-09 V. B. Svetovoy , A. V. Postnikov , I. V. Uvarov , F. I. Stepanov , G. Palasantzas

Liquid wetting of a surface is omnipresent in nature and the advance of micro-fabrication and assembly techniques in recent years offers increasing ability to control this phenomenon. Here, we identify how surface roughness influences the…

Solid friction between two rough surfaces is often observed to increase logarithmically over time due to contact creeping. An intriguing question is whether a similar aging effect occurs in contact line (CL) friction over rough substrates.…

Soft Condensed Matter · Physics 2025-03-06 Caishan Yan , Penger Tong , Qin Xu

A liquid foam in contact with a solid surface forms a two-dimensional foam on the surface. We derive the equilibrium equations for this 2D foam when the solid surface is curved and smooth, generalising the standard case of flat Hele Shaw…

Soft Condensed Matter · Physics 2009-11-11 M. Mancini , C. Oguey

We study theoretically and numerically the elastic properties of hard sphere glasses, and provide a real-space description of their mechanical stability. In contrast to repulsive particles at zero-temperature, we argue that the presence of…

Soft Condensed Matter · Physics 2015-06-18 E. DeGiuli , E. Lerner , C. Brito , M. Wyart

In this paper, we discuss the mechanics and planning algorithms to slide an object on a horizontal planar surface via frictional patch contact made with its top surface. Here, we propose an asymmetric dual limit surface model to determine…

Robotics · Computer Science 2023-05-24 Xili Yi , Nima Fazeli

The effect of surface curvature on the law relating frictional forces F with normal load L is investigated by molecular dynamics simulations as a function of surface symmetry, adhesion, and contamination. Curved, non-adhering, dry,…

Materials Science · Physics 2009-10-31 Ludger Wenning , Martin H. Muser

With a novel 3D discrete-element method specially developed with adhesive contact mechanics, random loose packings of uniform spherical micron-sized particles are fully investigated. The results show that large velocity, large size or weak…

Soft Condensed Matter · Physics 2016-09-12 Wenwei Liu , Shuiqing Li , Sheng Chen

When a liquid drop impacts on a heated substrate, it can remain deposited, or violently boil in contact, or lift off with or without ever touching the surface. The latter is known as the Leidenfrost effect. The duration and area of the…

Fluid Dynamics · Physics 2020-10-26 Sang-Hyeon Lee , Kirsten Harth , Maaike Rump , Minwoo Kim , Detlef Lohse , Kamel Fezzaa , Jung Ho Je