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Dispersion forces such as van der Waals forces between two microscopic particles, the Casimir--Polder forces between a particle and a macroscopic object or the Casimir force between two dielectric objects are well studied in vacuum.…

The goal of this paper is to describe the various kinetic equations which arise from scaling limits of interacting particle systems. We provide a formalism which allows us to determine the kinetic equation for a given interaction potential…

Mathematical Physics · Physics 2020-12-10 Alessia Nota , Juan J. L. Velázquez , Raphael Winter

Surface tension is a prominent factor for the deformation of solids at micro-/nano-scale. This paper investigates the effects of surface tension on the two-dimensional contact problems of an elastic layer bonded to the rigid substrate.…

Soft Condensed Matter · Physics 2018-10-29 Weike Yuan , Gangfeng Wang

We consider a system of spherical colloidal particles with a size polydispersity and use a simple van der Waals description in order to study the combined effect of both the polydispersity and the spatial non-uniformity induced by a planar…

Statistical Mechanics · Physics 2009-11-07 L. Bellier-Castella , H. Xu , M. Baus

Experimental investigations of surface forces generally involve two solid bodies of simple and well-defined geometry interacting across a medium. Direct measurement of their surface interaction can be interpreted to reveal fundamental…

Soft Condensed Matter · Physics 2020-01-07 Romain Lhermerout , Susan Perkin

Interfaces in two-dimensional systems exhibit unexpected complex dynamical behaviors, the dynamics of a border connecting a stripe pattern and a uniform state is studied. Numerical simulations of a prototype isotropic model, the subcritical…

Pattern Formation and Solitons · Physics 2008-06-05 Marcel G. Clerc , Daniel Escaff , Rene Rojas

We report on ab initio simulation of fluid interface deformations induced either by acoustic or optical radiation pressure. This is done by solving simultaneously the scalar wave propagation equation and the two-phase flow equations using…

An exact description is provided of an almost spherical fluid vesicle with a fixed area and a fixed enclosed volume locally deformed by external normal forces bringing two nearby points on the surface together symmetrically. The conformal…

Soft Condensed Matter · Physics 2013-04-17 Jemal Guven , Pablo Vázquez-Montejo

We present a fully general derivation of the Laplace--Young formula and discuss the interplay between the intrinsic surface geometry and the extrinsic one ensuing from the immersion of the surface in the ordinary euclidean three-dimensional…

Materials Science · Physics 2015-06-17 G. C. Rossi , M. Testa

The reconfiguration of soft, deformable particles upon adsorption at the interface between two fluids underpins many aspects of their dynamics and interactions, ultimately controlling the macroscopic properties of particle monolayers of…

Soft Condensed Matter · Physics 2022-04-21 Jacopo Vialetto , Shivaprakash N. Ramakrishna , Lucio Isa

We present a simple numerical method to simulate the interaction of two non-miscible compressible materials separated by an interface. The media considered may have significantly different physical properties and constitutive laws,…

Numerical Analysis · Mathematics 2014-12-04 Yannick Gorsse , Angelo Iollo , Thomas Milcent , Haysam TELIB

Many biological systems fold thin sheets of lipid membrane into complex three-dimensional structures. This microscopic origami is often mediated by the adsorption and self-assembly of proteins on a membrane. As a model system to study…

Soft Condensed Matter · Physics 2016-10-11 Raphael Sarfati , Eric R. Dufresne

We consider a moving interface that is coupled to an elliptic equation in a heterogeneous medium. The problem is motivated by the study of displacive solid-solid phase transformations. We show that a nearly flat interface is given by the…

Analysis of PDEs · Mathematics 2012-06-13 Patrick W. Dondl , Kaushik Bhattacharya

For partially wetting, ellipsoidal colloids trapped at a fluid interface, their effective, interface--mediated interactions of capillary and fluctuation--induced type are analyzed. For contact angles different from 90$^o$, static interface…

Soft Condensed Matter · Physics 2008-07-11 H. Lehle , E. Noruzifar , M. Oettel

We study the deformation of a liquid interface with arbitrary principal curvatures by a flat circular sheet. Working first at small slopes, we determine the shape of the sheet analytically in the membrane limit, where the sheet is…

Soft Condensed Matter · Physics 2025-06-03 Zachariah S. Schrecengost , Seif Hejazine , Jordan V. Barrett , Vincent Démery , Joseph D. Paulsen

We use a computational model to investigate the emergence of interaction forces between pairs of intruders in a horizontally vibrated granular fluid. The time evolution of a pair of particles shows a maximum of the likelihood to find the…

Soft Condensed Matter · Physics 2020-01-08 Joan Codina , Ignacio Pagonabarraga

The electrophoretic motion of a conducting particle, driven by an induced charge mechanism, is analyzed. The dependence of the motion upon particle shape is embodied in four tensorial coefficients that relate the particle velocities to the…

Fluid Dynamics · Physics 2007-05-23 Ehud Yariv

This paper introduces a new paradigm that integrates the concepts of particle abrasion and breakage. Both processes can co-occur under loading as soil particles are subjected to friction as well as collisions between particles. Therefore,…

Soft Condensed Matter · Physics 2025-02-25 Priya Tripathi , Seung Jae Lee , Moochul Shin , Chang Hoon Lee

The above comment http://dx.doi.org/10.1088/0953-8984/22/42/428001 and a previous letter by the same author reveal a great misunderstanding of what Eulerian and Lagrangian quantities are, and a confusion between the deformation of an…

Other Condensed Matter · Physics 2019-07-04 Juan Olives

Capillary interactions have emerged as a tool for the directed assembly of particles adsorbed at fluid-fluid interfaces, and play a role in controlling the mechanical properties of emulsions and foams. In this paper, following Davies et al.…

Soft Condensed Matter · Physics 2015-07-23 Gary B. Davies , Lorenzo Botto
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