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Contact angle hysteresis of a macroscopic droplet on a heterogeneous but flat substrate is studied using the interface displacement model. First, the apparent contact angle of a droplet on a heterogeneous surface under the condition of…

Soft Condensed Matter · Physics 2007-05-23 Masao Iwamatsu

We consider a liquid drop sitting on a rough solid surface at equilibrium, a volume constrained minimizer of the total interfacial energy. The large-scale shape of such a drop strongly depends on the micro-structure of the solid surface.…

Analysis of PDEs · Mathematics 2016-12-22 William M. Feldman , Inwon C. Kim

The effect of 'bridge splitting' is considered in the case of capillary adhesion: for a fixed total volume of liquid, does having more capillary bridges increase the total adhesion force? Previous studies have shown that the…

Fluid Dynamics · Physics 2021-09-13 Matthew D. Butler , Dominic Vella

Fluid-structure interactions are ubiquitous in nature and technology. However, the systems are often so complex that numerical simulations or ad hoc assumptions must be used to gain insight into the details of the complex interactions…

The effects of line tension on the morphology of a lens-shaped droplet and bubble placed on the inner wall of a spherical cavity are studied. The contact angle between the lens-shaped droplet and the concave spherical substrate is expressed…

Soft Condensed Matter · Physics 2016-05-04 Masao Iwamatsu

We account for the presence of surface charges towards describing variations in the dynamic contact angle of an advancing liquid-gas meniscus. Starting from the thin-film based formalism, we present closed-form analytical expressions…

Fluid Dynamics · Physics 2015-09-11 Palash V. Acharya , Kaustav Chaudhury , Suman Chakraborty

We demonstrate the continuous translational invariance of the energy of a capillary surface in contact with reconfigurable solid boundaries. We present a theoretical approach to find the energy-invariant equilibria of spherical capillary…

Soft Condensed Matter · Physics 2017-06-28 Elfego Ruiz-Gutiérrez , James Jian Guan , Ben Xu , Glen McHale , Gary G Wells , Rodrigo Ledesma-Aguilar

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

The problem of measuring nontrivial static correlations in deeply supercooled liquids made recently some progress thanks to the introduction of amorphous boundary conditions, in which a set of free particles is subject to the effect of a…

Disordered Systems and Neural Networks · Physics 2015-06-11 G. Gradenigo , R. Trozzo , A. Cavagna , T. S. Grigera , P. Verrocchio

We show that the vibrational response of a glassy liquid at finite frequencies can be described by continuum mechanics despite the vast degeneracy of the vibrational ground state; standard continuum elasticity assumes a unique ground state.…

Disordered Systems and Neural Networks · Physics 2015-06-23 Dmytro Bevzenko , Vassiliy Lubchenko

We present a study of the solvation properties of model aqueous electrode interfaces. The exposed electrodes we study strongly bind water and have closed packed crystalline surfaces, which template an ordered water adlayer adjacent to the…

Statistical Mechanics · Physics 2015-06-11 David T. Limmer , Adam P. Willard , Paul A. Madden , David Chandler

Molecular dynamics simulations of two-dimensional soft Yukawa fluids are performed to analyze the effect that the range of interaction has on coexisting densities and line tension. The attractive one-component fluid and equimolar mixtures…

Soft Condensed Matter · Physics 2012-07-16 G. A. Méndez-Maldonado , M. González-Melchor , J. Alejandre

Pure liquids in thermodynamic equilibrium are structurally homogeneous. In liquid crystals, flow and light pulses are used to create reconfigurable domains with polar order. Moreover, through careful engineering of concerted microfluidic…

Soft Condensed Matter · Physics 2020-01-03 Tadej Emeršič , Rui Zhang , Žiga Kos , Simon Čopar , Natan Osterman , Juan J. de Pablo , Uroš Tkalec

We define the dielectric constant (susceptibility) that should enter the Maxwell boundary value problem when applied to microscopic dielectric interfaces. The dielectric constant (susceptibility) of the interface is defined by exact…

Soft Condensed Matter · Physics 2016-08-03 Mohammadhasan Dinpajooh , Dmitry V. Matyushov

When a fluid surface adheres to a substrate, the location of the contact line adjusts in order to minimize the overall energy. This adhesion balance implies boundary conditions which depend on the characteristic surface deformation…

Soft Condensed Matter · Physics 2011-11-09 Markus Deserno , Martin M. Mueller , Jemal Guven

We use numerical simulation to examine the possibility of a reversible liquid-liquid transition in supercooled water and related systems. In particular, for two atomistic models of water, we have computed free energies as functions of…

Statistical Mechanics · Physics 2012-05-11 David T. Limmer , David Chandler

The Fermi liquid-Wigner crystal transition in a two dimensional electronic system is revisited with a focus on the nature of the fixed node approximation done in quantum Monte Carlo calculations. Recently, we proposed (Phys. Rev. Lett. 94,…

Strongly Correlated Electrons · Physics 2009-11-11 X. Waintal

Understanding the interaction between two bodies in a liquid metal is important for developing metals with high stiffness, strength, plasticity, and thermal stability. We conducted atomic force microscopy measurements in liquid Ga and…

We present an analytical calculation of the hydrodynamic interaction between two spherical particles near an elastic interface such as a cell membrane. The theory predicts the frequency dependent self- and pair-mobilities accounting for the…

Fluid Dynamics · Physics 2016-08-03 Abdallah Daddi-Moussa-Ider , Stephan Gekle

The collision of water and elastic liquid drops with a thin cylinder (thread) is studied. The droplet flight trajectory and the cylinder axis are mutually perpendicular. Attention is focused on the difference between collisions of water…

Fluid Dynamics · Physics 2021-06-10 Alla O. Rudenko , Alexey I. Fedyushkin , Aleksey N. Rozhkov