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It is well-known that liquid and saturated vapor, separated by a flat interface in an unbounded space, are in equilibrium. One would similarly expect a liquid drop, sitting on a flat substrate, to be in equilibrium with the vapor…

软凝聚态物质 · 物理学 2021-09-29 E. S. Benilov

We report on new instabilities of the quasi-static equilibrium of water drops pinned by a hydrophobic inclined substrate. The contact line of a statically pinned drop exhibits three transitions of partial depinning: depinning of the…

流体动力学 · 物理学 2009-11-13 Viatcheslav V. Berejnov , Robert E. Thorne

We discuss the analogy of the behaviour of films and drops of liquid on a rotating horizontal cylinder on the one hand and substrates with regular one-dimensional wettability patterns on the other hand. Based on the similarity between the…

流体动力学 · 物理学 2013-03-25 Uwe Thiele

A solid substrate, when exposed to a vapour, can interact with it in such a way that sufficiently close to liquid-vapour coexistence a macroscopically thick liquid wetting layer is formed on the substrate surface. If such a wetting…

统计力学 · 物理学 2009-10-30 N. B. Wilding , M. Krech

Wettability of a substrates is characterized by a contact angle. Applicability of the simple formula developed by Derjaguin, which relates to the contact angle and disjoining pressure to nano-scale liquid droplets is reconsidered within the…

软凝聚态物质 · 物理学 2013-01-01 Masao Iwamatsu

We show how dynamical equations for liquid films and drops on uneven surfaces, including contact line dynamics and evaporation/condensation effects, may be formulated as a variational dynamics, generated via Onsager's variational principle.…

软凝聚态物质 · 物理学 2026-05-15 Gyula I Tóth , David N Sibley , Agnes J Bokányi-Tóth , Dmitri Tseluiko , Andrew J Archer

We examine whether cubic non-linearities, allowed by symmetry in the elastic energy of a contact line, may result in a different universality class at depinning. Standard linear elasticity predicts a roughness exponent zeta=1/3 (one loop),…

软凝聚态物质 · 物理学 2013-05-29 Pierre Le Doussal , Kay Joerg Wiese , Elie Raphael , Ramin Golestanian

In 1805, Young was the first who introduced an expression for contact angle in static, but today, the motion of the contact-line formed at the intersection of two immiscible fluids and a solid is still subject to dispute. By means of the…

经典物理 · 物理学 2008-01-22 Henri Gouin

We investigate the wicking in granular media by considering layers of grains at the surface of a liquid, and discuss the critical contact angle below which spontaneous impregnation takes place. This angle is found to be on the order of…

流体动力学 · 物理学 2013-04-10 Pascal S. Raux , Héloise Cockenpot , Marco Ramaioli , David Quéré , Christophe Clanet

We study the non-equilibrium dynamics (purely dissipative and relaxational) in a semi-infinite system following a quench from the high temperature disordered phase to its critical temperature. We show that the local autocorrelation near the…

凝聚态物理 · 物理学 2009-10-28 Satya N. Majumdar , Anirvan M. Sengupta

Liquid drops slide more slowly over soft, deformable substrates than over rigid solids. This phenomenon can be attributed to the viscoelastic dissipation induced by the moving wetting ridge, which inhibits a rapid motion, and is called…

The wetting behavior of a liquid on solid substrates is governed by the nature of the effective interaction between the liquid-gas and the solid-liquid interfaces, which is described by the binding or wetting potential $g(h)$ which is an…

软凝聚态物质 · 物理学 2017-07-13 Oleg Buller , Walter Tewes , Andrew J. Archer , Andreas Heuer , Uwe Thiele , Svetlana V. Gurevich

For super-heated water on a substrate with hydrophobic patches immersed in a hydrophilic matrix, one can choose the temperature so that micro-bubbles will form, grow and merge on the hydrophobic patches and not on the hydrophilic matrix.…

流体动力学 · 物理学 2023-01-16 J. C. Fernandez Toledano , J. De Coninck , F. Dunlop , T. Huillet

We study the critical droplet for a close-to-equilibrium Widom-Rowlinson model of interacting particles, represented by disks of radius $1$, in the two-dimensional plane at low temperature. The critical droplet is the set of macroscopic…

数学物理 · 物理学 2026-03-16 Frank den Hollander , Sabine Jansen , Roman Kotecký , Elena Pulvirenti

We consider the spreading of a thin two-dimensional droplet on a solid substrate. We use a model for viscous fluids where the evolution is governed by Darcy's Law. At the triple point where air and liquid meet the solid substrate, the…

偏微分方程分析 · 数学 2012-04-12 Hans Knüpfer , Nader Masmoudi

Using a minimal algebraic model for the thermodynamics of binary rod--polymer mixtures, we provide evidence for a quintuple phase equilibrium; an observation that seems to be at odds with the Gibbs phase rule for two-component systems. Our…

软凝聚态物质 · 物理学 2020-09-21 V. F. D. Peters , M. Vis , Á. González García , H. H. Wensink , R. Tuinier

We investigate the equilibrium of a fluid in contact with a solid boundary through a density-functional theory. Depending on the conditions, the fluid can be in one phase, gas or liquid, or two phases, while the wall induces an external…

流体动力学 · 物理学 2012-02-06 Antonio Pereira , Serafim Kalliadasis

This study deals with a simple pure fluid whose temperature is slightly below its critical temperature and whose density is nearly critical, so that the gas and liquid phases coexist. Under equilibrium conditions, such a liquid completely…

流体动力学 · 物理学 2016-01-27 Y Garrabos , C Lecoutre-Chabot , J Hegseth , Vadim Nikolayev , D Beysens , J. -P Delville

Non-hydrostatic stress has a peculiar effect on the phase equilibrium between solids and liquids. This was already pointed out by Gibbs. Gibbs derived his formulation of the condition for liquid-solid coexistence applying a surface…

材料科学 · 物理学 2024-04-16 Michiel Sprik

We study the case of contact angle hysteresis, when a solid defect is quasi-statically pulled out and pushed into a liquid, in the presence of gravity. We solve the problem analytically in an approximation which, in the case of a truncated…

凝聚态物理 · 物理学 2007-05-23 Jorgen Vitting Andersen , Henrik Jeldtoft Jensen