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The dilatancy angle describes the propensity of a granular medium to dilate under an applied shear. Using a simple spin model (the ``tetris'' model) which accounts for geometrical ``frustration'' effects, we study such a dilatancy angle as…

Statistical Mechanics · Physics 2009-10-31 M. Piccioni , V. Loreto , S. Roux

A lattice system of interacting temperature loops, which is used in the Euclidean approach to describe equilibrium thermodynamic properties of an infinite system of interacting quantum particles performing anharmonic oscillations (quantum…

Mathematical Physics · Physics 2007-05-23 Yuri Kozitsky , Tatiana Pasurek

Evaporation of water droplets deposited on metal and polymer substrates was studied. The evaporated droplet demonstrates different behaviors on low-pinning (polymer) and strong-pinning (metallic) surfaces. When deposited on polymer…

Chemical Physics · Physics 2011-02-23 Edward Bormashenko , Albina Musin , Michael Zinigrad

We report on the elastocapillary deformation of flexible microfibers in contact with liquid droplets. A fiber is observed to bend more as the size of the contacting droplet is increased. At a critical droplet size, proportional to the…

We comment further on the behaviour of a heat conducting fluid when a characteristic parameter of the system approaches a critical value.

General Relativity and Quantum Cosmology · Physics 2009-10-30 L. Herrera , J. Martinez

We revisit the scaling properties of a model for non-equilibrium wetting [Phys. Rev. Lett. 79, 2710 (1997)], correcting previous estimates of the critical exponents and providing a complete scaling scheme. Moreover, we investigate a special…

Statistical Mechanics · Physics 2008-01-09 A. C. Barato , H. Hinrichsen , M. J. de Oliveira

We present a theoretical study of the statics and dynamics of a partially wetting liquid droplet, of equilibrium contact angle $\theta_{\rm e}$, confined in a solid wedge geometry of opening angle $\beta$. We focus on a mostly non-wetting…

Soft Condensed Matter · Physics 2018-04-04 Élfego Ruiz-Gutiérrez , Ciro Semprebon , Glen McHale , Rodrigo Ledesma-Aguilar

Controlling the spatial distribution of liquid droplets on surfaces via surface energy patterning can be used to control material delivery to specified regions via selective liquid/solid wetting. While studies of the equilibrium shape of…

Soft Condensed Matter · Physics 2007-05-23 Gary S. Grest , David R. Heine , Edmund B. Webb

We discuss an evaporation-induced wetting transition on superhydrophobic stripes, and show that depending on the elastic energy of the deformed contact line, which determines the value of an instantaneous effective contact angle, two…

Soft Condensed Matter · Physics 2015-06-24 Alexander L. Dubov , Ahmed Mourran , Martin Möller , Olga I. Vinogradova

We theoretically study the behaviour of a liquid bridge formed between a pair of rigid and parallel plates. The plates are smooth, they may either be homogeneous or decorated by circular patches of more hydrophilic domains, and they are…

Soft Condensed Matter · Physics 2010-11-09 Halim Kusumaatmaja , Reinhard Lipowsky

A thermodynamic measure of the fragility of liquids has recently (Ito et al ref.1) been defined in terms of the temperature dependence of the excess entropy of liquid over crystal, scaled by the excess entropy at the glass transition…

Disordered Systems and Neural Networks · Physics 2007-05-23 L. -M. Martinez , C. A. Angell

The analytical expressions of liquid-vapor macroscopic contact angles are analyzed for various simple geometries and arrangements of the substrate, in particular when the latter exhibits two or more scales. It concerns the Wenzel state of…

Soft Condensed Matter · Physics 2021-03-17 J. De Coninck , F. Dunlop , T. Huillet

It is common belief that the equilibrium contact angle, corresponding to the minimum system energy state, lies between advancing and receding contact angles. Here, we derive advancing and receding contact angles considering the micro…

The line tension of an electrolyte wetting a non-polar substrate is computed analytically and numerically. The results show that, depending on the value of the apparent contact angle, positive or negative line tension values may be…

Chemical Physics · Physics 2014-11-06 Aaron Dörr , Steffen Hardt

Wetting flows are controlled by the contact line motion. We derive an equation that describes the slow time evolution of the triple solid-liquid-fluid contact line for an arbitrary distribution of defects on a solid surface. The capillary…

Fluid Dynamics · Physics 2016-01-26 Vadim Nikolayev , D. Beysens

The idea of contact angle was generalized by using the principle of minimum total energy. The problems of the shape of the two-dimensional sessile drop and the drop on an inclined surface are considered. The differential equations…

Fluid Dynamics · Physics 2007-05-23 Y. I. Frenkel

The relaxation dynamics of the contact angle between a viscous liquid and a smooth substrate is studied at the nanoscale. Through atomic force microscopy measurements of polystyrene nanostripes we monitor simultaneously the temporal…

Soft Condensed Matter · Physics 2015-12-03 Marco Rivetti , Thomas Salez , Michael Benzaquen , Elie Raphaël , Oliver Bäumchen

With their origin in thermodynamics and symbolic dynamics, Gibbs measures are crucial tools to study the ergodic theory of the geodesic flow on negatively curved manifolds. We develop a framework (through Patterson-Sullivan densities)…

Dynamical Systems · Mathematics 2013-11-13 Frédéric Paulin , Mark Pollicott , Barbara Schapira

The dynamics of evaporation of wetting droplets has been investigated experimentally in an extended range of drop sizes, in order to provide trends relevant for a theoretical analysis. A model is proposed, which generalises Tanner's law,…

Soft Condensed Matter · Physics 2016-08-16 Christophe Poulard , Geoffroy Guéna , Anne-Marie Cazabat , A. Boudaoud , M. Ben Amar

Depending on the contact line motion, colloid-rich drolets evaporation can leave a ring-like or a spot-like residue. Herein, we determine this outcome by controlling the contact line motion using coplanar direct current…

Fluid Dynamics · Physics 2019-05-16 Wei Wang , Qi Wang , Kaidi Zhang , Xubo Wang , Antoine Riaud , Jia Zhou
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