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We consider the scaling limit of a generic ferromagnetic system with a continuous phase transition, on the half plane with boundary conditions leading to the equilibrium of two different phases below criticality. We use general properties…

Statistical Mechanics · Physics 2014-10-09 Gesualdo Delfino , Alessio Squarcini

A simple two dimensional model of a phase growing on a substrate is introduced. The model is characterized by an adsorption rate q, and a desorption rate p. It exhibits a wetting transition which may be viewed as an unbinding transition of…

Statistical Mechanics · Physics 2009-10-30 Haye Hinrichsen , Roberto Livi , David Mukamel , Antonio Politi

Direct Numerical Simulations of two superposed fluids in a channel with a textured surface on the lower wall have been carried out. A parametric study varying the viscosity ratio between the two fluids has been performed to mimic both {\bf…

Fluid Dynamics · Physics 2019-05-22 I. Arenas , E. Garcia , M. K. Fu , P. Orlandi , M. Hultmark , S. Leonardi

We consider two-dimensional ($d=2$) systems with short-ranged microscopic interactions, where interface unbinding (wetting) transitions occur in the limit of vanishing temperature $T$. For $T=0$ the transition is characterized by…

Statistical Mechanics · Physics 2015-06-23 Pawel Jakubczyk , Marek Napiórkowski , Federico Benitez

In this article, we generalize Wenzel law, which assigns an effective contact angle for a droplet on a rough substrate, when the wetting layer has an ordered phase, like a nematic. We estimate the conditions for which the wetting behavior…

Other Condensed Matter · Physics 2007-06-24 Chi-Tuong Pham , Pedro Patrício , Jose Manuel Romero-Enrique

Conventional wetting theories on rough surfaces with Wenzel, Cassie-Baxter, and Penetrate modes suggest the possibility of tuning the contact angle by adjusting the surface texture. Despite decades of intensive study, there are still many…

Fluid Dynamics · Physics 2018-05-08 Donggyu Kim , Nicola M. Pugno , Seunghwa Ryu

A partially miscible binary liquid mixture, composed of A and B particles, is considered theoretically under conditions for which a stable A-rich liquid phase is in thermal equilibrium with the vapor phase. The B-rich liquid is metastable.…

Soft Condensed Matter · Physics 2021-04-28 Hyojeong Kim , Lothar Schimmele , S. Dietrich

We investigate critical wetting transitions for fluids adsorbed in wedge-like geometries where the substrate height varies as a power-law, $z(x,y) \sim |x| ^\gamma$, in one direction. As $\gamma$ is increased from 0 to 1, the substrate…

Soft Condensed Matter · Physics 2009-11-07 A. Sartori , A. O. Parry

We consider a simple fluid confined between two parallel walls (substrates), separated by a distance L. The walls exert competing surface fields so that one wall is attractive and may be completely wet by liquid (it is solvophilic) while…

Soft Condensed Matter · Physics 2014-09-01 Maria C. Stewart , Robert Evans

The results of Monte Carlo simulation of adsorption and wetting behaviour of a highly non-additive symmetric mixture at selective walls is discussed. We have concentrated on the interplay between the surface induced demixing in the adsorbed…

Soft Condensed Matter · Physics 2018-06-27 A. Patrykiejew

When a solid plate is withdrawn from a partially wetting liquid, a liquid layer dewets the moving substrate. High-speed imaging reveals alternating thin and thick regions in the entrained layer in the transverse direction at steady state.…

Fluid Dynamics · Physics 2020-11-18 Mengfei He

Homogenization of a simultaneous heat and moisture flow in a masonry wall is presented in this paper. The principle objective is to examine an impact of the assumed imperfect hydraulic contact on the resulting homogenized properties. Such a…

Computational Engineering, Finance, and Science · Computer Science 2014-02-14 Jan Sýkora , Michal Šejnoha , Jiří Šejnoha

he contact angle of a liquid droplet on a surface under partial wetting conditions differs for a nanoscopically rough or periodically corrugated surface from its value for a perfectly flat surface. Wenzel's relation attributes this…

Soft Condensed Matter · Physics 2020-06-24 Sergei A. Egorov , Kurt Binder

We consider fluid wetting on a corrugated substrate using effective interfacial Hamiltonian theory and show that breaking the translational invariance along the wall can induce an 'unbending' phase transition in addition to unbinding. Both…

Soft Condensed Matter · Physics 2009-10-31 C. Rascon , A. O. Parry , A. Sartori

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…

Fluid Dynamics · Physics 2016-01-27 Y Garrabos , C Lecoutre-Chabot , J Hegseth , Vadim Nikolayev , D Beysens , J. -P Delville

A liquid in contact with a textured surface can be found in two states, Wenzel and Cassie. In the Wenzel state the liquid completely wets the corrugations while in the Cassie state the liquid is suspended over the corrugations with air or…

Statistical Mechanics · Physics 2018-10-05 Matteo Amabili , Simone Meloni , Alberto Giacomello , Carlo Massimo Casciola

We consider an interface above an attractive hard wall in the complete wetting regime, and submitted to the action of an external increasing, convex potential, and study its delocalization as the intensity of this potential vanishes. Our…

Probability · Mathematics 2011-08-25 Yvan Velenik

Consider the Ising model at low-temperatures and positive external field $\lambda$ on an $N\times N$ box with Dobrushin boundary conditions that are plus on the north, east, and west boundaries and minus on the south boundary. If $\lambda =…

Probability · Mathematics 2021-02-03 Shirshendu Ganguly , Reza Gheissari

We present a theoretical study of the intrusion of an ambient liquid into pores of a nano-corrugated wall w. The pores are prefilled with a liquid lubricant which adheres to the walls of the pores more strongly than the ambient liquid. The…

Soft Condensed Matter · Physics 2021-11-23 Swarn Lata Singh , Lothar Schimmele , S. Dietrich

The shape of a liquid-air interface advancing on a heterogeneous surface was studied experimentally, together with the force induced by the pinning of the contact line to surface defects. Different surfaces were considered with circular…

Materials Science · Physics 2022-03-22 Solomon S. Melides , Dominic Vella , Marco Ramaioli