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We study the solid-on-solid interface model above a horizontal wall in three dimensional space, with an attractive interaction when the interface is in contact with the wall, at low temperatures. The system presents a sequence of layering…

Statistical Mechanics · Physics 2012-06-06 Salvador Miracle-Sole

We study the solid-on-solid interface model above a horizontal wall in three dimensional space, with an attractive interaction when the interface is in contact with the wall, at low temperatures. There is no bulk external field. The system…

Mathematical Physics · Physics 2010-03-30 Kenneth S. Alexander , François Dunlop , Salvador Miracle-Solé

A wetting transition occurs when the contact angle of a liquid drop on a surface changes from a nonzero value to zero. Such a transition has never been observed for water on any solid surface. This paper discusses the value of the…

Materials Science · Physics 2007-05-23 S. M. Gatica , J. K. Johnson , X. C. Zhao , M. W. Cole

We present a theoretical study of wetting phenomena and interactions between liquid-vapor interfaces based on the density functional theory. The focus is mostly on the impact of long-range van der Waals interactions both within the fluid…

Chemical Physics · Physics 2011-11-10 Arik Yochelis , Len M. Pismen

The wetting transition is studied in the McCoy-Wu Ising model in which the random bonds are perfectly correlated in the direction parallel to the walls . The model is solved numerically on finite size lattices up to $200 \times 200^2$. It…

Statistical Mechanics · Physics 2020-07-15 Xintian Wu

Wetting transitions have been predicted and observed to occur for various combinations of fluids and surfaces. This paper describes the origin of such transitions, for liquid films on solid surfaces, in terms of the gas-surface interaction…

Materials Science · Physics 2015-05-13 Silvina M. Gatica , Milton W. Cole

We provide a complete description of the low temperature wetting transition for the two dimensional Solid-On-Solid model. More precisely we study the integer-valued field $(\phi(x))_{x\in \mathbb Z^2}$, associated associated to the energy…

Mathematical Physics · Physics 2018-07-04 Hubert Lacoin

Consider a droplet of liquid on top of a grooved substrate. The wetting or not of a groove implies the crossing of a potential barrier as the interface has to distort, to hit the bottom of the groove. We start with computing the free…

Statistical Mechanics · Physics 2015-05-27 Joel De Coninck , François Dunlop , Thierry Huillet

We consider the Solid-On-Solid model interacting with a wall, which is the statistical mechanics model associated with the integer-valued field $(\phi(x))_{x\in \mathbb Z^2}$, and the energy functional $$V(\phi)=\beta \sum_{x\sim…

Mathematical Physics · Physics 2017-12-19 Hubert Lacoin

We have carried out extensive equilibrium molecular dynamics (MD) simulations to study the structure and the interfacial properties in the liquid-vapor (LV) phase coexistence of partially miscible binary Lennard-Jones (LJ) mixtures. By…

Soft Condensed Matter · Physics 2009-11-10 Enrique Díaz-Herrera , José A. Moreno-Razo , Guillermo Ramírez-Santiago

We study non-equilibrium analogues of surface phase transitions in a minimal model of active particles in contact with a purely repulsive potential barrier that mimics a thin porous membrane. Under conditions of bulk motility-induced phase…

Statistical Mechanics · Physics 2021-12-15 Francesco Turci , Nigel B. Wilding

Within mean-field theory we study wetting of elastic substrates. Our analysis is based on a grand canonical free energy functional of the fluid number density and of the substrate displacement field. The substrate is described in terms of…

Soft Condensed Matter · Physics 2019-11-06 M. Napiórkowski , L. Schimmele , S. Dietrich

We report a theoretical and simulation study of the drying and wetting phase transitions of a truncated Lennard-Jones fluid at a flat structureless wall. Binding potential calculations predict that the nature of these transitions depends on…

Statistical Mechanics · Physics 2017-09-13 Robert Evans , Maria C. Stewart , Nigel B. Wilding

We study the wetting model, which considers a random walk constrained to remain above a hard wall, but with additional pinning potential for each contact with the wall. This model is known to exhibit a wetting phase transition, from a…

Probability · Mathematics 2023-09-19 Quentin Berger , Brune Massoulié

We consider a nano-patterned planar wall consisting of a periodic array of stripes of width $L$, which are completely wet by liquid (contact angle $\theta=0$), separated by regions of width $D$ which are completely dry (contact angle…

Statistical Mechanics · Physics 2019-10-02 Martin Pospisil , Martin Láska , Andrew O. Parry , Alexandr Malijevský

A lattice model for active matter is studied numerically, showing that it displays wettings transitions between three distinctive phases when in contact with an impenetrable wall. The particles in the model move persistently, tumbling with…

Soft Condensed Matter · Physics 2017-09-13 Néstor Sepúlveda , Rodrigo Soto

We study complete wetting of solid walls that are patterned by parallel nanogrooves of depth $D$ and width $L$ with a periodicity of $2L$. The wall is formed of a material which interacts with the fluid via a long-range potential and…

Statistical Mechanics · Physics 2019-05-01 Alexandr Malijevský

We consider random walks X_n in Z+, obeying a detailed balance condition, with a weak drift towards the origin when X_n tends to infinity. We reconsider the equivalence in law between a random walk bridge and a 1+1 dimensional…

Probability · Mathematics 2015-05-13 Joel De Coninck , Francois Dunlop , Thierry Huillet

Recent work on the complete wetting transition has emphasized the role played by the coupling of fluctuations of the order parameter at the wall and at the depinning fluid interface. Extending this approach to the wetting transition itself…

Soft Condensed Matter · Physics 2009-10-28 A. O. Parry , C. J. Boulter , P. S. Swain

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
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