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The steady state properties of an interface in a stationary Couette flow are addressed within the framework of fluctuating hydrodynamics. Our study reveals that thermal fluctuations are driven out of equilibrium by an effective shear rate…

Soft Condensed Matter · Physics 2010-04-26 Marine Thiébaud , Thomas Bickel

We propose a method to describe the short-distance behavior of an interface fluctuating in the presence of the wedge-shaped substrate near the critical filling transition. Two different length scales determined by the average height of the…

Statistical Mechanics · Physics 2009-10-31 A. Bednorz , M. Napiorkowski

The theory of interface localization in near-critical planar systems at phase coexistence is formulated from first principles. We show that mutual delocalization of two interfaces, amounting to interfacial wetting, occurs when the bulk…

Statistical Mechanics · Physics 2016-05-13 Gesualdo Delfino

We address three problems faced by effective interfacial Hamiltonian models of wetting based on a single collective coordinate \ell representing the position of the unbinding fluid interface. Problems (P1) and (P2) refer to the predictions…

Soft Condensed Matter · Physics 2015-06-25 A. O. Parry , P. S. Swain

An overview of recent studies of nonequilibrium bound interfaces is given. Attention is focused on Kardar-Parisi-Zhang interfaces in the presence of upper and lower walls, interacting via short-- and long--ranged potentials. A comparison…

Statistical Mechanics · Physics 2007-05-23 F. de los Santos , M. M. Telo da Gama

Depinning of an interface from a random self--affine substrate with roughness exponent $\zeta_S$ is studied in systems with short--range interactions. In 2$D$ transfer matrix results show that for $\zeta_S<1/2$ depinning falls in the…

Condensed Matter · Physics 2009-10-28 G. Giugliarelli , A. L. Stella

Recent studies of wetting in a two-component square-gradient model of interfaces in a fluid mixture, showing three-phase bulk coexistence, have revealed some highly surprising features. Numerical results show that the density profile paths,…

Statistical Mechanics · Physics 2024-11-13 Andrew O. Parry , C. Rascón

We present numerical studies of wetting on various topographic substrates, including random topographies. We find good agreement with recent predictions based on an analytical interface-displacement-type theory \cite{Herminghaus2012,…

Fluid Dynamics · Physics 2016-03-23 Renaud Dufour , Ciro Semprebon , Stephan Herminghaus

We introduce a new kinetic interface model suitable for simulating adsorption-reaction processes which take place preferentially at surface defects such as steps and vacancies. As the average interface velocity is taken to zero, the self-…

Statistical Mechanics · Physics 2009-10-31 H. Kaya , A. Kabakcioglu , A. Erzan

It is shown that the critical properties of a recently studied model for non-equilibrium wetting are robust if one extends the dynamic rules by single-particle diffusion on terraces of the wetting layer. Examining the behavior at the…

Statistical Mechanics · Physics 2016-08-16 S. Rössner , H. Hinrichsen

Interfaces advancing through random media represent a number of different problems in physics, biology and other disciplines. Here, we study the pinning/depinning transition of the prototypical non-equilibrium interfacial model, i.e. the…

Statistical Mechanics · Physics 2016-08-10 Belén Moglia , Ezequiel V. Albano , Pablo Villegas , Miguel A. Muñoz

The growth of stochastic interfaces in the vicinity of a boundary and the non-trivial crossover towards the behaviour deep in the bulk is analysed. The causal interactions of the interface with the boundary lead to a roughness larger near…

Statistical Mechanics · Physics 2014-10-16 Nicolas Allegra , Jean-Yves Fortin , Malte Henkel

We have simulated an automaton version of the quenched Kardar-Parisi-Zhang (qKPZ) equation in one and two dimensions in order to study the scaling properties of the interface at the depinning transition. Specifically, the $\alpha$, $\beta$,…

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 study effects of turbulent mixing on the random growth of an interface in the problem of the deposition of a substance on a substrate. The growth is modelled by the well-known Kardar--Parisi--Zhang model. The turbulent advecting velocity…

Statistical Mechanics · Physics 2015-11-06 N. V. Antonov , P. I. Kakin

We study the tilt dependence of the pinning-depinning transition for an interface described by the anisotropic quenched Kardar-Parisi-Zhang equation in 2+1 dimensions, where the two signs of the nonlinear terms are different from each…

Statistical Mechanics · Physics 2009-10-31 K. -I. Goh , H. Jeong , B. Kahng , D. Kim

We consider three-dimensional statistical systems at phase coexistence in the half-volume with boundary conditions leading to the presence of an interface. Working slightly below the critical temperature, where universal properties emerge,…

Statistical Mechanics · Physics 2021-04-22 Gesualdo Delfino , Marianna Sorba , Alessio Squarcini

Previous treatments of three-dimensional (3D) short-ranged wetting transitions have missed an entropic or low temperature Casimir contribution to the binding potential describing the interaction between the unbinding interface and wall.…

Statistical Mechanics · Physics 2022-05-25 Alessio Squarcini , José M. Romero-Enrique , Andrew O. Parry

We study phase behaviour of a model fluid confined between two unlike parallel walls in the presence of long range (dispersion) forces. Predictions obtained from macroscopic (geometric) and mesoscopic arguments are compared with numerical…

Statistical Mechanics · Physics 2016-03-15 Alexandr Malijevský

The global phase diagram of wetting in the two-dimensional (2d) Ising model is obtained through exact calculation of the surface excess free energy. Besides a surface field for inducing wetting, a surface-coupling enhancement is included.…

Statistical Mechanics · Physics 2016-02-03 X. T. Wu , D. B. Abraham , J. O. Indekeu