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Using coarse grained models we investigate the behavior of water adjacent to an extended hydrophobic surface peppered with various fractions of hydrophilic patches of different sizes. We study the spatial dependence of the mean interface…

Statistical Mechanics · Physics 2014-09-09 Adam P. Willard , David Chandler

The Kardar-Parisi-Zhang (KPZ) equation is accepted as a generic description of interfacial growth. In several recent studies, however, values of the roughness exponent alpha have been reported that are significantly less than that…

Statistical Mechanics · Physics 2016-08-31 R. A. Blythe , M. R. Evans

We show that the equilibrium interfaces in the disordered phase have critical percolation fractal dimension over a wide range of length scales. We confirm that the system falls out of equilibrium at a temperature that depends on the cooling…

Statistical Mechanics · Physics 2018-01-17 Hugo Ricateau , Leticia F. Cugliandolo , Marco Picco

We study the non-steady relaxation of a driven one-dimensional elastic interface at the depinning transition by extensive numerical simulations concurrently implemented on graphics processing units (GPUs). We compute the time-dependent…

Statistical Mechanics · Physics 2013-06-03 Ezequiel E. Ferrero , Sebastián Bustingorry , Alejandro B. Kolton

In earlier work \cite{bedeaux/vdW/I, bedeaux/vdW/II, bedeaux/vdW/III} a systematic extension of the van der Waals square gradient model to non-equilibrium one-component systems was given. In this work the focus was on heat and mass transfer…

Soft Condensed Matter · Physics 2007-11-08 K. S. Glavatskiy , D. Bedeaux

The analysis of wave patterns in a structure which possesses periodicity in the spatial and temporal dimensions is presented. The topic of imperfect chiral interfaces is also considered. Although causality is fundamental for physical…

Analysis of PDEs · Mathematics 2022-08-10 A. B. Movchan , N. V. Movchan , I. S. Jones , G. W. Milton , H. -M. Nguyen

The properties of the coexisting bulk gas and liquid phases of a polydisperse fluid depend not only on the prevailing temperature, but also on the overall parent density. As a result, a polydisperse fluid near a wall will exhibit…

Statistical Mechanics · Physics 2009-11-11 Matteo Buzzacchi , Nigel B. Wilding , Peter Sollich

The motion of a gas-liquid interface along a solid wall is influenced by the capillary forces resulting from the interface's shape and its interaction with the solid, where it forms a dynamic contact angle. Capillary models play a…

The wetting transition of the Blume-Capel model is studied by a finite-size scaling analysis of $L \times M$ lattices where competing boundary fields $\pm H_1$ act on the first row or last row of the $L$ rows in the strip, respectively. We…

Statistical Mechanics · Physics 2015-06-11 Ezequiel V. Albano , Kurt Binder

It is well known that, at a macroscopic level, the boundary condition for a viscous fluid at a solid wall is one of "no-slip". The liquid velocity field vanishes at a fixed solid boundary. In this paper, we consider the special case of a…

Soft Condensed Matter · Physics 2015-06-25 Jean-Louis Barrat , Lydéric Bocquet

We study the scaling properties of a one-dimensional interface at equilibrium, at finite temperature and in a disordered environment with a finite disorder correlation length. We focus our approach on the scalings of its geometrical…

Statistical Mechanics · Physics 2017-03-01 Elisabeth Agoritsas , Vivien Lecomte

We study the effect of a uniform shear flow on an interface separating the two broken-symmetry ordered phases of a two-dimensional system with nonconserved scalar order parameter. The interface, initially flat and perpendicular to the flow,…

Statistical Mechanics · Physics 2009-10-31 Rui D. M. Travasso , Alan J. Bray , Andrea Cavagna

When two immiscible liquids that coexist inside a porous medium are drained through an opening, a complex flow takes place in which the interface between the liquids moves, tilts and bends. The interface profiles depend on the physical…

Fluid Dynamics · Physics 2010-01-14 Alejandro David Mariotti , Elena Brandaleze , Gustavo C. Buscaglia

Active fluids and growing interfaces are two well-studied but very different non-equilibrium systems. Each exhibits non-equilibrium behavior quite different from that of their equilibrium counterparts. Here we demonstrate a surprising…

Soft Condensed Matter · Physics 2016-08-09 Leiming Chen , Chiu Fan Lee , John Toner

The motion of an air-fluid interface through an irregularly coated capillary is studied by analysing the Lucas-Washburn equation with a random capillary force. The pinning probability goes from zero to a maximum value, as the interface…

Fluid Dynamics · Physics 2009-11-13 Fabiana Diotallevi , Andrea Puglisi , Antonio Lamura , Sauro Succi

So far the problem of interface behavior upon phase transition has not yet acquired a satisfactory mathematical formulation due to a variety of the physical phenomena involved. Analytical solutions exist only for elementary problems…

Statistical Mechanics · Physics 2011-08-12 Alex Guskov

Predicting the future behaviour of complex systems exhibiting critical-like dynamics is often considered to be an intrinsically hard task. Here, we study the predictability of the depinning dynamics of elastic interfaces in random media…

Statistical Mechanics · Physics 2026-02-03 Valtteri Haavisto , Marcin Mińkowski , Lasse Laurson

Symmetries represent a fundamental constraint for physical systems and relevant new phenomena often emerge as a consequence of their breaking. An important example is provided by space- and time-translational invariance in statistical…

Statistical Mechanics · Physics 2012-12-21 Matteo Marcuzzi , Andrea Gambassi , Michel Pleimling

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 revisit here the problem of the collective non-equilibrium dynamics of a classical statistical system at a critical point and in the presence of surfaces. The effects of breaking separately space- and time-translational invariance are…

Statistical Mechanics · Physics 2014-11-24 Matteo Marcuzzi , Andrea Gambassi