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We investigate the depinning transition for driven interfaces in the random-field Ising model for various dimensions. We consider the order parameter as a function of the control parameter (driving field) and examine the effect of thermal…

Statistical Mechanics · Physics 2009-11-07 L. Roters , S. Lubeck , K. D. Usadel

We consider the dynamics and kinetic roughening of wetting fronts in the case of forced wetting driven by a constant mass flux into a 2D disordered medium. We employ a coarse-grained phase field model with local conservation of density,…

Disordered Systems and Neural Networks · Physics 2009-11-11 T. Laurila , C. Tong , I. Huopaniemi , S. Majaniemi , T. Ala-Nissila

The irreversible growth of a binary mixture under far-from-equilibrium conditions is studied in three-dimensional confined geometries of size $L_x \times L_y \times L_z$, where $L_z \gg L_x = L_y$ is the growing direction. A competing…

Statistical Mechanics · Physics 2009-11-11 Julián Candia , Ezequiel V. Albano

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 investigate the interaction between an infinite cylinder and a free fluid-fluid interface governed only by its surface tension. We study the deformation of an initially flat interface when it is deformed by the presence of a cylindrical…

Soft Condensed Matter · Physics 2012-08-15 Christophe Raufaste , Geoffroy Kirstetter , Franck Celestini , Simon Cox

The roughness of crack interfaces is reported in quasistatic fracture, using an elastic network of beams with random breaking thresholds. For strong disorders we obtain 0.86(3) for the roughness exponent, a result which is very different…

Condensed Matter · Physics 2009-10-31 Bjorn Skjetne , Torbjorn Helle , Alex Hansen

Van der Waals heterogeneous interfaces are promising candidates for the scaling up of structural superlubricity to meet practical applications. Several factors, however, have been identified that may eliminate superlubricity. Elasticity is…

Mesoscale and Nanoscale Physics · Physics 2024-11-08 Xiang Gao , Weidong Yan , Wengen Ouyang , Ze Liu , Michael Urbakh , Oded Hod

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

We propose a non-local interfacial model for 3D short-range wetting at planar and non-planar walls. The model is characterized by a binding potential \emph{functional} depending only on the bulk Ornstein-Zernike correlation function, which…

Statistical Mechanics · Physics 2009-11-10 A. O. Parry , J. M. Romero-Enrique , A. Lazarides

We compute properties of the interface of the 3-dimensional Ising model for a wide range of temperatures, covering the whole region from the low temperature domain through the roughening transition to the bulk critical point. The interface…

High Energy Physics - Lattice · Physics 2009-10-22 Martin Hasenbusch , Klaus Pinn

Dynamical roughening of interfaces has received much attention in recent years. However, experiments have been restricted to one dimensional (1d) systems. Moreover, theoretical studies of the two dimensional (2d) case have been highly…

Data Analysis, Statistics and Probability · Physics 2012-04-12 C. M. Aegerter , R. Gunther , R. J. Wijngaarden

We consider a model for the evolution of an interface in a heterogeneous environment governed by a parabolic equation. The heterogeneity is introduced as obstacles exerting a localized dry friction. Our main result establishes the emergence…

Analysis of PDEs · Mathematics 2019-09-12 Luca Courte , Patrick Dondl , Ulisse Stefanelli

Engineering wear models are generally empirical and lack connections to the physical processes of debris generation at the nanoscale to microscale. Here, we thus analyze wear particle formation for sliding interfaces in dry contact with…

Materials Science · Physics 2019-05-15 Tobias Brink , Jean-François Molinari

We study the forced fluid invasion of an air-filled model porous medium at constant flow rate, in 1+1 dimensions, both experimentally and theoretically. We focus on the non-local character of the interface dynamics, due to liquid…

Condensed Matter · Physics 2009-11-07 A. Hernandez-Machado , J. Soriano , A. M. Lacasta , M. A. Rodriguez , L. Ramirez-Piscina , J. Ortin

We study the pinning of a two-dimensional membrane to a patterned substrate within elastic theory both in the bending rigidity and in the strain dominated regimes. We find that both the in-plane strains and the bending rigidity can lead to…

Materials Science · Physics 2011-04-19 S. Viola Kusminskiy , D. K. Campbell , A. H. Castro Neto , F. Guinea

The membrane model is a Gaussian interface model with a Hamiltonian involving second derivatives of the interface height. We consider the model in dimension $\mathsf{d}\ge4$ under the influence of $\delta$-pinning of strength $\varepsilon$.…

Probability · Mathematics 2022-03-09 Florian Schweiger

Fluids adsorbed in 3D wedges are shown to exhibit two types of continuous interfacial unbinding corresponding to critical and tricritical filling respectively. Analytic solution of an effective interfacial model based on the transfer-matrix…

Statistical Mechanics · Physics 2009-11-11 J. M. Romero-Enrique , A. O. Parry

We study a Langevin equation describing non-equilibrium depinning and wetting transitions. Attention is focused on short-ranged attractive substrate-interface potentials. We confirm the existence of first order depinning transitions, in the…

Condensed Matter · Physics 2009-11-07 F. de los Santos , M. M. Telo da Gama , Miguel A. Munoz

Competing pinning effects on a D-dimensional interface by weak impurity disorder and a periodic potential of the underlying crystal lattice are analyzed for $2<D<4$. We use both the Gaussian variational method (GVM) and the functional…

Statistical Mechanics · Physics 2007-05-23 Uwe Müssel

We show that continuous filling or wedge-wetting transitions are possible in 3D wedge-geometries made from (angled) substrates exhibiting first-order wetting transitions and develop a comprehensive fluctuation theory yielding a complete…

Condensed Matter · Physics 2009-10-31 A. O. Parry , C. Rascon , A. J. Wood