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We study the microscopic structure and the stationary propagation velocity of (1+1)-dimensional solid-on-solid interfaces in an Ising lattice-gas model, which are driven far from equilibrium by an applied force, such as a magnetic field or…

Materials Science · Physics 2007-05-23 G. M. Buendia , P. A. Rikvold , M. Kolesik

We use a lattice gas cellular automata model in the presence of random dynamic scattering sites and quenched disorder in the two-phase immiscible model with the aim of producing an interface dynamics similar to that observed in Hele-Shaw…

Fluid Dynamics · Physics 2015-08-06 R. M. Azevedo , R. R. Montenegro-Filho , M. D. Coutinho-Filho

We present an exact solution to an interface model representing the dynamics of a domain wall in a two-phase Ising system. The model is microscopically motivated, yet we find that in the scaling regime our results are consistent with those…

Condensed Matter · Physics 2016-08-14 D. B. Abraham , T. J. Newman , G. M. Schütz

We examine the linear stability of fluid interfaces subjected to a shear flow. Our main object is to generalize previous work to arbitrary Atwood number, and to allow for surface tension and weak compressibility. The motivation derives from…

Astrophysics · Physics 2007-05-23 A. Alexakis , Y. Young , R. Rosner

The coarsening process in a class of driven systems exhibiting striped structures is studied. The dynamics is governed by the motion of the driven interfaces between the stripes. When two interfaces meet they coalesce thus giving rise to a…

Statistical Mechanics · Physics 2009-10-31 M. R. Evans , Y. Kafri , E. Levine , D. Mukamel

Using Monte Carlo simulations we study the dynamics of three-dimensional Ising models with nearest-, next-nearest-, and four-spin (plaquette) interactions. During coarsening, such models develop growing energy barriers, which leads to very…

Statistical Mechanics · Physics 2009-10-31 A. Lipowski , D. Johnston , D. Espriu

The propagation of damage in a confined magnetic Ising film, with short range competing magnetic fields ($h$) acting at opposite walls, is studied by means of Monte Carlo simulations. Due to the presence of the fields, the film undergoes a…

Statistical Mechanics · Physics 2009-11-13 M. Leticia Rubio Puzzo , Ezequiel V. Albano

The dynamics of a rigid particle above a fluid-fluid interface in shear flow is studied here numerically and analytically as a function of the downward force applied on the particle. It is found here that the particle goes below the…

Soft Condensed Matter · Physics 2025-08-04 Alexander Farutin

We provide a framework to study the interfaces imposed by Dobrushin boundary conditions on the half-plane version of the Ising model on random triangulations with spins on vertices. Using the combinatorial solution by Albenque, M\'enard and…

Mathematical Physics · Physics 2020-06-02 Joonas Turunen

We present theoretical and dynamic Monte Carlo simulation results for the mobility and microscopic structure of 1+1-dimensional Ising interfaces moving far from equilibrium in an applied field under a single-spin-flip ``soft'' stochastic…

Statistical Mechanics · Physics 2009-11-10 Per Arne Rikvold , M. Kolesik

The steady state structure of an interface in an Ising system on a square lattice placed in a {\em non-uniform} external field, shows a commensurate -incommensurate transition driven by the velocity of the interface. The non-uniform field…

Statistical Mechanics · Physics 2007-07-17 Abhishek Chaudhuri , P. A. Sreeram , Surajit Sengupta

We study the roughening of interfaces in phase-separated active suspensions on substrates. At both large length and timescales, we show that the interfacial dynamics belongs to the |q|KPZ universality class discussed in Besse et al. Phys.…

Soft Condensed Matter · Physics 2025-03-25 Fernando Caballero , Ananyo Maitra , Cesare Nardini

In a recent paper [Phys. Rev. Lett. 129, 120601] we have shown that the dynamics of interfaces, in the symmetry-broken phase of the two-dimensional ferromagnetic quantum Ising model, displays a robust form of ergodicity breaking. In this…

Statistical Mechanics · Physics 2023-01-24 Federico Balducci , Andrea Gambassi , Alessio Lerose , Antonello Scardicchio , Carlo Vanoni

Critical wetting is of crucial importance for the phase behaviour of a simple fluid or Ising magnet confined between walls that exert opposing surface fields so that one wall favours liquid (spin up), while the other favours gas (spin…

Statistical Mechanics · Physics 2024-01-01 D. B. Abraham , A. Maciolek , A. Squarcini

We study the topology of fluid interfaces in the 3D Ising model in the rough phase. It turns out that such interfaces are accurately described as dilute gases of microscopic handles, and the stiffness of the interface increases with the…

Condensed Matter · Physics 2015-06-25 M. Caselle , F. Gliozzi , U. Magnea

We discuss the nonlinear dynamics and fluctuations of interfaces with bending rigidity under the competing attractions of two walls with arbitrary permeabilities. This system mimics the dynamics of confined membranes. We use a two-dimension…

Soft Condensed Matter · Physics 2015-09-02 Thomas Le Goff , Paolo Politi , Olivier Pierre-Louis

The propagation and roughening of a liquid-gas interface moving through a disordered medium under the influence of capillary forces is considered. The system is described by a phase-field model with conserved dynamics and spatial disorder…

Statistical Mechanics · Physics 2009-10-31 M. Dube , M. Rost , K. Elder , M. Alava , S. Majaniemi , T. Ala-Nissila

Using a hydrodynamic lattice-gas model, we study interface growth in a binary fluid with various concentrations of surfactant. We find that the interface is smoothed by small concentrations of surfactant, while microemulsion droplets form…

Condensed Matter · Physics 2009-10-28 Francis W. Starr , Stephen T. Harrington , Bruce M. Boghosian , H. Eugene Stanley

Imbibition phenomena have been widely used experimentally and theoretically to study the kinetic roughening of interfaces. We critically discuss the existing experiments and some associated theoretical approaches on the scaling properties…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Dube , M. Rost , M. Alava

We investigate how the scaling behavior of finite systems at magnetic first-order transitions (FOTs) with relaxational dynamics changes in correspondence of various boundary conditions. As a theoretical laboratory we consider the…

Statistical Mechanics · Physics 2019-07-24 Pierpaolo Fontana