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The local structure of a solid-on-solid (SOS) interface in a two-dimensional kinetic Ising ferromagnet with single-spin-flip Glauber dynamics, which is driven far from equilibrium by an applied field, is studied by an analytic mean-field,…

Statistical Mechanics · Physics 2009-11-07 P. A. Rikvold , M. Kolesik

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

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 present analytical results and kinetic Monte Carlo simulations for the mobility and microscopic structure of solid-on-solid (SOS) interfaces driven far from equilibrium by an external force, such as an applied field or (electro)chemical…

Materials Science · Physics 2009-09-29 G. M. Buendia , P. A. Rikvold , M. Kolesik

The nanoscopic 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 a…

Statistical Mechanics · Physics 2007-07-24 G. M Buendia , P. A. Rikvold , M. Kolesik , K. Park , M. A. Novotny

A driven Ising model with friction due to magnetic correlations has recently been proposed by Kadau et al. (Phys. Rev. Lett. 101, 137205 (2008)). The non-equilibrium phase transition present in this system is investigated in detail using…

Statistical Mechanics · Physics 2010-01-05 Alfred Hucht

Analytical arguments and dynamic Monte Carlo simulations show that the microstructure of field-driven Solid-on-Solid interfaces depends strongly on the dynamics. For nonconservative dynamics with transition rates that factorize into parts…

Statistical Mechanics · Physics 2009-11-07 Per Arne Rikvold , Miroslav Kolesik

We study the roughening transition of the dual of the 2D XY model, of the Discrete Gaussian model, of the Absolute Value Solid-On-Solid model and of the interface in an Ising model on a 3D simple cubic lattice. The investigation relies on a…

Condensed Matter · Physics 2008-11-26 M. Hasenbusch , K. Pinn

We study the $2d$ stationary fluctuations of the interface in the SOS approximation of the non equilibrium stationary state found in \cite{DOP}. We prove that the interface fluctuations are of order $N^{1/4}$, $N$ the size of the system. We…

Probability · Mathematics 2020-01-08 Anna De Masi , Immacolata Merola , Stefano Olla

We study the dynamics of a driven interface in a two-dimensional random-field Ising model close to the depinning transition at small but finite temperatures T using Glauber dynamics. A square lattice is considered with an interface…

Statistical Mechanics · Physics 2009-10-31 U. Nowak , K. D. Usadel

The anisotropic motion of an interface driven by its intrinsic curvature or by an external field is investigated in the context of the kinetic Ising model in both two and three dimensions. We derive in two dimensions (2d) a continuum…

Statistical Mechanics · Physics 2009-11-11 Alain Karma , Alexander E. Lobkovsky

We investigate the localization transition for a simple model of interface which interacts with an inhomonegeous defect plane. The interface is modeled by the graph of a function $\phi: \mathbb Z^2 \to \mathbb Z$,and the disorder is given…

Probability · Mathematics 2021-03-17 Hubert Lacoin

We have investigated the step stiffness on Cu(001) surfaces as a function of step orientation by two independent methods at several temperatures near 300 K. Both sets of data agree well and show a substantial dependence of the stiffness on…

Materials Science · Physics 2009-11-10 Sabine Dieluweit , Harald Ibach , Margret Giesen , T. L. Einstein

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

We consider phase separation on the strip for the two-dimensional Ising model in the near-critical region. Within the framework of field theory, we find exact analytic results for certain two- and three-point correlation functions of the…

Statistical Mechanics · Physics 2021-09-01 Alessio Squarcini , Antonio Tinti

Plenty of research on elastic interfaces has been done on systems where the interface is pushed with a constant force. We studied the average velocity of an interface under a sinusoidal driving in the creep region, considering both…

Statistical Mechanics · Physics 2023-03-28 Juha Savolainen , Mikko Alava

The dynamics of non-equilibrium Ising model with parallel updates is investigated using a generalized mean field approximation that incorporates multiple two-site correlations at any two time steps, which can be obtained recursively. The…

Disordered Systems and Neural Networks · Physics 2015-06-17 Hamed Mahmoudi , David Saad

We study the roughening transition of an interface in an Ising system on a 3D simple cubic lattice using a finite size scaling method. The particular method has recently been proposed and successfully tested for various solid on solid…

High Energy Physics - Lattice · Physics 2009-10-28 M. Hasenbusch , S. Meyer , M. Pütz

We consider an Ising model on a square grid with ferromagnetic spin-spin interactions spanning beyond nearest neighbors. Starting from initial states with a single unbounded interface separating ordered phases, we investigate the evolution…

Statistical Mechanics · Physics 2013-06-25 P. L. Krapivsky , Jason Olejarz

The rapid solidification of a binary mixture in the region of the interface velocities $V$ close to the diffusion speed in the bulk of the liquid phase $V_D$ is considered within the framework of the local nonequilibrium approach. In this…

Materials Science · Physics 2021-07-12 G. L. Buchbinder
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