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The non-equilibrium phase transition in driven two-dimensional Ising models with two different geometries is investigated using Monte Carlo methods as well as analytical calculations. The models show dissipation through fluctuation induced…

Statistical Mechanics · Physics 2012-05-23 Sebastian Angst , Alfred Hucht , Dietrich E. Wolf

We analyze numerically a moving interface in the random-field Ising model which is driven by a magnetic field. Without thermal fluctuations the system displays a depinning phase transition, i.e., the interface is pinned below a certain…

Statistical Mechanics · Physics 2009-10-31 L. Roters , S. Lubeck , K. D. Usadel

We consider numerically the depinning transition in the random-field Ising model. Our analysis reveals that the three and four dimensional model displays a simple scaling behavior whereas the five dimensional scaling behavior is affected by…

Statistical Mechanics · Physics 2007-05-23 L. Roters , S. Lubeck , K. D. Usadel

The existed theories and methods for calculating interfacial thermal conductance of solid-solid interface lead to diverse values that deviate from experimental measurements. In this letter, We propose a model to estimate the ITC at high…

Materials Science · Physics 2020-11-20 Jinxin Zhong , Zhiguo Wang , Xiaobo Li , Jun Liu , Jun Zhou

We investigate reconfigurable intelligent surfaces (RISs) for the task of position and velocity estimation in non-LOS (NLOS) indoor scenarios, using a snapshot based multi-step estimation algorithm. We evaluate a compound RIS structure…

Signal Processing · Electrical Eng. & Systems 2026-02-16 Thomas Zemen , Musa Furkan Keskin , Moustafa Rahal , Thomas Wilding , Hamed Radpour , Markus Hofer , Benoit Denis , Henk Wymeersch

We provide accurate Monte Carlo results for the free energy of interfaces with periodic boundary conditions in the 3D Ising model. We study a large range of inverse temperatures, allowing to control corrections to scaling. In addition to…

High Energy Physics - Lattice · Physics 2008-11-26 Michele Caselle , Martin Hasenbusch , Marco Panero

We use a phase-separated driven two-dimensional Ising lattice gas to study fluid interfaces exposed to shear flow parallel to the interface. The interface is stabilized by two parallel walls with opposing surface fields and a driving field…

Statistical Mechanics · Physics 2009-11-13 Thomas H. R. Smith , Oleg Vasilyev , Douglas B. Abraham , Anna Maciołek , Matthias Schmidt

We consider a nearest-neighbor solid-on-solid (SOS) model, with several spin values $0,1,\ldots,m,$ $m\geq2,$ and nonzero external field, on a Cayley tree of degree $k$ (with $k+1$ neighbors). We are aiming to extend the results of…

Mathematical Physics · Physics 2021-10-14 M. M. Rahmatullaev , O. Sh. Karshiboev

The dynamics of sharp interfaces separating two non-hydrostatically stressed solids is analyzed using the idea that the rate of mass transport across the interface is proportional to the thermodynamic potential difference across the…

Materials Science · Physics 2009-11-13 Luiza Angheluta , Espen Jettestuen , Joachim Mathiesen

Using extensive Monte Carlo simulations, we study the interface localization- delocalization transition of a thin Ising film with antisymmetric competing walls for a set of parameters where the transition is strongly first-order. This is…

Statistical Mechanics · Physics 2009-11-10 B. J. Schulz , K. Binder , M. M"uller

A main challenge in numerical simulations of moving contact line problems is that the adherence, or no-slip boundary condition leads to a non-integrable stress singularity at the contact line. In this report we perform the first steps in…

Fluid Dynamics · Physics 2015-10-23 Hanna Holmgren , Gunilla Kreiss

We study a family of integer-valued random interface models on the two-dimensional square lattice that include the solid-on-solid model and more generally $p$-SOS models for $0<p\le2$, and prove that at sufficiently high temperature the…

Probability · Mathematics 2025-09-05 Sébastien Ott , Florian Schweiger

We study an one dimensional model where an interface is the stationary solution of a mesoscopic non local evolution equation which has been derived by a microscopic stochastic spin system. Deviations from this evolution equation can be…

Mathematical Physics · Physics 2017-03-07 P. Birmpa , D. Tsagkarogiannis

We investigate the interface dynamics of the two-dimensional stochastic Ising model in an external field under helicoidal boundary conditions. At sufficiently low temperatures and fields, the dynamics of the interface is described by an…

Statistical Mechanics · Physics 2012-08-31 J. Ricardo G. Mendonça

This article presents a new phase-field formulation for non-equilibrium interface conditions in rapid phase transformations. With a particular way of defining concentration fields, the classical sharp and diffuse (thick) interface theories…

Materials Science · Physics 2023-04-03 Yue Li , Lei Wang , Junjie Li , Jincheng Wang , Zhijun Wang

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

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

This paper investigates the problem of continuous attitude estimation on $SO(3)$ using continuous angular velocity and linear acceleration measurements as well as intermittent linear velocity and inertial vector measurements. First, we…

Systems and Control · Electrical Eng. & Systems 2021-09-23 Miaomiao Wang , Abdelhamid Tayebi

The connection between the out of equilibrium linear response function and static properties established by Franz, Mezard, Parisi and Peliti for slowly relaxing systems is analyzed in the context of phase ordering processes. Separating the…

Statistical Mechanics · Physics 2009-11-07 Federico Corberi , Eugenio Lippiello , Marco Zannetti

We study the interfaces arising in the two-dimensional Ising model at critical temperature, without magnetic field. We show that in the presence of free boundary conditions between plus and minus spins, the scaling limit of these interfaces…

Probability · Mathematics 2011-10-18 Clément Hongler , Kalle Kytölä