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Related papers: Low temperature dynamics of kinks on Ising interfa…

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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

Nematic interfaces are thin fluid films, ideally two-dimensional, endowed with an in-plane degenerate nematic order. In this letter we examine a generalisation of the classical Plateau problem to an axisymmetric nematic interface bounded by…

Soft Condensed Matter · Physics 2018-05-30 Gaetano Napoli , Luigi Vergori

Control of quantum entanglement has been considered as elemental physical resource for quantum applications in Quantum Information and Quantum Computation. Control of entangled states on a couple of atoms, ions or quantum dots are…

Quantum Physics · Physics 2017-06-13 Francisco Delgado

We study the interfaces' time evolution in one-dimensional bistable extended dynamical systems with discrete time. The dynamics is governed by the competition between a local piece-wise affine bistable mapping and any couplings given by the…

patt-sol · Physics 2009-10-31 R. Coutinho , B. Fernandez

The roughening phase diagram of the d=3 Ising model with uniaxially anisotropic interactions is calculated for the entire range of anisotropy, from decoupled planes to the isotropic model to the solid-on-solid model, using hard-spin…

Statistical Mechanics · Physics 2011-12-06 Tolga Çağlar , A. Nihat Berker

The kinetics of interfaces in alloy solidification pose a classic free boundary problem. This paper introduces an approach that amalgamates the distinctive characteristics of sharp and diffuse interface models. The motion of the diffuse…

Materials Science · Physics 2024-05-31 Chuanqi Zhu , Yuichiro Koizumi

Dynamics of sine-Gordon kinks in the presence of rapidly varying periodic perturbations of different physical origins is described analytically and numerically. The analytical approach is based on asymptotic expansions, and it allows to…

Condensed Matter · Physics 2009-10-22 Yuri S. Kivshar , Niels Grønbech-Jensen , Robert D. Parmentier

A simple model for an interface moving in a disordered medium is presented. The model exhibits a transition between the two universality classes of interface growth phenomena. Using this model, it is shown that the application of…

Condensed Matter · Physics 2016-08-31 Hernan Makse

We investigate some unstable behavior of the interface given by two incompressible fluids of different densities evolving by the regular Stokes law with gravity force. In the unstable scenario, where the denser fluid lies above the lighter…

Analysis of PDEs · Mathematics 2026-01-27 Francisco Gancedo , Rafael Granero-Belinchón , Zhongtian Hu , Elena Salguero , Yao Yao

We consider layered two-dimensional Ising and directed walk models and show that the two problems are inherently related. The information about the zero-field thermodynamical properties of the Ising model is contained into the transfer…

Condensed Matter · Physics 2009-10-28 F. Igloi , L. Turban

Based on a microscopic density functional theory we calculate the internal structure of the three-phase contact line between liquid, vapor, and a confining wall as well as the morphology of liquid wetting films on a substrate exhibiting a…

Soft Condensed Matter · Physics 2009-10-31 C. Bauer , S. Dietrich

We present a large-scale molecular dynamics study of nematic-paranematic interfaces under shear. We use a model of soft repulsive ellipsoidal particles with well-known equilibrium properties, and consider interfaces which are oriented…

Soft Condensed Matter · Physics 2013-03-19 Guido Germano , Friederike Schmid

We construct a model of short-range interacting Ising spins on a translationally invariant two-dimensional lattice that mimics a reversible circuit that multiplies or factorizes integers, depending on the choice of boundary conditions. We…

Statistical Mechanics · Physics 2019-10-09 Lei Zhang , Stefanos Kourtis , Claudio Chamon , Eduardo R. Mucciolo , Andrei E. Ruckenstein

With Monte Carlo methods, we investigate the relaxation dynamics of a domain wall in the two-dimensional random-field Ising model with a driving field. The short-time dynamic behavior at the depinning transition is carefully examined, and…

Statistical Mechanics · Physics 2012-02-10 N. J. Zhou , B. Zheng , Y. Y. He

In this paper, we numerically study Turing patterns by the Finsler geometry (FG) modeling technique on thermally fluctuating triangular lattices, which are often used for modeling cell membranes or lipid membranes, focusing on the origin of…

Pattern Formation and Solitons · Physics 2022-08-23 H. Koibuchi , F. Kato , G. Diguet , T. Uchimoto

In this paper, a meshfree method using physics-informed neural networks (PINNs) is developed for solving two-phase flow problems with moving interfaces, where two immiscible fluids bearing different material properties, are separated by a…

Numerical Analysis · Mathematics 2026-04-02 Qijia Zhai , Pengtao Sun , Xiaoping Xie , Xingwen Zhu , Chen-Song Zhang

Experiments and computer simulation studies have revealed existence of rich dynamics in the orientational relaxation of molecules in confined systems such as water in reverse micelles, cyclodextrin cavities and nano-tubes. Here we introduce…

Statistical Mechanics · Physics 2015-05-18 Rajib Biswas , Biman Bagchi

Soft modulated phases have been shown to undergo complex morphological transitions, in which layer remodeling induced by mean and Gaussian curvatures plays a major role. This is the case in smectic films under thermal treatment, where focal…

Soft Condensed Matter · Physics 2020-08-03 Eduardo Vitral , Perry H. Leo , Jorge Viñals

The ultra-low kinetic friction F_k of 2D structurally superlubric interfaces, connected with the fast motion of the incommensurate moir\'e pattern, is often invoked for its linear increase with velocity v_0 and area A, but never seriously…

Materials Science · Physics 2023-12-18 Jin Wang , Ming Ma , Erio Tosatti

Deterministic coarse-grained descriptions of driven diffusive systems (DDS) have been hampered by apparent inconsistencies with kinetic Ising models of DDS. In the evolution towards the driven steady-state, ``triangular'' anisotropies in…

Statistical Mechanics · Physics 2009-10-31 A. D. Rutenberg , C. Yeung