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We use the method of $\Gamma$-convergence to study the behavior of the Landau-de Gennes model for a nematic liquid crystalline film attached to a general fixed surface in the limit of vanishing thickness. This paper generalizes the approach…

Analysis of PDEs · Mathematics 2017-05-24 Dmitry Golovaty , Alberto Montero , Peter Sternberg

Domain wall dynamics in ferromagnets is complicated by internal degrees of freedom of the domain walls. We develop a model of domain walls in disordered thin films with perpendicular magnetic anisotropy capturing such features, and use it…

Statistical Mechanics · Physics 2022-03-08 Audun Skaugen , Lasse Laurson

Numerical simulations of domain wall propagation in thin nanotubes when an external magnetic field is applied along the nanotube axis have shown an unexpected behavior described as a transition from a linear to a magnonic regime. As the…

Mesoscale and Nanoscale Physics · Physics 2019-10-09 M. C. Depassier

An efficient Monte Carlo method is extended to evaluate directly domain-wall free-energy for randomly frustrated spin systems. Using the method, critical phenomena of spin-glass phase transition is investigated in 4d +/-J Ising model under…

Disordered Systems and Neural Networks · Physics 2009-10-31 Koji Hukushima

Control of magnetic domain wall motion by electric fields has recently attracted scientific attention because of its potential for magnetic logic and memory devices. Here, we report on a new driving mechanism that allows for magnetic domain…

A \Gamma-convergence result involving the elastic energy of a narrow inextensible ribbon is established. A non-dimensional form of the elastic energy is reduced to a one-dimensional integral over the centerline of the ribbon with the aspect…

Analysis of PDEs · Mathematics 2013-07-15 Nicholas Kirby , Eliot Fried

We address the dynamics of magnetic domain walls in ferromagnetic nanowires under the influence of external time-dependent magnetic fields. We report a new exact spatiotemporal solution of the Landau-Lifshitz-Gilbert equation for the case…

Materials Science · Physics 2010-04-13 Arseni Goussev , JM Robbins , Valeriy Slastikov

We study the magnetic energy of magnetic polymer composite materials as the average distance between magnetic particles vanishes. We model the position of these particles in the polymeric matrix as a stochastic lattice scaled by a small…

Analysis of PDEs · Mathematics 2018-07-25 R. Alicandro , M. Cicalese , M. Ruf

The effect of magnetic domain boundaries displacement induced by electric field is observed in epitaxial ferrite garnet films (on substrates with the (210) crystallographic orientation). The effect is odd with respect to the electric field…

Materials Science · Physics 2008-01-29 A. S. Logginov , G. A. Meshkov , V. A. Nikolaev , A. P. Pyatakov , A. K. Zvezdin

Our main interest is the evolution of domain walls of the Higgs field in the early Universe. The aim of this paper is to understand how dynamics of Higgs domain walls could be influenced by yet unknown interactions from beyond the Standard…

High Energy Physics - Phenomenology · Physics 2018-05-16 Tomasz Krajewski , Zygmunt Lalak , Marek Lewicki , Paweł Olszewski

While an ideal antiparallel ferroelectric wall is considered a unit cell in width (~0.5nm), we show using phase field modeling that the threshold field for moving this wall dramatically drops by 2-3 orders of magnitude if the wall were…

Domain-wall dynamics in ferroelectric materials are strongly position-dependent since each polar interface is locked into a unique local microstructure. This necessitates spatially resolved studies of the wall-pinning using scanning-probe…

Materials Science · Physics 2025-06-02 Kamyar Barakati , Yu Liu , Hiroshi Funakubo , Sergei V. Kalinin

We report first principle numerical study of domain wall (DW) depinning in two-dimensional magnetic film, which is modeled by 2D random-field Ising system with the dipole-dipole interaction. We observe nonconventional activation-type motion…

Statistical Mechanics · Physics 2015-01-20 Bin Xi , Meng-Bo Luo , Valerii M. Vinokur , Xiao Hu

The conductance of domain wall structures consisting of either stripes or cylindrical domains in multi-axial ferroelectric-semiconductors is analyzed. The effects of the domain size, wall tilt and curvature, on charge accumulation, are…

Understanding and controlling the motion, stability, and equilibrium configuration of ferroelectric domain walls is key for their integration into potential nanoelectronics applications, such as ferroelectric racetrack memories. Using…

Disordered Systems and Neural Networks · Physics 2022-01-05 Guillaume Rapin , Sophia Ehrensperger , Cédric Blaser , Nirvana Caballero , Patrycja Paruch

A complete analysis of all the potentially dangerous directions in the field-space of the minimal supersymmetric standard model is carried out. They are of two types, the ones associated with the existence of charge and color breaking…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. A. Casas , A. Lleyda , C. Muñoz

The relaxation method used to solve boundary value problems is applied to study the variation of the magnetization orientation in several types of domain walls that occur in ferromagnetic materials. The algorithm is explained and applied to…

Classical Physics · Physics 2007-05-23 C. Tannous , J. Gieraltowski

A closed form analytical expression for the magnetization vector distribution within the cross-tie domain wall in an isotropic ferromagnetic thin film is given. The expression minimizes the exchange energy functional exactly, and the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Konstantin L. Metlov

The shape instability of magnetic domain walls under current is investigated in a ferromagnetic (Ga,Mn)(As,P) film with perpendicular anisotropy. Domain wall motion is driven by the spin transfer torque mechanism. A current density gradient…

An exact solution of Einstein-Cartan-Maxwell (ECM) field equations representing a charged domain wall given by the jump on the electric charge and spin density across the wall is obtained from the Riemannian theory of distributions. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade