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We prove existence of weak solutions to an evolutionary model derived for magnetoelastic materials. The model is phrased in Eulerian coordinates and consists in particular of (i) a Navier-Stokes equation that involves magnetic and elastic…

Analysis of PDEs · Mathematics 2016-08-11 Barbora Benešová , Johannes Forster , Chun Liu , Anja Schlömerkemper

The gyromagnetic relation - i.e. the proportionality between the angular momentum $\vec L$ (defined by an inertial tensor) and the magnetization $\vec M$ - is evidence of the intimate connections between the magnetic properties and the…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 J. -E. Wegrowe , M. -C. Ciornei

Novel time-resolved imaging techniques for the investigation of ultrafast nanoscale magnetization dynamics are indispensable for further developments in light-controlled magnetism. Here, we introduce femtosecond Lorentz microscopy,…

We derive a continuum equation for the magnetization of a conducting ferromagnet in the presence of a spin-polarized current. Current effects enter in the form of a topological term in the Landau-Lifshitz equation . In the stationary…

Materials Science · Physics 2009-10-30 Ya. B. Bazaliy , B. A. Jones , Shou-Cheng Zhang

It is crucially important to investigate effects of temperature on magnetic properties such as critical phenomena, nucleation, pinning, domain wall motion, coercivity, etc. The Landau-Lifshitz-Gilbert (LLG) equation has been applied…

Materials Science · Physics 2015-07-14 Masamichi Nishino , Seiji Miyashita

We explore the limitations and validity of semi-classically formulated spin equations of motion. Using a single-molecule magnet as a test model, we employ three qualitatively different approximation schemes. From a microscopic model, we…

Mesoscale and Nanoscale Physics · Physics 2017-12-13 Henning Hammar , Jonas Fransson

The stochastic Landau--Lifshitz--Gilbert (LLG) equation coupled with the Maxwell equations (the so called stochastic MLLG system) describes the creation of domain walls and vortices (fundamental objects for the novel nanostructured magnetic…

Numerical Analysis · Mathematics 2017-02-13 Beniamin Goldys , Kim-Ngan Le , Thanh Tran

The paper studies the spatial variation of the magnetization in a nonconducting magnetic sample with an excess number of magnons in comparison to the equilibrium. The phenomenon is considered using the Landau-Lifshits equation with…

Materials Science · Physics 2016-09-16 V. I. Sugakov

The results of large-scale simulations investigating the dynamics of magnetization reversal in arrays of single-domain nanomagnets after a rapid reversal of the applied field at nonzero temperature are presented. The numerical micromagnetic…

Materials Science · Physics 2009-10-31 Gregory Brown , M. A. Novotny , Per Arne Rikvold

We use a single dipole approximation to analyze the behavior of anisotropy-dominated magnetic nanoparticles subjected to an external r.f. field. We identify the steady state oscillations and analyze their stability. We also analyze the case…

Materials Science · Physics 2009-11-13 K. Rivkin , W. Saslow , J. Ketterson

The magnetic response of strongly localized electrons to a time-dependent vector potential is considered. The orbital magnetic moment of the system, away from steady-state conditions, is obtained. The expression involves the tunneling and…

Condensed Matter · Physics 2009-10-28 Y. Galperin , O. Entin-Wohlman

Recently observed scaling in the random-anisotropy model of amorphous or sintered ferromagnets is derived by an alternative method and extended for studying the dynamical properties in terms of the Landau-Lifshitz equations for spin blocks.…

Disordered Systems and Neural Networks · Physics 2025-02-14 Dmitry A. Garanin , Eugene M. Chudnovsky

We establish a machine learning model for the prediction of the magnetization dynamics as function of the external field described by the Landau-Lifschitz-Gilbert equation, the partial differential equation of motion in micromagnetism. The…

Computational Physics · Physics 2021-07-27 Lukas Exl , Norbert J. Mauser , Sebastian Schaffer , Thomas Schrefl , Dieter Suess

We investigate the magnetization dynamics in nanomagnet vertices often found in artificial spin ices. Our analysis involves creating a simplified model that depicts edge magnetization using magnetic charges. We utilize the model to explore…

Mesoscale and Nanoscale Physics · Physics 2024-07-15 Samuel D. Slöetjes , Matías P. Grassi , Vassilios Kapaklis

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

The full Landau-Lifshitz-Gilbert equation with periodic material coefficients and natural boundary condition is employed to model the magnetization dynamics in composite ferromagnets. In this work, we establish the convergence between the…

Analysis of PDEs · Mathematics 2022-06-23 Jingrun Chen , Jian-Guo Liu , Zhiwei Sun

We introduce a numerical method to integrate the stochastic Landau-Lifshitz-Gilbert equation in spherical coordinates for generic discretization schemes. This method conserves the magnetization modulus and ensures the approach to…

Statistical Mechanics · Physics 2014-08-27 Federico Romá , Leticia F. Cugliandolo , Gustavo S. Lozano

We present a complete theory of the spin torque phenomena in a ultrasmall nanomagnet coupled to non-collinear ferromagnetic electrodes through tunnelling junctions. This model system can be described by a simple microscopic model which…

Mesoscale and Nanoscale Physics · Physics 2008-02-22 O. Parcollet , X. Waintal

We investigate the magnetization dynamics of ferromagnetic nanoparticles in the atomistic approach taking account of surface anisotropy and the spin misalignment it causes. We demonstrate that such inhomogeneous spin configurations induce…

Mesoscale and Nanoscale Physics · Physics 2018-11-12 Roland Bastardis , Francois Vernay , Hamid Kachkachi

In this letter we study the non-equilibrium spin dynamics in the non-integrable spin-1 XXZ chain, emerging after joining two macroscopic pure states with different magnetizations. Employing the so-called time-dependent variational principle…

Statistical Mechanics · Physics 2020-02-26 Marko Medenjak , Jacopo De Nardis
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