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The damping of magnetization, represented by the rate at which it relaxes to equilibrium, is successfully modeled as a phenomenological extension in the Landau-Lifschitz-Gilbert equation. This is the damping torque term known as Gilbert…

Other Condensed Matter · Physics 2009-04-01 M. C. Hickey , J. S. Moodera

A simplified model is introduced and analysed to show, that for the Landau-Lifshitz equation stable, steady state solutions of domain type exist in ferromagnetic systems, strongly driven by external transverse fields. These dynamic domain…

Condensed Matter · Physics 2007-05-23 T. Plefka

Excitation of magnons or spin-waves driven by nominally unpolarized transport currents in point contacts of normal and ferromagnetic metals is probed by irradiating the contacts with microwaves. Two characteristic dynamic effects are…

Materials Science · Physics 2009-11-13 O. P. Balkashin , V. V. Fisun , I. K. Yanson , L. Yu. Triputen , A. Konovalenko , V. Korenivski

Micromagnetics simulation based on the classical Landau-Lifshitz-Gilbert (LLG) equation has long been a powerful method for modeling magnetization dynamics and reversal of three-dimensional (3D) magnets. For two-dimensional (2D) magnets,…

Mesoscale and Nanoscale Physics · Physics 2022-09-13 Essa M. Ibrahim , Shufeng Zhang

The Landau-Lifshitz equation describes the dynamics of the magnetization inside ferromagnetic materials. This equation is highly nonlinear and has a non-convex constraint (the magnitude of the magnetization is constant) which pose…

Numerical Analysis · Mathematics 2016-12-21 Eugenia Kim , Konstantin Lipnikov

We demonstrate a technique that enables ferromagnetic resonance (FMR) measurements of the normal modes for magnetic excitations in individual nanoscale ferromagnets, smaller in volume by a factor of 1000 than can be probed by other methods.…

Materials Science · Physics 2009-11-11 J. C. Sankey , P. M. Braganca , A. G. F. Garcia , I. N. Krivorotov , R. A. Buhrman , D. C. Ralph

In this work we discuss the use of interferometric measurement technique to study microwave magnetization dynamics on ferromagnetic nanostructures. We demonstrate that in this way one can resolve features which are impossible to resolve…

Mesoscale and Nanoscale Physics · Physics 2014-02-17 Eugene N. Ivanov , Mikhail Kostylev

The Landau--Lifshitz equation describes the dynamics of magnetization inside a ferromagnet. This equation is nonlinear and has an infinite number of stable equilibria. It is desirable to control the system from one equilibrium to another. A…

Optimization and Control · Mathematics 2015-09-29 Amenda Chow , Kirsten A. Morris

We present efficient numerical methods for the simulation of small magnetization oscillations in three-dimensional micromagnetic systems. Magnetization dynamics is described by the Landau-Lifshitz-Gilbert (LLG) equation, linearized in the…

Computational Physics · Physics 2023-01-18 Massimiliano d'Aquino , Riccardo Hertel

The investigation of a sizable thermal enhancement of magnetization is put forward for uniaxial ferromagnetic nanoparticles that are placed in a rotating magnetic field. We elucidate the nature of this phenomenon and evaluate the resonant…

Statistical Mechanics · Physics 2016-08-16 S. I. Denisov , T. V. Lyutyy , P. Hänggi

The Barnett effect refers to the magnetization induced by rotation of a demagnetized ferromagnet. We describe the location and stability of stationary states in rotating nanostructures using the Landau-Lifshitz-Gilbert equation. The…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Stefan Bretzel , Gerrit E. W. Bauer , Yaroslav Tserkovnyak , Arne Brataas

We examine the mechanical rotation of a levitated magnetic particle that is induced by ferromagnetic resonance under microwave irradiation. We show that two stable solutions appear in a certain range of parameters by bifurcation when the…

Mesoscale and Nanoscale Physics · Physics 2023-09-20 T. Sato , T. Kato , Daigo Oue , M. Matsuo

In metallic ferromagnets, the interaction between local magnetic moments and conduction electrons renormalizes parameters of the Landau-Lifshitz-Gilbert equation such as the gyromagnetic ratio and the Gilbert damping, and makes them…

Mesoscale and Nanoscale Physics · Physics 2018-05-24 Kyoung-Whan Kim , Hyun-Woo Lee , Kyung-Jin Lee , Karin Everschor-Sitte , Olena Gomonay , Jairo Sinova

The dilute Heisenberg ferromagnet is studied taking into account fluctuations of magnetization caused by disorder. A self-consistent system of equations for magnetization and its mean quadratic fluctuations is derived within the…

Condensed Matter · Physics 2015-06-25 I. Vakarchuk , V. Tkachuk , T. Kuliy

The presence of magnetic fields in many astrophysical objects is due to dynamo action, whereby a part of the kinetic energy is converted into magnetic energy. A turbulent dynamo that produces magnetic field structures on the same scale as…

Astrophysics of Galaxies · Physics 2020-03-19 Amit Seta , Paul J. Bushby , Anvar Shukurov , Toby S. Wood

We present a systematic phenomenological description of Gilbert damping in two-sublattice magnets. Our theory covers the full range of materials from ferro- via ferri- to antiferromagnets. Following a Rayleigh dissipation functional…

Materials Science · Physics 2018-11-08 Akashdeep Kamra , Roberto E. Troncoso , Wolfgang Belzig , Arne Brataas

We propose a three-dimensional micromagnetic model that dynamically solves the Landau-Lifshitz-Gilbert equation coupled to the full spin-diffusion equation. In contrast to previous methods, we solve for the magnetization dynamics and the…

The Landau--Lifshitz--Gilbert equations for the evolution of the magnetization, in presence of an external torque, can be cast in the form of the Lorenz equations and, thus, can describe chaotic fluctuations. To study quantum effects, we…

Quantum Physics · Physics 2015-04-24 Julien Tranchida , Pascal Thibaudeau , Stam Nicolis

We develop a general formalism for analyzing the ferromagnetic resonance characteristics of a magnetic dimer consisting of two magnetic elements (in a horizontal or vertical configuration) coupled by dipolar interaction, taking account of…

Materials Science · Physics 2015-01-22 A. F. Franco , J. L. Déjardin , H. Kachkachi

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
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