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We present an extensive experimental and theoretical study of surface acoustic wave-driven ferromagnetic resonance. In a first modeling approach based on the Landau-Lifshitz-Gilbert equation, we derive expressions for the magnetization…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 L. Dreher , M. Weiler , M. Pernpeintner , H. Huebl , R. Gross , M. S. Brandt , S. T. B. Goennenwein

Various applications ranging from spintronic devices, giant magnetoresistance sensors, and magnetic storage devices, include magnetic parts on very different length scales. Since the consideration of the Landau-Lifshitz-Gilbert equation…

A second order accurate, linear numerical method is analyzed for the Landau-Lifshitz equation with large damping parameters. This equation describes the dynamics of magnetization, with a non-convexity constraint of unit length of the…

Numerical Analysis · Mathematics 2021-11-16 Yongyong Cai , Jingrun Chen , Cheng Wang , Changjian Xie

Recent theoretical and experimental advances show that the inertia of magnetization emerges at sub-picoseconds and contributes to the ultrafast magnetization dynamics which cannot be captured intrinsically by the LLG equation. Therefore, as…

Numerical Analysis · Mathematics 2021-08-09 Panchi Li , Lei Yang , Jin Lan , Rui Du , Jingrun Chen

This article addresses a problem of micromagnetics: the reversal of magnetic moments in layered spring magnets. A one-dimensional model is used of a film consisting of several atomic layers of a soft material on top of several atomic layers…

Dynamical Systems · Mathematics 2025-10-20 J. Samuel Jiang , Hans G. Kaper , Gary K. Leaf

We demonstrate a strong dependence of the effective damping on the nanomagnet size and the particular spin-wave mode that can be explained by the theory of intralayer transverse-spin-pumping. The effective Landau-Lifshitz damping is…

Mesoscale and Nanoscale Physics · Physics 2013-03-15 Hans T. Nembach , Justin M. Shaw , Carl T. Boone , T. J. Silva

We simulated the remagnetization dynamics of the ultra-dense and ultra-thin magnetic dot array system with dipole-dipole and exchange coupling interactions. Within the proposed 2D XY superlattice model, the square dots are modeled by the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Martin Gmitra , Denis Horvath

Thermal-bias-induced spin angular momentum transfer between a paramagnetic metal and ferromagnetic insulator is studied theoretically based on the stochastic Landau-Lifshitz-Gilbert (LLG) phenomenology. Magnons in the ferromagnet establish…

Mesoscale and Nanoscale Physics · Physics 2013-08-14 Silas Hoffman , Koji Sato , Yaroslav Tserkovnyak

We consider the Landau-Lifshitz-Gilbert equation (LLG) that models time-dependent micromagnetic phenomena. We propose a full discretization that employs first-order finite elements in space and a BDF2-type two-step method in time. In each…

Numerical Analysis · Mathematics 2026-02-11 Michele Aldé , Michael Feischl , Dirk Praetorius

We calculate the magnetization torque due to the spin polarization of the itinerant electrons by deriving the kinetic spin Bloch equations based on the $s$-$d$ model. We find that the first-order gradient of the magnetization inhomogeneity…

Materials Science · Physics 2011-02-15 K. Shen , G. Tatara , M. W. Wu

We demonstrate the existence of stable time dependent solutions of the Landau-Lifshitz model with a constant external magnetic field. We find such solutions in all topological sectors, including N=0. We discuss some of their properties.

High Energy Physics - Theory · Physics 2009-10-30 B. Piette , W. J. Zakrzewski

The dynamics of magnetization near a stable equilibrium in ferromagnetic nanomagnets are examined within the Landau--Lifshitz--Gilbert (LLG) framework. For a small angle precession, the dependence of ferromagnetic resonance (FMR) frequency,…

The autoresonant approach to excitation and control of large amplitude uniformly precessing magnetization structures in finite length easy axis ferromagnetic nanoparticles is suggested and analyzed within the Landau-Lifshitz-Gilbert model.…

Mesoscale and Nanoscale Physics · Physics 2020-01-13 A. G. Shagalov , L. Friedland

We investigate spin-wave modes in confined ferromagnetic resonators with spherical and cylindrical geometries across the exchange-dominated, dipole-exchange, and dipolar interaction regimes. Starting from the linearized…

Mesoscale and Nanoscale Physics · Physics 2026-03-30 Fedor Shuklin , Khristina Albitskaya , Sergei Solovyov , Alexander Chernov , Mihail Petrov

We consider the numerical approximation of the inertial Landau-Lifshitz-Gilbert equation (iLLG), which describes the dynamics of the magnetization in ferromagnetic materials at subpicosecond time scales. We propose and analyze two fully…

Numerical Analysis · Mathematics 2021-10-07 Michele Ruggeri

The Landau-Lifshitz equation describes the dynamics of magnetization in ferromagnetic materials. Due to the essential nonlinearity and nonconvex constraint, it is typically solved numerically. In this paper, we developed a finite volume…

Numerical Analysis · Mathematics 2026-05-18 Yunjie Gong , Jingrun Chen , Rui Du , Panchi Li

A multiple-time scaling analysis of the dissipative, transversely driven Landau-Lifshitz equation in presence of exchange, shape demagnetisation and week anisotropy fields is performed for a dynamic domain state. Stationary solutions of the…

patt-sol · Physics 2008-02-03 Timm Plefka

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

(Anti)-/ferromagnetic Heisenberg spin models arise from discretization of Landau-Lifshitz models in micromagnetic modelling. In many applications it is essential to study the behavior of the system at a fixed temperature. A formulation for…

Numerical Analysis · Mathematics 2025-10-20 Teijo Arponen , Ben Leimkuhler

Oscillation frequency of spin torque oscillator with a perpendicularly magnetized free layer and an in-plane magnetized pinned layer is theoretically investigated by taking into account the field-like torque. It is shown that the field-like…

Mesoscale and Nanoscale Physics · Physics 2015-02-11 Tomohiro Taniguchi , Sumito Tsunegi , Hitoshi Kubota , Hiroshi Imamura
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