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An extended Landau-Lifshitz-Gilbert (LLG) equation is introduced to describe the dynamics of inhomogeneous magnetization in a current-carrying wire. The coefficients of all the terms in this equation are calculated quantum-mechanically for…

Materials Science · Physics 2009-11-13 D. M. Edwards , O. Wessely

A composite multiferroic chain with an interfacial linear magneto-electric coupling is used to study the magnetic and electric responses to an external magnetic or electric field. The simulation uses continuous spin dynamics through the…

Mesoscale and Nanoscale Physics · Physics 2015-08-25 Zidong Wang , Malcolm J. Grimson

The numerical approximation for the Landau-Lifshitz equation, the dynamics of magnetization in a ferromagnetic material, is taken into consideration. This highly nonlinear equation, with a non-convex constraint, has several equivalent…

Analysis of PDEs · Mathematics 2019-07-05 Jingrun Chen , Cheng Wang , Changjian Xie

Here we report the possibility to excite ultra-short spin waves in ferromagnetic thin-films by using time-harmonic electromagnetic fields with terahertz frequency. Such ultra-fast excitation requires to include inertial effects in the…

Mesoscale and Nanoscale Physics · Physics 2024-04-11 Massimiliano d'Aquino , Salvatore Perna , Matteo Pancaldi , Riccardo Hertel , Stefano Bonetti , Claudio Serpico

Using an effective Hamiltonian including the Zeeman and internal interactions, we describe the quantum theory of magnetization dynamics when the spin system evolves non-adiabatically and out of equilibrium. The Lewis-Riesenfeld dynamical…

Other Condensed Matter · Physics 2008-11-26 F. M. Saradzhev , F. C. Khanna , Sang Pyo Kim , M. de Montigny

The (inverse) magnetostrictive effect in ferromagnets couples the magnetic properties to the mechanical stress, allowing for an interaction between the magnetic and mechanical degrees of freedom. In this work, we present a time-integration…

In this work, we define a set of analytic tools to describe the dynamic response of the magnetization to small perturbations, which can be used on its own or in combination with micromagnetic simulations and does not require saturation. We…

Other Condensed Matter · Physics 2019-02-12 Benjamin W. Zingsem , Michael Winklhofer , Ralf Meckenstock , Michael Farle

Micromagnetic simulations based on the stochastic Landau-Lifshitz-Gilbert equation are used to calculate dynamic magnetic hysteresis loops relevant to magnetic hyperthermia. With the goal to effectively simulate room-temperature loops for…

Materials Science · Physics 2021-11-09 Razyeh Behbahani , Martin L. Plumer , Ivan Saika-Voivod

We report the development of a hybrid numerical / analytical model capable of mapping the spatially-varying distributions of the local ferromagnetic resonance (FMR) frequency and dynamic magnetic susceptibility in a wide class of patterned…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 C. S. Davies , V. D. Poimanov , V. V. Kruglyak

The interaction of coherent magnetization rotation with a system of two-level impurities is studied. Two different, but not contradictory mechanisms, the `slow-relaxing ion' and the `fast-relaxing ion' are utilized to derive a system of…

Condensed Matter · Physics 2009-10-31 Vladimir L. Safonov , H. Neal Bertram

A third-order accurate implicit-explicit Runge-Kutta time marching numerical scheme is proposed and implemented for the Landau-Lifshitz-Gilbert equation, which models magnetization dynamics in ferromagnetic materials, with arbitrary damping…

Numerical Analysis · Mathematics 2024-07-09 Yan Gui , Rui Du , Cheng Wang

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

The dynamics of an individual magnetic moment is studied through the Landau-Lifshitz equation with a periodic driving in the direction perpendicular to the applied field. For fields lower than the anisotropy field and small values of the…

Materials Science · Physics 2007-05-23 Luis Fernández Álvarez , Oscar Pla , Oksana Chubykalo

We present a general approach to the derivation of the effective anisotropy field which determines the dynamical behaviour of magnetic spins according to the Landau-Lifshitz-Gilbert equation. The approach is based on the gradient in…

We propose a novel model which efficiently describes the magnetization dynamics in a magnetic bilayer system. By applying a particular gauge transformation to the Landau-Lifshitz-Gilbert (LLG) equation, we successfully convert the model…

Mesoscale and Nanoscale Physics · Physics 2024-05-01 Xin-Wei Jin , Zhan-Ying Yang , Zhimin Liao , Guangyin Jing , Wen-Li Yang

Crystallographic lattice defects strongly influence dynamical properties of magnetic materials at both microscopic and macroscopic length scales. A multi-scale approach to magnetisation dynamics, which is presented in this paper, accurately…

Materials Science · Physics 2020-02-05 É. Méndez , M. Poluektov , G. Kreiss , O. Eriksson , M. Pereiro

In the paper we obtain equations for large-scale fluctuations of the mean field (the field of magnetization and quadrupole moments) in a magnetic system realized by a square (cubic) lattice of atoms with spin s >= 1 at each site. We use the…

Other Condensed Matter · Physics 2014-09-22 Julia Bernatska , Petro Holod

This paper investigates the time-optimal control problem for the Landau-Lifshitz-Bloch (LLB) equation, a macroscopic model that characterizes magnetization dynamics in ferromagnetic materials across a wide temperature range, including near…

Optimization and Control · Mathematics 2025-12-22 Sidhartha Patnaik , Kumarasamy Sakthivel

The Landau-Lifshitz-Gilbert (LLG) equation describes the dynamics of a damped magnetization vector that can be understood as a generalization of Larmor spin precession. The LLG equation cannot be deduced from the Hamiltonian framework, by…

Mesoscale and Nanoscale Physics · Physics 2017-03-07 Pascal Thibaudeau , Thomas Nussle , Stam Nicolis

The study of the dynamics of magnetically ordered states in strong excitation through micromagnetic modeling has become relevant due to the observation of magnon Bose condensation. In particular, the question has arisen about the…

Quantum Gases · Physics 2023-06-07 A. D. Belanovsky , Yu. M. Bunkov , P. M. Vetoshko
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