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By using the quantum kinetic approach with the instantaneous local equilibrium approximation, we propose an equation that is capable of addressing magnetization dynamics for a wide range of temperatures. The equation reduces to the…

介观与纳米尺度物理 · 物理学 2015-06-05 Lei Xu , Shufeng Zhang

The current-induced magnetisation dynamics in a ferromagnet at elevated temperatures can be described by the Landau--Lifshitz--Bloch (LLB) equation with spin-torque terms. In this paper, we focus on the regime above the Curie temperature.…

数值分析 · 数学 2025-06-30 Agus L. Soenjaya

The Landau--Lifshitz--Bloch (LLB) equation is a formulation of dynamic micromagnetics valid at all temperatures, treating both the transverse and longitudinal relaxation components important for high-temperature applications. We study LLB…

偏微分方程分析 · 数学 2016-05-18 Kim Ngan Le

The Landau-Lifshitz-Gilbert (LLG) equation is widely used to describe magnetization dynamics. We develop a unified framework of the microscopic LLG equation based on the nonequilibrium Green's function formalism. We present a unified…

介观与纳米尺度物理 · 物理学 2023-10-16 Fuming Xu , Gaoyang Li , Jian Chen , Zhizhou Yu , Lei Zhang , Baigeng Wang , Jian Wang

Precise modeling of the magnetization dynamics of nanoparticles with finite size effects at fast varying temperatures is a computationally challenging task. Based on the Landau-Lifshitz-Bloch (LLB) equation we derive a coarse grained model…

材料科学 · 物理学 2019-08-07 Christoph Vogler , Claas Abert , Florian Bruckner , Dieter Suess

We derive the Landau-Lifshitz-Bloch (LLB) equation for a two-component magnetic system valid up to the Curie temperature. As an example, we consider disordered GdFeCo ferrimagnet where the ultrafast optically induced magnetization switching…

材料科学 · 物理学 2016-11-11 U. Atxitia , P. Nieves , O. Chubykalo-Fesenko

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,…

介观与纳米尺度物理 · 物理学 2022-09-13 Essa M. Ibrahim , Shufeng 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…

材料科学 · 物理学 2015-07-14 Masamichi Nishino , Seiji Miyashita

A macroscopic equation of motion for the magnetization of a ferromagnet at elevated temperatures should contain both transverse and longitudinal relaxation terms and interpolate between Landau-Lifshitz equation at low temperatures and the…

统计力学 · 物理学 2009-10-31 D. A. Garanin

In this work, we study the stochastic thermodynamics of micro-magnetic systems. We first formulate the stochastic dynamics of micro-magnetic systems by incorporating noises into Landau-Lifshitz (LL) equation, which describes the…

统计力学 · 物理学 2024-08-06 Mingnan Ding , Jun Wu , Xiangjun Xing

The stochastic Landau--Lifshitz--Gilbert (LLG) equation describes the behaviour of the magnetization under the influence of the effective field consisting of random fluctuations. We first reformulate the equation into an equation the…

数值分析 · 数学 2015-02-05 Beniamin Goldys , Kim-Ngan Le , Thanh Tran

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…

材料科学 · 物理学 2009-11-13 D. M. Edwards , O. Wessely

The classical Landau-Lifshitz-Gilbert (LLG) equation has long served as a cornerstone for modeling magnetization dynamics in magnetic systems, yet its classical nature limits its applicability to inherently quantum phenomena such as…

量子物理 · 物理学 2025-06-25 Vahid Azimi-Mousolou , Davoud Mirzaei

An efficient method for computing thermodynamic equilibrium states at the micromagnetic length scale is introduced, using the Markov chain Monte Carlo method. Trial moves include not only rotations of vectors, but also a change in their…

介观与纳米尺度物理 · 物理学 2021-11-10 Serban Lepadatu

Ferromagnetic materials tend to develop very complex magnetization patterns whose time evolution is modeled by the so-called Landau-Lifshitz-Gilbert equation (LLG). In this paper, we construct time-periodic solutions for LLG in the regime…

偏微分方程分析 · 数学 2010-06-25 Alexander Huber

We introduce a new approach to understand magnetization dynamics in ferromagnets based on the holographic realization of ferromagnets. A Landau-Lifshitz equation describing the magnetization dynamics is derived from a Yang-Mills equation in…

高能物理 - 理论 · 物理学 2019-11-27 Naoto Yokoi , Koji Sato , Eiji Saitoh

We investigate the effect of temperature on the dynamic properties of magnetic vortices in small disks. Our calculations use a stochastic version of the Landau-Lifshitz-Gilbert (LLG) equation, valid for finite temperatures well below the…

介观与纳米尺度物理 · 物理学 2012-07-11 Tiago S. Machado , Tatiana G. Rappoport , Luiz C. Sampaio

We employ the Landau-Lifshitz-Bloch (LLB) equation to investigate current-induced domain wall motion at finite temperatures by numerical micromagnetic simulations. We extend the LLB equation with spin torque terms that account for the…

介观与纳米尺度物理 · 物理学 2009-09-29 C. Schieback , D. Hinzke , M. Klaui , U. Nowak , P. Nielaba

The dynamics of magnetisation in a bounded ferromagnet in $\mathbb{R}^d$ ($d=1,2$) at high temperatures can be described by the stochastic Landau--Lifshitz--Bloch (sLLB) equation, which is a vector-valued quasilinear stochastic partial…

数值分析 · 数学 2026-02-23 Agus L. Soenjaya

A multi-scale finite-temperature micromagnetic model is presented, based on the Landau-Lifshitz equation and the Bernoulli differential equation. This model accurately reproduces classic Maxwell magnetostatics of paramagnets for high…

材料科学 · 物理学 2026-05-29 R. Kiefe , J. S. Amaral
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