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We analyze the Landau-Lifshitz-Gilbert equation when the precession motion of the magnetic moments is additionally subjected to an uniaxial anisotropy and is driven by a multiplicative coupled stochastic field with a finite correlation time…

介观与纳米尺度物理 · 物理学 2015-05-18 Thomas Bose , Steffen Trimper

The dynamical equation of the magnetization has been reconsidered with enlarging the phase space of the ferromagnetic degrees of freedom to the angular momentum. The generalized Landau-Lifshitz-Gilbert equation that includes inertial terms,…

介观与纳米尺度物理 · 物理学 2015-05-19 M. -C. Ciornei , J. M. Rubí , J. -E. Wegrowe

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

The conventional Landau-Lifshitz-Gilbert (LLG) equation is a widely used tool to describe dynamics of local magnetic moments, viewed as classical vectors of fixed length, with their change assumed to take place simultaneously with the…

介观与纳米尺度物理 · 物理学 2019-04-10 Utkarsh Bajpai , Branislav K. Nikolic

We investigate in details the inertial dynamics of a uniform magnetization in the ferromagnetic resonance (FMR) context. Analytical predictions and numerical simulations of the complete equations within the Inertial Landau-Lifshitz-Gilbert…

材料科学 · 物理学 2014-12-12 E. Olive , Y. Lansac , M. Meyer , M. Hayoun , J. -E. Wegrowe

The Landau-Lifshitz-Gilbert (LLG) equation, used to model magneto-dynamics in ferromagnets, tacitly assumes that the angular momentum associated with spin precession can relax instantaneously when the real or effective magnetic field…

介观与纳米尺度物理 · 物理学 2021-07-20 Rahnuma Rahman , Supriyo Bandyopadhyay

The dynamics of a magnetic moment or spin are of high interest to applications in technology. Dissipation in these systems is therefore of importance for improvement of efficiency of devices, such as the ones proposed in spintronics. A…

介观与纳米尺度物理 · 物理学 2023-08-29 Robin C. Verstraten , Tim Ludwig , Rembert A. Duine , Cristiane Morais Smith

The Landau-Lifshitz-Gilbert damping coefficient employed in the analysis of spin wave ferromagnetic resonance is related to the electrical conductivity of the sample. The changing magnetization (with time) radiates electromagnetic fields.…

统计力学 · 物理学 2007-05-23 S. Sivasubramanian , A. Widom , Y. N. Srivastava

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 Landau-Lifshitz (L-L) equation describing the time dependence of the magnetisation vector is numerically integrated fully without any simplifying assumptions in the time domain and the magnetisation time series obtained is Fourier…

材料科学 · 物理学 2009-09-25 C. Tannous , A. Fessant , J. Gieraltowski , J. P. Jay , D. Spenato , J. Langlois , H. Le Gall

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…

材料科学 · 物理学 2009-10-30 Ya. B. Bazaliy , B. A. Jones , Shou-Cheng Zhang

The effect of inertial spin dynamics is compared between ferromagnetic, antiferromagnetic and ferrimagnetic systems. The linear response to an oscillating external magnetic field is calculated within the framework of the inertial…

材料科学 · 物理学 2021-04-16 Ritwik Mondal , Sebastian Großenbach , Levente Rózsa , Ulrich Nowak

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…

材料科学 · 物理学 2011-02-15 K. Shen , G. Tatara , M. W. Wu

Spin relaxation in the ultrathin metallic films of stacked microelectronic devices is investigated on the basis of a modified Landau-Lifshitz equation of micromagnetic dynamics in which the damping torque is treated as originating from the…

材料科学 · 物理学 2012-10-22 Sergey Bastrukov , Jun Yong Khoo , Boris Lukiyanchuk , Irina Molodtsova

Laser-induced magnetization precession measurements in ferromagnets often reveal an anomalous decrease in the damping time near a field-induced second-order spin-orientation transition, a behavior that cannot be described by the linearized…

The Landau-Lifshitz-Gilbert (LLG) equation that describes the dynamics of a macroscopic magnetic moment finds its limit of validity at very short times. The reason for this limit is well understood in terms of separation of the…

介观与纳米尺度物理 · 物理学 2016-03-23 Jean-Eric Wegrowe , Enrick Olive

A phenomenological equation called Landau-Lifshitz-Baryakhtar (LLBar) equation, which could be viewed as the combination of Landau-Lifshitz (LL) equation and an extra "exchange damping" term, was derived by Baryakhtar using Onsager's…

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,…

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…

最优化与控制 · 数学 2025-12-22 Sidhartha Patnaik , Kumarasamy Sakthivel

We propose a stochastic approach for the description of the time evolution of the magnetization of nanomagnets, that interpolates between the Landau--Lifshitz--Gilbert and the Landau--Lifshitz--Bloch approximations, by varying the strength…

统计力学 · 物理学 2016-07-07 Julien Tranchida , Pascal Thibaudeau , Stam Nicolis
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