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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 governing magnetization dynamics is written in terms of the amplitudes of normal modes associated with the micromagnetic system's appropriate ground state. This results in a system of nonlinear ordinary…

Other Condensed Matter · Physics 2022-01-19 S. Perna , F. Bruckner , C. Serpico , D. Suess , M. d'Aquino

Laser-induced demagnetization is theoretically studied by explicitly taking into account interactions among electrons, spins and lattice. Assuming that the demagnetization processes take place during the thermalization of the sub-systems,…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 A. Manchon , Q. Li , L. Xu , S. Zhang

Non-damped oscillations of the magnetization vector of a ferromagnetic system subject to a spin polarized current and an external magnetic field are studied theoretically by solving the Landau-Lifshitz-Gilbert equation. It is shown that the…

Materials Science · Physics 2007-05-23 P. M. Gorley , P. P. Horley , V. K. Dugaev , J. Barnas , V. R. Vieira

We study coupled non-linear parabolic equations for a fluid described by a material density and a temperature, both functions of space and time. In one dimension, we find some stationary solutions corresponding to fixing the temperature on…

Mathematical Physics · Physics 2007-05-23 R. F. Streater

We study the dynamics of a spin torque nano oscillator that consists of parallelly magnetized free and pinned layers by numerically solving the associated Landau-Lifshitz-Gilbert-Slonczewski equation in the presence of a field-like torque.…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 R. Arun , R. Gopal , V. K. Chandrasekar , M. Lakshmanan

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 optimal control of magnetization dynamics in a ferromagnetic sample at a microscopic scale is studied. The dynamics of this model is governed by the Landau-Lifshitz-Gilbert equation on a two-dimensional bounded domain with the external…

Optimization and Control · Mathematics 2023-09-07 Sidhartha Patnaik , Sakthivel Kumarasamy

We study dynamical and thermal effects that are induced in nanoparticle systems by a rotating magnetic field. Using the deterministic Landau-Lifshitz equation and appropriate rotating coordinate systems, we derive the equations that…

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

Recent experimental findings revealed an exceptionally diverse laser-induced spin dynamics tunable by magnetic field ($H$) and temperature ($T$) in ferrimagnetic Gd/FeCo multilayers, however the theoretical picture of these processes…

The Landau-Lifshitz equation is a coupled set of nonlinear partial differential equations that describes the dynamics of magnetization in a ferromagnet. This equation has an infinite number of stable equilibria. Steering the system from one…

Analysis of PDEs · Mathematics 2016-05-31 Amenda Chow , Kirsten A. Morris

A theoretical formula is derived for the threshold current to switch a perpendicular magnetization in a ferromagnet by the spin Hall effect. The numerical simulation of the Landau-Lifshitz-Gilbert equation indicates that magnetization…

Mesoscale and Nanoscale Physics · Physics 2019-11-20 Tomohiro Taniguchi

In this paper we are concerned with the stochastic Landau-Lifshitz-Slonczewski equation (LLS) that describes magnetisation of an inifnite nanowire evolving under current driven spin torque. The current brings into the system a…

Analysis of PDEs · Mathematics 2022-08-23 Beniamin Goldys , Chunxi Jiao , Kim Ngan Le

Magnetization dynamics is commonly described by the stochastic Landau-Lifshitz-Gilbert (LLG) equation. On picosecond timescales, inertial and open-system extensions of the LLG equation are necessary to interpret recent experiments. We show…

Statistical Mechanics · Physics 2026-02-20 Felix Hartmann , Finja Tietjen , R. Matthias Geilhufe , Janet Anders

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 study semiclassical dynamics of anisotropic Heisenberg models in two and three dimensions. Such models describe lattice spin systems and hard core bosons in optical lattices. We solve numerically Landau-Lifshitz type equations on a…

Quantum Gases · Physics 2012-02-01 E. Demler , A. Maltsev , A. Prokofiev

We study the effects of finite temperature on the dynamics of non-planar vortices in the classical, two-dimensional anisotropic Heisenberg model with XY- or easy-plane symmetry. To this end, we analyze a generalized Landau-Lifshitz equation…

We obtain the equations of motion for a ferromagnetic Bose condensate of arbitrary spin in the long wavelength limit. We find that the magnetization of the condensate is described by a non-trivial modification of the Landau-Lifshitz…

Other Condensed Matter · Physics 2009-11-13 Austen Lamacraft

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

The Landau-Lifshitz equation describes the time-evolution of magnetic dipoles, and can be derived by taking the classical limit of a quantum mechanical spin Hamiltonian. To take this limit, one constrains the many-body quantum state to a…

Strongly Correlated Electrons · Physics 2022-09-21 David Dahlbom , Hao Zhang , Cole Miles , Xiaojian Bai , Cristian D. Batista , Kipton Barros
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