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Recent experimental and theoretical studies show that the switching behavior of magnetic nanoparticles can be well controlled by external time-dependent magnetic fields. In this work, we inspect theoretically the influence of the…

Other Condensed Matter · Physics 2013-09-18 Alexander Sukhov , Jamal Berakdar

The longitudinal relaxation time of the magnetization of a system of two exchange coupled spins subjected to a strong magnetic field is calculated exactly by averaging the stochastic Gilbert-Landau-Lifshitz equation for the magnetization,…

Statistical Mechanics · Physics 2009-11-11 S. V. Titov , H. Kachkachi , Yu. P. Kalmykov , W. T. Coffey

Thermal fluctuations of nanomagnets driven by spin-polarized currents are treated via the Landau-Lifshitz-Gilbert equation generalized to include both the random thermal noise field and the Slonczewski spin-transfer torque term. By…

Statistical Mechanics · Physics 2013-10-09 Y. P. Kalmykov , W. T. Coffey , S. V. Titov , J. E. Wegrowe , D. Byrne

Ferromagnetic resonance in thin films is analyzed under the influence of spatiotemporal feedback effects. The equation of motion for the magnetization dynamics is nonlocal in both space and time and includes isotropic, anisotropic and…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Thomas Bose , Steffen Trimper

We present numerical and analytical results for the swiching times of magnetic nanoparticles with uniaxial anisotropy at elevated temperatures, including the vicinity of T_c. The consideration is based in the Landau-Lifshitz-Bloch equation…

Statistical Mechanics · Physics 2007-05-23 D. A. Garanin , O. Chubykalo-Fesenko

Irradiating a ferromagnetic material with an ultrashort laser pulse leads to demagnetization on a femtosecond timescale. We implement Elliott-Yafet type spin-flip scattering, mediated by electron-electron and electron-phonon collisions,…

Materials Science · Physics 2011-08-29 Benedikt Y. Mueller , T. Roth , M. Cinchetti , M. Aeschlimann , B. Rethfeld

A mathematical model describing the capture of nonlinear systems into the autoresonance by a combined parametric and external periodic slowly varying perturbation is considered. The autoresonance phenomenon is associated with solutions…

Dynamical Systems · Mathematics 2023-09-26 Oskar Sultanov

Large-amplitude magnetization dynamics is substantially more complex compared to the low-amplitude linear regime, due to the inevitable emergence of nonlinearities. One of the fundamental nonlinear phenomena is the nonlinear damping…

Mesoscale and Nanoscale Physics · Physics 2019-11-22 Boris Divinskiy , Sergei Urazhdin , Sergej O. Demokritov , Vladislav E. Demidov

The dynamics of the magnetic distribution in a ferromagnetic material is governed by the Landau-Lifshitz equation, which is a nonlinear geometric dispersive equation with a nonconvex constraint that requires the magnetization to remain of…

Numerical Analysis · Mathematics 2018-07-17 Eugenia Kim , Jon Wilkening

We investigate the magnetization reversal of single-domain magnetic nanoparticle driven by linear down-chirp microwave magnetic field pulse. Numerical simulations based on the Landau-Lifshitz-Gilbert equation reveal that solely down-chirp…

Mesoscale and Nanoscale Physics · Physics 2018-06-20 M. T. Islam , X. S. Wang , Y. Zhang , X. R. Wang

We demonstrate the use of the magnetic-field-dependence of highly spatially confined, GHz-frequency ferromagnetic resonances in a ferromagnetic nanostructure for the detection of adsorbed magnetic nanoparticles. This is achieved in a large…

Effect of an external magnetic field on the critical sound attenuation and velocity of the longitudinal wave is studied in ferromagnets. We derive a parametric model that incorporates a crossover from the asymptotic critical behavior to the…

Statistical Mechanics · Physics 2023-11-20 A. Pawlak

The Landau-Lifshitz-Gilbert equation for rigid and saturated ferromagnets is derived using a two-continuum model constructed by H.F. Tiersten for elastic and saturated ferromagnets. The relevant basic laws of physics are applied…

Materials Science · Physics 2023-05-30 Jiashi Yang

The theory of localized spin-wave excitations in random-anisotropy magnets has been developed. Starting with a pure Heisenberg ferromagnet, we study the evolution of standing spin waves in a finite-size sample towards localized modes on…

Disordered Systems and Neural Networks · Physics 2023-04-11 D. A. Garanin , E. M. Chudnovsky

Micromagnetics depends on high-fidelity numerical methods for magnetization dynamics. This work proposes a third-order temporal accuracy scheme for the Landau-Lifshitz-Gilbert equation, addressing accuracy-efficiency trade-offs in existing…

Mathematical Physics · Physics 2025-11-17 Changjian Xie , Cheng Wang

We report a numerical implementation of the Landau-Lifshitz-Baryakhtar theory, which dictates that the micromagnetic relaxation term obeys the symmetry of the magnetic crystal, i. e. replacing the single intrinsic damping constant with a…

Mesoscale and Nanoscale Physics · Physics 2014-02-17 Mykola Dvornik , Arne Vansteenkiste , Bartel Van Waeyenberge

We show that the dynamic magnetization at the edges of a thin magnetic element with finite lateral size can be described by new effective boundary conditions that take into account inhomogeneous demagnetizing fields near the element edges.…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 K. Yu. Guslienko , A. N. Slavin

Theoretical conditions to excite self-oscillation in a spin torque oscillator consisting of a perpendicularly magnetized free layer and an in-plane magnetized pinned layer are investigated by analytically solving the Landau-Lifshitz-Gilbert…

Mesoscale and Nanoscale Physics · Physics 2015-08-05 Tomohiro Taniguchi , Takahiro Ito , Yasuhiro Utsumi , Sumito Tsunegi , Hitoshi Kubota

The precession and damping of a collinear magnetization displaced from its equilibrium are described by the Landau-Lifshitz-Gilbert equation. For a noncollinear magnetization, it is not known how the damping should be described. We use…

Materials Science · Physics 2015-02-09 Zhe Yuan , Kjetil M. D. Hals , Yi Liu , Anton A. Starikov , Arne Brataas , Paul J. Kelly

It is of common knowledge that the direction of easy axis in the finite-size ferromagnetic sample is controlled by its shape. In the present paper we show that a similar phenomenon should be observed in the compensated antiferromagnets with…

Statistical Mechanics · Physics 2010-03-16 Helen V. Gomonay , Vadim M. Loktev
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