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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

We present a systematic phenomenological description of Gilbert damping in two-sublattice magnets. Our theory covers the full range of materials from ferro- via ferri- to antiferromagnets. Following a Rayleigh dissipation functional…

Materials Science · Physics 2018-11-08 Akashdeep Kamra , Roberto E. Troncoso , Wolfgang Belzig , Arne Brataas

A density functional theory based two-terminal scattering formalism that includes spin-orbit coupling and spin non-collinearity is described. An implementation using tight-binding muffin-tin orbitals combined with extensive use of sparse…

Mesoscale and Nanoscale Physics · Physics 2018-06-15 Anton A. Starikov , Yi Liu , Zhe Yuan , Paul J. Kelly

We study the complex Ginzburg-Landau equation posed on possibly unbounded domains, including some singular and saturated nonlinear damping terms. This model interpolates between the nonlinear Schr{\"o}dinger equation and dissipative…

Analysis of PDEs · Mathematics 2026-04-17 Pascal Bégout , Jesús Ildefonso Díaz

A semiclassical method is used to study Landau damping of transverse pseudo-spin waves in harmonically trapped ultracold gases in the collisionless Boltzmann limit. In this approach, the time evolution of a spin is calculated numerically as…

Statistical Mechanics · Physics 2009-11-11 R. J. Ragan , W. J. Mullin , E. B. Wiita

We use spin-torque resonance to probe simultaneously and separately the dynamics of a magnetic domain wall and of magnetic domains in a nanostripe magnetic tunnel junction. Thanks to the large associated resistance variations we are able to…

We investigated the spin pumping damping contributed by paramagnetic layers (Pd, Pt) in both direct and indirect contact with ferromagnetic Ni$_{81}$Fe$_{19}$ films. We find a nearly linear dependence of the interface-related Gilbert…

Mesoscale and Nanoscale Physics · Physics 2016-07-19 M. Caminale , A. Ghosh , S. Auffret , U. Ebels , K. Ollefs , F. Wilhelm , A. Rogalev , W. E. Bailey

It is generally accepted that the effective magnetic field acting on a magnetic moment is given by the gradient of the energy with respect to the magnetization. However, in ab initio spin dynamics within the adiabatic approximation, the…

Mechanical sources of nonlinear damping play a central role in modern physics, from solid-state physics to thermodynamics. The microscopic theory of mechanical dissipation [M. I . Dykman, M. A. Krivoglaz, Physica Status Solidi (b) 68, 111…

Mesoscale and Nanoscale Physics · Physics 2020-07-09 Ata Keşkekler , Oriel Shoshani , Martin Lee , Herre S. J. van der Zant , Peter G. Steeneken , Farbod Alijani

Magnetic systems can exhibit thermally activated transitions whose timescales are often described by an Arrhenius law. However, robust predictions of such timescales are only available for certain cases. Inspired by the harmonic theory of…

Mesoscale and Nanoscale Physics · Physics 2025-04-02 Hugo Bocquet , Peter M. Derlet

Nonlinear damping, the change in damping rate with the amplitude of oscillations plays an important role in many electrical, mechanical and even biological oscillators. In novel technologies such as carbon nanotubes, graphene membranes or…

Spin-orbit torques promise ultra-efficient magnetization switching used for advanced devices based on emergent quasi-particles such as domain walls and skyrmions. Recently, the spin structure dynamics, materials and systems with tailored…

We study the quantum propagation of a Skyrmion in chiral magnetic insulators by generalizing the micromagnetic equations of motion to a finite-temperature path integral formalism, using field theoretic tools. Promoting the center of the…

Mesoscale and Nanoscale Physics · Physics 2017-12-05 Christina Psaroudaki , Silas Hoffman , Jelena Klinovaja , Daniel Loss

Very-high energy gamma-rays from extragalactic sources pair-produce off of the extragalactic background light, yielding an electron-positron pair beam. This pair beam is unstable to various plasma instabilities, especially the "oblique"…

High Energy Astrophysical Phenomena · Physics 2015-06-23 Philip Chang , Avery E. Broderick , Christoph Pfrommer , Ewald Puchwein , Astrid Lamberts , Mohamad Shalaby

The magnetization dynamics of ferromagnets are often formulated in terms of the Landau-Lifshitz-Gilbert (LLG) equation. The reactive part of this equation describes the response of the magnetization in terms of effective fields, whereas the…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Arne Brataas , Yaroslav Tserkovnyak , Gerrit E. W. Bauer

The role of fluctuation-dissipation relations (theorems) for the magnetization dynamics with Landau-Lifshitz-Gilbert and Bloch-Bloembergen damping terms are discussed. We demonstrate that the use of the Callen-Welton fluctuation-dissipation…

Statistical Mechanics · Physics 2009-11-11 Vladimir L. Safonov , H. Neal Bertram

We investigate the numerical approximation to the Euler-Bernoulli (E-B) beams and plates with nonlinear nonlocal strong damping, which describes the damped mechanical behavior of beams and plates in real applications. We discretize the…

Numerical Analysis · Mathematics 2025-05-06 Tao Guo , Yiqun Li , Wenlin Qiu

Optimal damping aims at determining a vector of damping coefficients $\nu$ that maximizes the decay rate of a mechanical system's response. This problem can be formulated as the minimization of the trace of the solution of a Lyapunov…

Numerical Analysis · Mathematics 2026-01-12 Qingna Li , Françoise Tisseur

Spin waves propagating in magnetic materials exhibit nonlinear behavior at large amplitudes due to the competition between excitation and relaxation, providing an attractive platform for exploring nonlinear wave dynamics. In particular,…

Precessing magnetization in a thin film magnetic insulator pumps spins into adjacent metals; however, this phenomenon is not quantitatively understood. We present a theory for the dependence of spin-pumping on the transverse mode number and…

Mesoscale and Nanoscale Physics · Physics 2013-08-29 André Kapelrud , Arne Brataas