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Related papers: Quantum Brownian Motion for Magnets

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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

Experiments in spintronics and magnonics operate with macroscopically large number of localized spins within ferromagnetic (F) or antiferromagnetic (AF) materials, so that their nonequilibrium dynamics is standardly described by the…

Strongly Correlated Electrons · Physics 2021-12-03 Priyanka Mondal , Abhin Suresh , Branislav K. Nikolic

We construct a path-integral representation of the generating functional for the dissipative dynamics of a classical magnetic moment as described by the stochastic generalization of the Landau-Lifshitz-Gilbert equation proposed by Brown,…

Currently, simulations of many-body quantum systems are known to be computationally too demanding to be solved on classical computers. The main problem is that the computation time and memory necessary for performing the calculations…

Materials Science · Physics 2021-08-04 Yadhu Krishnan Edathumkandy , Dariusz Sztenkiel

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…

Statistical Mechanics · Physics 2009-10-31 D. A. Garanin

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…

Materials Science · Physics 2026-03-31 P. I. Gerevenkov , Ia. A. Filatov , L. A. Shelukhin , P. A. Dvortsova , A. M. Kalashnikova

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 simple simulation model for analysing magnetic and frictional losses of magnetic nano-particles in viscous fluids subject to alternating magnetic fields. Assuming a particle size below the single-domain limit, we use a…

Atomic and Molecular Clusters · Physics 2023-03-01 Santiago Helbig , Claas Abert , Pedro A. Sánchez , Sofia S. Kantorovich , Dieter Suess

Energy dissipation via spin excitations is investigated for a hard ferromagnetic tip scanning a soft magnetic monolayer. We use the classical Heisenberg model with Landau-Lifshitz-Gilbert (LLG)-dynamics including a stochastic field…

Other Condensed Matter · Physics 2009-08-03 Martin P. Magiera , Lothar Brendel , Dietrich E. Wolf , Ulrich Nowak

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,…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 M. -C. Ciornei , J. M. Rubí , J. -E. Wegrowe

The Bargmann-Michel-Telegdi equation, which describes the precession of the spin of a charged Dirac particle moving in a homogeneous electromagnetic field, is generalized to include also other homogeneous background fields. The treatment…

High Energy Physics - Phenomenology · Physics 2025-09-08 Yunhua Ding , Alan Kostelecky , Arnaldo J. Vargas

In this paper, we consider spin-diffusion Landau-Lifshitz-Gilbert equations (SDLLG), which consist of the time-dependent Landau-Lifshitz-Gilbert (LLG) equation coupled with a time-dependent diffusion equation for the electron spin…

Analysis of PDEs · Mathematics 2020-10-01 Giovanni Di Fratta , Ansgar Jüngel , Dirk Praetorius , Valeriy Slastikov

A keen interest towards technological implications of spin-orbit driven magnetization dynamics requests a proper theoretical description, especially in the context of a microscopic framework, to be developed. Indeed, magnetization dynamics…

Mesoscale and Nanoscale Physics · Physics 2018-11-22 Anastasiia A. Pervishko , Mikhail I. Baglai , Olle Eriksson , Dmitry Yudin

The shape of ferromagnetic resonance spectra of highly dispersed, chemically disordered Fe_{0.2}Pt_{0.8} nanospheres is perfectly described by the solution of the Landau-Lifshitz-Gilbert (LLG) equation excluding effects by crystalline…

Other Condensed Matter · Physics 2009-11-13 Jürgen Kötzler , Detlef Görlitz , Frank Wiekhorst

We present a non-Markovian theory of muon spin relaxation that treats the implanted muon as an open quantum spin coupled to a temporally correlated local magnetic environment. Using a Schwinger-Keldysh influence-functional formulation, we…

Materials Science · Physics 2026-04-28 Elvis F. Arguelles , Osamu Sugino

Motivated by questions about the open-system dynamics of topological quantum matter, we investigated the quantum Brownian motion of an electron in a homogeneous magnetic field. When the Fermi length $l_F=\hbar/(v_Fm_{\text{eff}})$ becomes…

Mesoscale and Nanoscale Physics · Physics 2016-06-21 Emilio Cobanera , Peter Kristel , Cristiane Morais Smith

We try to clarify what are the genuine quantal effects that are associated with generalized Brownian Motion (BM). All the quantal effects that are associated with the Zwanzig-Feynman-Vernon-Caldeira-Leggett model are (formally) a solution…

chao-dyn · Physics 2009-10-30 Doron Cohen

We study the stochastic dynamics of a two-dimensional magnetic moment embedded in a three-dimensional environment, described by means of the stochastic Landau-Lifshitz-Gilbert (sLLG) equation. We define a covariant generalization of this…

Statistical Mechanics · Physics 2018-08-29 Zochil González Arenas , Daniel G. Barci , Miguel Vera Moreno

To address the magnetization dynamics in ferromagnetic materials described by the Landau-Lifshitz-Gilbert equation under large damping parameters, a third-order accurate numerical scheme is developed by building upon a second-order method…

Numerical Analysis · Mathematics 2025-10-31 Changjian Xie , Cheng Wang

Strong rotating magnetic fields may cause a precession of the electron's spin around the rotation axis of the magnetic field. The superposition of two counterpropagating laser beams with circular polarization and opposite helicity features…

Quantum Physics · Physics 2014-10-17 Sven Ahrens , Heiko Bauke , Christoph H. Keitel , Rainer Grobe