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An implementation of the fast multiple method (FMM) is performed for magnetic systems with long-ranged dipolar interactions. Expansion in spherical harmonics of the original FMM is replaced by expansion of polynomials in Cartesian…

Computational Physics · Physics 2015-05-13 Wen Zhang , Stephan Haas

The imaging of magneto-dynamical processes has been, so far, mostly a two-dimensional business, due to the constraints of the available experimental techniques. In this manuscript, building on the recent developments of soft X-ray magnetic…

Mesoscale and Nanoscale Physics · Physics 2026-02-02 Simone Finizio , Claire Donnelly , Sina Mayr , Ales Hrabec , Jörg Raabe

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…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Jean-Eric Wegrowe , Enrick Olive

This paper focuses on regularisation methods using models up to the third order to search for up to second-order critical points of a finite-sum minimisation problem. The variant presented belongs to the framework of [3]: it employs random…

Numerical Analysis · Mathematics 2021-04-05 Stefania Bellavia , Gianmarco Gurioli , Benedetta Morini , Philippe L. Toint

We present a new algorithm for numerical magnetohydrodynamics on staggered meshes preserving $\nabla \cdot B = 0$. Our algorithm is based on the constrained transport method and supports both cell-based adaptive mesh refinement and temporal…

Space Physics · Physics 2025-12-15 Ilja Honkonen , Riku Jarvinen , David Phillips

A new methodology for micromagnetic simulations of magnetic nanocomposites is presented. The methodology is especially suitable for simulations of two-phase composites consisting of magnetically hard inclusions in a soft magnetic matrix…

Mesoscale and Nanoscale Physics · Physics 2011-09-20 Sergey Erokhin , Dmitry Berkov , Nataliya Gorn , Andreas Michels

We developed a micromagnetic method for modeling magnetic systems with periodic boundary conditions along an arbitrary number of dimensions. The main feature is an adaptation of the Ewald summation technique for evaluation of long-range…

Mesoscale and Nanoscale Physics · Physics 2015-10-30 Aleksander L. Wysocki , Vladimir P. Antropov

We review recent advances in machine-learning (ML) force-field methods for large-scale Landau-Lifshitz-Gilbert (LLG) simulations of metallic spin systems. We generalize the Behler-Parrinello (BP) ML architecture -- originally developed for…

Strongly Correlated Electrons · Physics 2026-04-14 Gia-Wei Chern , Yunhao Fan , Sheng Zhang , Puhan Zhang

By means of the recently proposed algorithm based on the tensor product states, the magnetization process of the spin-1/2 anti-ferromagnetic XXZ model on a square lattice is investigated. In the large spin-anisotropy limit, clear evidence…

Strongly Correlated Electrons · Physics 2009-10-05 Pochung Chen , Chen-Yen Lai , Min-Fong Yang

A non-conventional finite element formalism is proposed to solve the dynamic Landau-Lifshitz-Gilbert micromagnetic equations. Two bidimensional test problems are treated to estimate the validity and the accuracy of this finite element…

Magnetization processes of the spin-1/2 antiferromagnetic $XXZ$ model in two and three spatial dimensions are studied using quantum Monte Carlo method based on stochastic series expansions. Recently developed operator-loop algorithm enables…

Strongly Correlated Electrons · Physics 2009-11-07 Seiji Yunoki

An essential property of magnetic devices is the relaxation rate in magnetic switching which depends strongly on the damping in the magnetisation dynamics. It was recently measured that damping depends on the magnetic texture and,…

Materials Science · Physics 2018-01-10 Danny Thonig , Yaroslav Kvashnin , Olle Eriksson , Manuel Pereiro

Using the invariant operator method for an effective Hamiltonian including the radiation-spin interaction, we describe the quantum theory for magnetization dynamics when the spin system evolves nonadiabatically and out of equilibrium, $d…

Other Condensed Matter · Physics 2007-05-23 Jeongwon Ho , B. C. Choi , F. C. Khanna , Sang Pyo Kim

Recently observed scaling in the random-anisotropy model of amorphous or sintered ferromagnets is derived by an alternative method and extended for studying the dynamical properties in terms of the Landau-Lifshitz equations for spin blocks.…

Disordered Systems and Neural Networks · Physics 2025-02-14 Dmitry A. Garanin , Eugene M. Chudnovsky

Finite difference based micromagnetic simulations are a powerful tool for the computational investigation of magnetic structures. In this paper, we demonstrate how the discretization of continuous micromagnetic equations introduces a…

Materials Science · Physics 2024-12-17 Samuel J. R. Holt , Andrea Petrocchi , Martin Lang , Swapneel A. Pathak , Hans Fangohr

Full 3D modelling of time-domain electromagnetic data requires tremendous computational resources. Consequently, simplified physics models prevail in geophysics, using a much faster but approximate (1D) forward model. We propose to join the…

Computational Physics · Physics 2024-09-02 Wouter Deleersnyder , Evert Slob

We investigate supercurrent-induced magnetization dynamics in a Josephson junction with two misaligned ferromagnetic layers, and demonstrate a variety of effects by solving numerically the Landau-Lifshitz-Gilbert equation. In particular, we…

Superconductivity · Physics 2015-05-19 Jacob Linder , Takehito Yokoyama

We present thermodynamic phase diagrams showing magnetic analog of "three states of matter," namely, spin liquid, paramagnetic, and magnetically ordered phases, obtained by unbiased quantum Monte Carlo simulations. Our simulations are…

Strongly Correlated Electrons · Physics 2015-09-30 Yoshitomo Kamiya , Yasuyuki Kato , Joji Nasu , Yukitoshi Motome

For the simulations of unsteady flow, the global time step becomes really small with a large variation of local cell size. In this paper, an implicit high-order gas-kinetic scheme (HGKS) is developed to remove the restrictions on the time…

Numerical Analysis · Mathematics 2024-03-04 Yaqing Yang , Liang Pan , Kun Xu

Novel time-resolved imaging techniques for the investigation of ultrafast nanoscale magnetization dynamics are indispensable for further developments in light-controlled magnetism. Here, we introduce femtosecond Lorentz microscopy,…