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Using an effective Hamiltonian including the Zeeman and internal interactions, we describe the quantum theory of magnetization dynamics when the spin system evolves non-adiabatically and out of equilibrium. The Lewis-Riesenfeld dynamical…

Other Condensed Matter · Physics 2008-11-26 F. M. Saradzhev , F. C. Khanna , Sang Pyo Kim , M. de Montigny

The numerical approximation for the Landau-Lifshitz equation, the dynamics of magnetization in a ferromagnetic material, is taken into consideration. This highly nonlinear equation, with a non-convex constraint, has several equivalent…

Analysis of PDEs · Mathematics 2019-07-05 Jingrun Chen , Cheng Wang , Changjian Xie

We propose a novel model which efficiently describes the magnetization dynamics in a magnetic bilayer system. By applying a particular gauge transformation to the Landau-Lifshitz-Gilbert (LLG) equation, we successfully convert the model…

Mesoscale and Nanoscale Physics · Physics 2024-05-01 Xin-Wei Jin , Zhan-Ying Yang , Zhimin Liao , Guangyin Jing , Wen-Li Yang

Micromagnetic simulations based on the stochastic Landau-Lifshitz-Gilbert equation are used to calculate dynamic magnetic hysteresis loops relevant to magnetic hyperthermia. With the goal to effectively simulate room-temperature loops for…

Materials Science · Physics 2021-11-09 Razyeh Behbahani , Martin L. Plumer , Ivan Saika-Voivod

We implement a finite-element scheme that solves the Landau-Lifshitz-Gilbert equation coupled to a diffusion equation accounting for spin-polarized currents. The latter solves for the spin accumulation not only in magnetic materials but…

Computational Physics · Physics 2015-05-19 Claas Abert , Michele Ruggeri , Florian Bruckner , Christoph Vogler , Gino Hrkac , Dirk Praetorius , Dieter Suess

The (inverse) magnetostrictive effect in ferromagnets couples the magnetic properties to the mechanical stress, allowing for an interaction between the magnetic and mechanical degrees of freedom. In this work, we present a time-integration…

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

We study the magnetization dynamics of thin-film magnetic elements with in-plane magnetization subject to a spin-current flowing perpendicular to the film plane. We derive a reduced partial differential equation for the in-plane…

Mesoscale and Nanoscale Physics · Physics 2016-10-26 Ross G. Lund , Gabriel D. Chaves O'Flynn , Andrew D. Kent , Cyrill B. Muratov

In research activities regarding Magnetic Resonance Imaging in medicine, simulation tools with a universal approach are rare. Usually, simulators are developed and used which tend to be restricted to a particular, small range of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-05-30 Jürgen Kürsch

We introduce a new approach to understand magnetization dynamics in ferromagnets based on the holographic realization of ferromagnets. A Landau-Lifshitz equation describing the magnetization dynamics is derived from a Yang-Mills equation in…

High Energy Physics - Theory · Physics 2019-11-27 Naoto Yokoi , Koji Sato , Eiji Saitoh

Molecular simulations can provide microscopic insight into the physical and chemical driving forces of complex molecular processes. Despite continued advancement of simulation methodology, model errors may lead to inconsistencies between…

Chemical Physics · Physics 2016-02-12 Joseph F. Rudzinski , Kurt Kremer , Tristan Bereau

We report on spin atomistic calculations used to model static and dynamic magnetic properties of inhomogeneous ultrathin iron films. Active magnetic layers in next-generation spintronic devices are becoming so thin that they exhibit some…

A second order accurate, linear numerical method is analyzed for the Landau-Lifshitz equation with large damping parameters. This equation describes the dynamics of magnetization, with a non-convexity constraint of unit length of the…

Numerical Analysis · Mathematics 2021-11-16 Yongyong Cai , Jingrun Chen , Cheng Wang , Changjian Xie

(Anti)-/ferromagnetic Heisenberg spin models arise from discretization of Landau-Lifshitz models in micromagnetic modelling. In many applications it is essential to study the behavior of the system at a fixed temperature. A formulation for…

Numerical Analysis · Mathematics 2025-10-20 Teijo Arponen , Ben Leimkuhler

We present simulation results on the structure and dynamics of micromagnetic point singularities with atomistic resolution. This is achieved by embedding an atomistic computational region into a standard micromagnetic algorithm. Several…

Mesoscale and Nanoscale Physics · Physics 2014-04-09 Christian Andreas , Attila Kákay , Riccardo Hertel

Multiscale models allow for the treatment of complex phenomena involving different scales, such as remodeling and growth of tissues, muscular activation, and cardiac electrophysiology. Numerous numerical approaches have been developed to…

Numerical Analysis · Mathematics 2018-06-28 Marco Favino , Alessio Quaglino , Sonia Pozzi , Rolf Krause , Igor Pivkin

Magnetization dynamics in ferromagnetic materials is modeled by the Landau-Lifshitz (LL) equation, a nonlinear system of partial differential equations. Among the numerical approaches, semi-implicit schemes are widely used in the…

Numerical Analysis · Mathematics 2023-12-27 Yan Gui , Cheng Wang , Jingrun Chen

We demonstrate how micromagnetic simulations can be employed in order to characterize and analyze the magnetic microstructure of nanocomposites. For the example of nanocrystalline Nd$-$Fe$-$B, which is a potential material for future…

Materials Science · Physics 2018-04-04 Sergey Erokhin , Dmitry Berkov , Masaaki Ito , Akira Kato , Masao Yano , Andreas Michels

This research delves into the critical effects of magnetic interactions in low-dimensional systems, offering invaluable insights that deepen our comprehension of magnetic behavior at the nanoscale. By implementing this innovative approach,…

Mesoscale and Nanoscale Physics · Physics 2025-04-15 José Holanda

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