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Nonexponential relaxation of magnetization at resonant tunneling points of nanoscale molecular magnets is interpreted to be an effect of fluctuating random field around the applied field. We demonstrate such relaxation in Langevin equation…

Materials Science · Physics 2009-10-31 Seiji Miyashita , Keiji Saito

We study the dynamics of the Landau--Lifshitz--Gilbert equation with the Dzyaloshinskii--Moriya interaction. The equation admits a family of exact stationary solutions, referred to as helical states, which are periodic in one spatial…

Analysis of PDEs · Mathematics 2026-01-27 Ikkei Shimizu

The usefulness of modeling magnetocaloric materials expands from the understanding of their behavior to the prediction of new materials, playing a fundamental role in the optimization of their performance. In contrast with other areas of…

With decreasing particle size, different mechanisms dominate the thermally activated magnetization reversal in ferromagnetic particles. We investigate some of these mechanisms for the case of elongated, single-domain nanoparticles which we…

Statistical Mechanics · Physics 2007-05-23 D. Hinzke , U. Nowak

Within the lowest-order Born approximation, we calculate the exact dynamics of a single qubit in the presence of 1/f noise, without making any Markov approximation. We show that the non-Markovian qubit time-evolution exhibits asymmetries…

Mesoscale and Nanoscale Physics · Physics 2010-02-26 Guido Burkard

As of now, the phenomenological classical Landau-Lifshitz (LL) damping of magnetic order is not conceptually linked to the quantum theory of dissipation of the Lindbladian formalism which is unsatisfactory for the booming research on…

Strongly Correlated Electrons · Physics 2025-10-24 Götz S. Uhrig

The jump-noise is a phenomenological stochastic process used to model the thermal fluctuation of magnetization in nanomagnets. In this work, the large nucleation regime of jump-noise dynamics is studied, and its reversal time is…

Applied Physics · Physics 2019-03-27 Arun Parthasarathy , Shaloo Rakheja

All-optical switching of the magnetization in magnetic nanostructures by femtosecond circularly polarized laser pulses has been demonstrated in several systems. We present a Landau-Lifshitz-Lambda (LLL) model which describes the…

Optics · Physics 2020-11-23 Marco Menarini , Vitaliy Lomakin

The Landau-Lifshitz-Gilbert (LLG) equation is a fascinating nonlinear evolution equation both from mathematical and physical points of view. It is related to the dynamics of several important physical systems such as ferromagnets, vortex…

Pattern Formation and Solitons · Physics 2011-01-06 M. Lakshmanan

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 Landau--Lifshitz--Bloch equation (LLBE) describes the evolution of the magnetic spin field in ferromagnets at high temperatures. In this paper, we study the numerical approximation of the LLBE on bounded polytopal domains in…

Numerical Analysis · Mathematics 2026-02-17 Kim-Ngan Le , Agus L. Soenjaya , Thanh Tran

The deterministic Landau-Lifshitz-Gilbert equation has been used to investigate the nonlinear dynamics of magnetization and the specific loss power in magnetic nanoparticles with uniaxial anisotropy driven by a rotating magnetic field. We…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 J. Racz , P. F. de Chatel , I. A. Szabo , L. Szunyogh , I. Nandori

The effect of inertial spin dynamics is compared between ferromagnetic, antiferromagnetic and ferrimagnetic systems. The linear response to an oscillating external magnetic field is calculated within the framework of the inertial…

Materials Science · Physics 2021-04-16 Ritwik Mondal , Sebastian Großenbach , Levente Rózsa , Ulrich Nowak

The thermodynamic model of visco-elastic deformable magnetic materials at finite strains is formulated in a fully Eulerian way in rates. The Landau theory applies for ferro-to-para-magnetic phase transition, the gradient theory (leading…

Analysis of PDEs · Mathematics 2023-02-07 Tomáš Roubíček

We calculate the magnetization torque due to the spin polarization of the itinerant electrons by deriving the kinetic spin Bloch equations based on the $s$-$d$ model. We find that the first-order gradient of the magnetization inhomogeneity…

Materials Science · Physics 2011-02-15 K. Shen , G. Tatara , M. W. Wu

Nonlinear localized magnetic excitations in one dimensional magnonic crystal is investigated under periodic magntic field. The governing Landau-Lifshitz equation is transformed into variable coefficient nonlinear Schrodinger equation(VCNLS)…

Materials Science · Physics 2016-11-03 D. Giridharan , M. Daniel , P. Sabareesan

We discuss how a finite noise correlation time, which can arise through coupling to engineered nonthermal environments, affects the fluctuation-driven response in a superconductor above its critical temperature. Using the phenomenological…

Superconductivity · Physics 2026-02-11 V. Plastovets

In this paper, we propose a moment method to numerically solve the Vlasov equations using the framework of the NRxx method developed in [6, 8, 7] for the Boltzmann equation. Due to the same convection term of the Boltzmann equation and the…

Mathematical Physics · Physics 2012-09-05 Zhenning Cai , Ruo Li , Yanli Wang

We study the stochastic dynamics of a two-level quantum system interacting with a stochastic magnetic field, and a single frequency electromagnetic field, with and without making the rotating wave approximation (RWA). The transformation to…

Quantum Physics · Physics 2014-12-23 Y. B. Band

The Landau--Lifshitz equation describes the behaviour of magnetic domains in ferromagnetic structures. Recently such structures have been found to be favourable for storing digital data. Stability of magnetic domains is important for this.…

Analysis of PDEs · Mathematics 2017-08-28 Amenda Chow
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