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Related papers: Spin-diffusion model for micromagnetics in the lim…

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Based on quantum-kinetic equations, coupled spin-charge drift-diffusion equations are derived for a two-dimensional electron gas on a cylindrical surface. Besides the Rashba and Dresselhaus spin-orbit interaction, the elastic scattering on…

Materials Science · Physics 2008-08-04 P. Kleinert

Thermal fluctuations of nanomagnets driven by spin-polarized currents are treated via the Landau-Lifshitz-Gilbert equation as generalized to include both the random thermal noise field and Slonczewski spin-transfer torque terms. The…

Statistical Mechanics · Physics 2017-09-26 Y. P. Kalmykov , D. Byrne , W. T. Coffey , W. J. Dowling , S. V. Titov , J. E. Wegrowe

We show convergence rates for a sparse grid approximation of the distribution of solutions of the stochastic Landau-Lifshitz-Gilbert equation. Beyond being a frequently studied equation in engineering and physics, the stochastic…

Numerical Analysis · Mathematics 2025-06-02 Xin An , Josef Dick , Michael Feischl , Andrea Scaglioni , Thanh Tran

The origin of the suppression of the longitudinal spin Seebeck effect by applied magnetic fields is studied. We perform numerical simulations of the stochastic Landau-Lifshitz-Gilbert equation of motion for an atomistic spin model and…

Materials Science · Physics 2016-05-16 Ulrike Ritzmann , Denise Hinzke , Andreas Kehlberger , Er-Jia Guo , Mathias Kläui , Ulrich Nowak

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

This article addresses a problem of micromagnetics: the reversal of magnetic moments in layered spring magnets. A one-dimensional model is used of a film consisting of several atomic layers of a soft material on top of several atomic layers…

Dynamical Systems · Mathematics 2025-10-20 J. Samuel Jiang , Hans G. Kaper , Gary K. Leaf

Using the Landau-Lifshitz-Bloch (LLB) equation for ferromagnetic materials, we derive analytic expressions for temperature dependent absorption spectra as probed by ferromagnetic resonance (FMR). By analysing the resulting expressions, we…

Materials Science · Physics 2014-09-04 Thomas A. Ostler , Matthew O. A. Ellis , Denise Hinzke , Ulrich Nowak

This paper presents the boundary conditions needed for drift-diffusion models to treat interfaces with spin-orbit coupling. Using these boundary conditions for heavy metal/ferromagnet bilayers, solutions of the drift-diffusion equations…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 V. P. Amin , M. D. Stiles

The spatiotemporal structure formation problem is investigated in the region far above the transverse ferromagnetic resonance instability. The investigations are based on the dissipative Landau-Lifshitz equation and have been performed on a…

Pattern Formation and Solitons · Physics 2007-05-23 K. Mayes , T. Plefka , H. Sauermann

We extend to the longitudinal component of the magnetization the spintronics idea that a magnet near equilibrium can be described by two magnetic variables. One is the usual magnetization $\vec{M}$. The other is the non-equilibrium quantity…

Mesoscale and Nanoscale Physics · Physics 2022-06-06 Wayne M. Saslow , Chen Sun , Shenglong Xu

This paper is devoted to the hydrodynamic limit for the linear Boltzmann equation, in the case of a heavy tail equilibrium and a cross section which depends on the space variable and which degenerates for large velocities, without symmetry…

Analysis of PDEs · Mathematics 2025-03-13 Dahmane Dechicha

The motion of simple domain walls and of more complex magnetic textures in the presence of a transport current is described by the Landau-Lifshitz-Slonczewski (LLS) equations. Predictions of the LLS equations depend sensitively on the ratio…

Materials Science · Physics 2010-04-28 Ion Garate , K. Gilmore , M. D. Stiles , A. H. MacDonald

Starting from a model that consists of a semiclassical spin coupled to two leads we present a microscopic derivation of the Langevin equation for the direction of the spin. For slowly-changing direction it takes on the form of the…

Mesoscale and Nanoscale Physics · Physics 2008-02-04 A. S. Nunez , R. A. Duine

Spin transport properties at finite electric and magnetic fields are studied by using the generalized semiclassical Boltzmann equation. It is found that the spin diffusion equation for non-equilibrium spin density and spin currents involves…

Materials Science · Physics 2009-11-07 Y. Qi , S. Zhang

Based on the solution of the stochastic Landau-Lifshitz-Gilbert equation discretized for a ferromagnetic chain subject to a uniform temperature gradient, we present a detailed numerical study of the spin dynamics with a focus particularly…

Materials Science · Physics 2014-07-15 S. R. Etesami , L. Chotorlishvili , A. Sukhov , J. Berakdar

Efficient numerical methods are required for the design of optimised devices. In magnonics, the primary computational tool is micromagnetic simulations, which solve the Landau-Lifshitz equation discretised in time and space. However, their…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 Wojciech Śmigaj , Krzysztof Sobucki , Paweł Gruszecki , Maciej Krawczyk

In this paper we study the Hamiltonian dynamics of charged particles subject to a non-self-consistent stochastic electric field, when the plasma is in the so-called weak turbulent regime. We show that the asymptotic limit of the Vlasov…

Analysis of PDEs · Mathematics 2021-10-13 Claude Bardos , Nicolas Besse

It is shown that the diagrammatic cluster expansion technique for equilibrium averages of spin operators may be straightforwardly extended to the calculation of time-dependent correlation functions of spin operators. We use this technique…

Statistical Mechanics · Physics 2007-05-23 Daniel Greenbaum

We present a new method to solve the dynamics of disordered spin systems on finite time-scales. It involves a closed driven diffusion equation for the joint spin-field distribution, with time-dependent coefficients described by a dynamical…

Condensed Matter · Physics 2009-10-28 A. C. C. Coolen , S. N. Laughton , D. Sherrington

The magnetization dynamics of a single domain ferromagnet in contact with a thermal bath is studied by scattering theory. We recover the Landau-Liftshitz-Gilbert equation and express the effective fields and Gilbert damping tensor in terms…

Mesoscale and Nanoscale Physics · Physics 2008-08-01 Arne Brataas , Yaroslav Tserkovnyak , Gerrit E. W. Bauer
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