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   Articles with "landau lifshitz" as a keyword



Global Well‐Posedness of Landau–Lifshitz Flow With External Electromagnetic Field for Small Data in Three Dimensions

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recommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.10915

Abstract: The Landau–Lifshitz–Maxwell system is an important model in magnetic storage devices, where the magnetization is affected by external electromagnetic fields. In this article, we are interested in the special case of the coupled system, that… read more here.

Keywords: landau lifshitz; small data; well posedness; external electromagnetic ... See more keywords

Wong–Zakai approximation for the stochastic Landau–Lifshitz–Gilbert equations

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recommendations! Published in 2019 at "Journal of Differential Equations"

DOI: 10.1016/j.jde.2019.01.025

Abstract: Abstract In this work we study stochastic Landau–Lifshitz–Gilbert equations (SLLGEs) in one dimension, with non-zero exchange energy only. Firstly, by introducing a suitable transformation, we convert the SLLGEs to a highly nonlinear time dependent partial… read more here.

Keywords: landau lifshitz; approximation; gilbert equations; stochastic landau ... See more keywords

Wong-Zakai approximation for the stochastic Landau-Lifshitz-Gilbert equations with anisotropy energy

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recommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2019.123384

Abstract: Abstract The stochastic Landau-Lifshitz-Gilbert equations (SLLGEs) describe the behaviour of the magnetisation under the influence of the randomly fluctuating effective field. In this work, we consider the SLLGEs in one space dimension in the presence… read more here.

Keywords: landau lifshitz; gilbert equations; stochastic landau; anisotropy energy ... See more keywords
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Pseudo-symplectic numerical schemes for Landau-Lifshitz dynamics

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recommendations! Published in 2018 at "Physica B: Condensed Matter"

DOI: 10.1016/j.physb.2017.10.067

Abstract: Abstract Numerical techniques for the time integration of Landau-Lifshitz magnetization dynamics are considered. In the continuous model, such dynamics implies the conservation of magnetization amplitude and, when dissipation is neglected, even the conservation of free… read more here.

Keywords: schemes landau; landau lifshitz; numerical schemes; symplectic numerical ... See more keywords

Adaptively time stepping the stochastic Landau-Lifshitz-Gilbert equation at nonzero temperature: Implementation and validation in MuMax3

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recommendations! Published in 2017 at "AIP Advances"

DOI: 10.1063/1.5003957

Abstract: Thermal fluctuations play an increasingly important role in micromagnetic research relevant for various biomedical and other technological applications. Until now, it was deemed necessary to use a time stepping algorithm with a fixed time step… read more here.

Keywords: lifshitz gilbert; stochastic landau; landau lifshitz; time ... See more keywords

Well-posedness and finite element approximation for the Landau–Lifshitz–Gilbert equation with spin torques

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recommendations! Published in 2024 at "Applicable Analysis"

DOI: 10.1080/00036811.2024.2437787

Abstract: Spin currents act on ferromagnets by exerting a torque on the magnetisation. This torque is modelled by appending additional terms to the Landau–Lifshitz–Gilbert equation motivating the study of the non-homogeneous Landau–Lifshitz–Gilbert equation. We first prove… read more here.

Keywords: equation; gilbert equation; landau lifshitz; lifshitz gilbert ... See more keywords

The ergodicity and uniform large deviations for the 1D stochastic Landau-Lifshitz-Bloch equation

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recommendations! Published in 2024 at "Stochastic Analysis and Applications"

DOI: 10.1080/07362994.2024.2399081

Abstract: Abstract In this article, we consider two aspects asymptotic behaviors for the 1D stochastic Landau-Lifshitz-Bloch equation driven by additive noise including the unique ergodicity and the uniform large deviations. Using a deterministic argument relying on… read more here.

Keywords: stochastic landau; landau lifshitz; lifshitz bloch; ergodicity ... See more keywords

Nonlinear steepest descent on a torus: a case study of the Landau–Lifshitz equation

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recommendations! Published in 2024 at "Nonlinearity"

DOI: 10.1088/1361-6544/adbe22

Abstract: We obtain rigorous large time asymptotics for the Landau–Lifshitz (LL) equation in the soliton free case by extending the nonlinear steepest descent method to genus 1 surfaces. The methods presented in this paper pave the… read more here.

Keywords: landau lifshitz; nonlinear steepest; lifshitz equation; case ... See more keywords

From the open generalized Heisenberg model to the Landau–Lifshitz equation

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recommendations! Published in 2020 at "New Journal of Physics"

DOI: 10.1088/1367-2630/abbbd3

Abstract: Magnetic systems can be described by the classical Landau-Lifshitz (LL) equation or the fully quantum open Heisenberg model. Using the Lindblad master equation and the mean-field approximation, we demonstrate that the open Heisenberg model is… read more here.

Keywords: landau lifshitz; lifshitz equation; heisenberg model; model ... See more keywords

Landau–Lifshitz damping from Lindbladian dissipation in quantum magnets

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recommendations! Published in 2024 at "New Journal of Physics"

DOI: 10.1088/1367-2630/ae115c

Abstract: As of now, the phenomenological classical Landau–Lifshitz (LL) damping of magnetic order is linked to a quantum theory of dissipation of Lindbladian form only in sophisticated systems via complicated calculations in certain limits. This is… read more here.

Keywords: landau lifshitz; lifshitz damping; lindbladian dissipation; dissipation quantum ... See more keywords

Magnetization dynamics in holographic ferromagnets: Landau-Lifshitz equation from Yang-Mills fields

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recommendations! Published in 2019 at "Physical Review D"

DOI: 10.1103/physrevd.100.106012

Abstract: 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 the dual gravitational… read more here.

Keywords: landau lifshitz; lifshitz equation; magnetization; ferromagnets landau ... See more keywords