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

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0 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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0 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

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

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0 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

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

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0 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

Numerical simulations of critical dynamics in anisotropic magnetic films with the stochastic Landau-Lifshitz-Gilbert equation.

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0 Published in 2018 at "Physical Review E"

DOI: 10.1103/physreve.98.022126

Abstract: With the stochastic Landau-Lifshitz-Gilbert (sLLG) equation, critical dynamic behaviors far from equilibrium or stationary around the order-disorder and pinning-depinning phase transitions in anisotropic magnetic films are investigated. From the dynamic relaxation with and without an… read more here.

Keywords: lifshitz gilbert; stochastic landau; landau lifshitz; magnetic films ... See more keywords