Wong–Zakai approximation for the stochastic Landau–Lifshitz–Gilbert equations
Sign Up to like & getrecommendations! 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
Sign Up to like & getrecommendations! 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
Pseudo-symplectic numerical schemes for Landau-Lifshitz dynamics
Sign Up to like & getrecommendations! 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
Sign Up to like & getrecommendations! 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
From the open generalized Heisenberg model to the Landau–Lifshitz equation
Sign Up to like & getrecommendations! 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
Magnetization dynamics in holographic ferromagnets: Landau-Lifshitz equation from Yang-Mills fields
Sign Up to like & getrecommendations! 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
Numerical simulations of critical dynamics in anisotropic magnetic films with the stochastic Landau-Lifshitz-Gilbert equation.
Sign Up to like & getrecommendations! 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