Geometrical integration of Landau–Lifshitz–Gilbert equation based on the mid-point rule

d’Aquino, M.; Serpico, C.; Miano, G.

doi:10.1016/j.jcp.2005.04.001

Cited by 114 publications

(80 citation statements)

References 39 publications

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“…The basis of the scheme is the implicit midpoint scheme as given in Ref. 29. However, to reduce the computational effort, an approximation is made in predictor-corrector style:…”

Section: Fig 1 (Color Online)mentioning

confidence: 99%

Classical spin model of the relaxation dynamics of rare-earth doped permalloy

2012

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“…The basis of the scheme is the implicit midpoint scheme as given in Ref. 29. However, to reduce the computational effort, an approximation is made in predictor-corrector style:…”

Section: Fig 1 (Color Online)mentioning

confidence: 99%

Classical spin model of the relaxation dynamics of rare-earth doped permalloy

2012

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“…Only the nearest-neighbour interaction was taken into account. The implicit mid-point method [15] was used for the time-stepping with a time step t = 0.005/D. The initial directions of m i were selected to be according to equation (10) with real J , hence J * /J = 1 at t = 0.…”

Section: Non-linear Dependence Of the Effective Exchange Coefficient mentioning

confidence: 99%

“…The numerical damping parameter was selected to be g D = 41.53/ √ γ and the averaging window width was selected to be s A = 3 x. The implicit mid-point method [15] was used for the time-stepping with a time step t = 0.001/γ . The initial state of the system was a uniform alignment of all spins along e y .…”

Section: Damping Region At the Atomistic-continuum Boundarymentioning

confidence: 99%

Atomistic-continuum multiscale modelling of magnetisation dynamics at non-zero temperature

2017

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In this article, a few problems related to multiscale modelling of magnetic materials at finite temperatures and possible ways of solving these problems are discussed. The discussion is mainly centred around two established multiscale concepts: the partitioned domain and the upscaling-based methodologies. The major challenge for both multiscale methods is to capture the correct value of magnetisation length accurately, which is affected by a random temperature-dependent force. Moreover, general limitations of these multiscale techniques in application to spin systems are discussed.

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“…However, not all of them meet the two other properties. A geometrical integration method based on the mid point rule described in [22] incorporates all three properties and is unconditionally stable. However, being an implicit method, a large system of coupled non-linear equations needs to be solved every time step which limits its application for large ferromagnetic systems.…”

Section: Micromagnetic Hysteresis Modelmentioning

confidence: 99%

Energy considerations in a micromagnetic hysteresis model and the Preisach model

Wiele

Vandenbossche

Dupré

et al. 2010

Journal of Applied Physics

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Finding the relations between the microstructural material parameters and the macroscopic hysteresis behavior is indispensable in the design of ferromagnetic materials with minimal (hysteresis) losses. Micromagnetic hysteresis simulations enable a rigorous and structured investigation of these relations since in the numerical model each material parameter can be altered independently. This paper describes a procedure to extract the Preisach distribution function, quantifying the macroscopic hysteresis properties, from micromagnetic simulations incorporating the materials' microstructure. Furthermore, the instantaneously added, stored and dissipated energy while running through the hysteresis loop as described in the macroscopic Preisach model and in the micromagnetic hysteresis model are compared, evidencing a very good agreement. Moreover, using the micromagnetic model, the energy rearrangements between the different micromagnetic interaction terms is studied at each time point of the hysteresis loop. It is concluded that the micromagnetic hysteresis model is a valuable tool in the study of hysteresis properties and loss mechanisms in ferromagnetic materials.

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Geometrical integration of Landau–Lifshitz–Gilbert equation based on the mid-point rule

Cited by 114 publications

References 39 publications

Classical spin model of the relaxation dynamics of rare-earth doped permalloy

Classical spin model of the relaxation dynamics of rare-earth doped permalloy

Atomistic-continuum multiscale modelling of magnetisation dynamics at non-zero temperature

Energy considerations in a micromagnetic hysteresis model and the Preisach model

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