Coarse-graining in micromagnetic simulations of dynamic hysteresis loops

Micromagnetic simulations based on the stochastic Landau-Lifshitz-Gilbert equation are used to calculate dynamic magnetic hysteresis loops relevant to magnetic hyperthermia. With the goal to effectively simulate room-temperature loops for large iron-oxide-based systems at relatively slow sweep rates...

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Bibliographic Details
Published in:arXiv.org 2021-11
Main Authors: Behbahani, Razyeh, Plumer, Martin L, Saika-Voivod, Ivan
Format: Article
Language:English
Subjects:
Algorithms
Computer simulation
Damping
Grain size
Granulation
Hyperthermia
Hysteresis loops
Loops
Nanoparticles
Nanorods
Nanotechnology
Room temperature
System effectiveness
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Summary:Micromagnetic simulations based on the stochastic Landau-Lifshitz-Gilbert equation are used to calculate dynamic magnetic hysteresis loops relevant to magnetic hyperthermia. With the goal to effectively simulate room-temperature loops for large iron-oxide-based systems at relatively slow sweep rates on the order of 1 Oe/ns or less, a previously derived renormalization group approach for coarse-graining (Grinstein and Koch, Phys. Rev. Lett. 20, 207201, 2003) is modified and applied to calculating loops for a magnetite nanorod. The nanorod modelled is the building block for larger nanoparticles that were employed in preclinical studies (Dennis et al., Nanotechnology 20, 395103, 2009). The scaling algorithm is shown to produce nearly identical loops over several decades in the model grain size. Sweep-rate scaling involving the Gilbert damping parameter is also demonstrated to allow orders of magnitude speed-up of the loop calculations.
ISSN:2331-8422
DOI:10.48550/arxiv.1912.00310