Calculation of Potential Barriers and Blocking Temperatures of Small Pseudo–Single-DomainParticles by Micromagnetism Methods

Numerical simulation of the process of remagnetization of small pseudo–single-domain magnetite particles (Тc = 580°С) was performed. The particles are cylindrical in shape, with a height h of 60–350 nm and a height-to-diameter ratio of 1.29. This geometry enables preferential anisotropy of the shape...

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Main Authors: V. P. Shcherbakov, N. K. Sycheva
Format: Article
Language:English
Published: Kazan Federal University 2024-01-01
Series:Учёные записки Казанского университета: Серия Естественные науки
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Online Access:https://uzakuesc.elpub.ru/jour/article/view/39
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author V. P. Shcherbakov
N. K. Sycheva
author_facet V. P. Shcherbakov
N. K. Sycheva
author_sort V. P. Shcherbakov
collection DOAJ
description Numerical simulation of the process of remagnetization of small pseudo–single-domain magnetite particles (Тc = 580°С) was performed. The particles are cylindrical in shape, with a height h of 60–350 nm and a height-to-diameter ratio of 1.29. This geometry enables preferential anisotropy of the shape, causing the magnetic moment of the particle to align along the cylinder’s axis in a stable state. As the size increases, the domain structure shifts from the single-domain state (60 nm) to the flower mode (h = 70–85 nm), and then to a vortex structure. Particles in the range of h = 75–250 nm are remagnetized through a vortex state, with the axis aligned along their diameter. In the range of h = 300–350 nm, at the top of the potential barrier, the domain structure transforms from a single vortex to a multi-vortex configuration. The blocking temperatures Tb of the particles vary from 520 to 580°C, while the dependence Тb(h) is non-monotonic and manifests a “pit” at h = 90–140 nm. At the same time, at h = 300–350 nm, Tb values differ from by Тс  no more than 1°C. At h = 100 nm, the ratio of magnetic energy in the external field B of the order of the earth to thermal energy at T = Tb reaches 1. This suggests a strong nonlinearity of the TRM(B) dependence even in such small fields and particle sizes. The results obtained highlight the need to revise the existing micromagnetic models by taking into account the specific shape and deficiency of the crystal structure of particles in order to bring them in line with the properties of actual ferrimagnets present in rocks.
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series Учёные записки Казанского университета: Серия Естественные науки
spelling doaj-art-78ee7fa8e56f40f7bd7f5c4d2d0d92362025-08-20T03:45:40ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Естественные науки2542-064X2500-218X2024-01-01165457758910.26907/2542-064X.2023.4.577-58938Calculation of Potential Barriers and Blocking Temperatures of Small Pseudo–Single-DomainParticles by Micromagnetism MethodsV. P. Shcherbakov0N. K. Sycheva1Borok Geophysical Observatory, Sсhmidt Institute of Physics of the Earth, Russian Academy of SciencesBorok Geophysical Observatory, Sсhmidt Institute of Physics of the Earth, Russian Academy of SciencesNumerical simulation of the process of remagnetization of small pseudo–single-domain magnetite particles (Тc = 580°С) was performed. The particles are cylindrical in shape, with a height h of 60–350 nm and a height-to-diameter ratio of 1.29. This geometry enables preferential anisotropy of the shape, causing the magnetic moment of the particle to align along the cylinder’s axis in a stable state. As the size increases, the domain structure shifts from the single-domain state (60 nm) to the flower mode (h = 70–85 nm), and then to a vortex structure. Particles in the range of h = 75–250 nm are remagnetized through a vortex state, with the axis aligned along their diameter. In the range of h = 300–350 nm, at the top of the potential barrier, the domain structure transforms from a single vortex to a multi-vortex configuration. The blocking temperatures Tb of the particles vary from 520 to 580°C, while the dependence Тb(h) is non-monotonic and manifests a “pit” at h = 90–140 nm. At the same time, at h = 300–350 nm, Tb values differ from by Тс  no more than 1°C. At h = 100 nm, the ratio of magnetic energy in the external field B of the order of the earth to thermal energy at T = Tb reaches 1. This suggests a strong nonlinearity of the TRM(B) dependence even in such small fields and particle sizes. The results obtained highlight the need to revise the existing micromagnetic models by taking into account the specific shape and deficiency of the crystal structure of particles in order to bring them in line with the properties of actual ferrimagnets present in rocks.https://uzakuesc.elpub.ru/jour/article/view/39micromagnetic modelingmagnetitepseudodomain particlespotential barrierblocking temperature
spellingShingle V. P. Shcherbakov
N. K. Sycheva
Calculation of Potential Barriers and Blocking Temperatures of Small Pseudo–Single-DomainParticles by Micromagnetism Methods
Учёные записки Казанского университета: Серия Естественные науки
micromagnetic modeling
magnetite
pseudodomain particles
potential barrier
blocking temperature
title Calculation of Potential Barriers and Blocking Temperatures of Small Pseudo–Single-DomainParticles by Micromagnetism Methods
title_full Calculation of Potential Barriers and Blocking Temperatures of Small Pseudo–Single-DomainParticles by Micromagnetism Methods
title_fullStr Calculation of Potential Barriers and Blocking Temperatures of Small Pseudo–Single-DomainParticles by Micromagnetism Methods
title_full_unstemmed Calculation of Potential Barriers and Blocking Temperatures of Small Pseudo–Single-DomainParticles by Micromagnetism Methods
title_short Calculation of Potential Barriers and Blocking Temperatures of Small Pseudo–Single-DomainParticles by Micromagnetism Methods
title_sort calculation of potential barriers and blocking temperatures of small pseudo single domainparticles by micromagnetism methods
topic micromagnetic modeling
magnetite
pseudodomain particles
potential barrier
blocking temperature
url https://uzakuesc.elpub.ru/jour/article/view/39
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AT nksycheva calculationofpotentialbarriersandblockingtemperaturesofsmallpseudosingledomainparticlesbymicromagnetismmethods