Monte Carlo model for the dynamic magnetization of microspheres

Melenev, P. V.; Perzynski, R.; Raǐkher, Yu. L.; Rusakov, V. V.

doi:10.1016/j.phpro.2010.11.014

Cited by 4 publications

(5 citation statements)

References 12 publications

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“…(25) and (26)] and MMFT2 [Eqs. (25) and (27)] give good agreement with the simulation data in the weak field range (ξ < 1). In Fig.…”

Section: A Magnetically Isotropic Particles In a Bulk Solid Matrixsupporting

confidence: 72%

“…MMFT2 [Eqs. (27) and (28)] again gives larger magnetization values than MMFT1, but it should be noted that the difference between two theories is much less pronounced than in the bulk case. The combination of Eq.…”

Section: Wellmentioning

confidence: 91%

“…(39) derived for a bulk system will work for small clusters as (26) and (28)] for the same volume fractions, dot-dashed curves are predictions of MMFT2 [Eqs. (27) and (28)]. Dashed lines are from the analytical model given by Eqs.…”

Section: A Magnetically Isotropic Particles In a Bulk Solid Matrixmentioning

confidence: 99%

“…For MMFT2, the mean-field parameter Eq. (27) was modified using the same intuitive approach, which was used to obtain Eq. (30) -the function L(ξ) was replaced with L ani (ξ, σ):…”

Section: Cluster Of Uniaxial Particlesmentioning

confidence: 99%

“…For simplicity, it is sometimes assumed that microspheres and nanoclusters contain non-interacting and magnetically isotropic single-domain particles 7,[20][21][22] . However, in recent years quasi-spherical rigid clusters of different sizes have been actively studied via numerical simulations 11,[23][24][25][26][27][28] . And it has been repeatedly demonstrated that interactions between embedded particles as well as their magnetic anisotropy can have a noticeable impact on the cluster static 11,[23][24][25] and dynamic [25][26][27][28] magnetic properties.…”

Section: Introductionmentioning

confidence: 99%

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Equilibrium magnetization of a quasispherical cluster of single-domain particles

Кузнецов

2018

Phys. Rev. B

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Equilibrium magnetization curve of a rigid finite-size spherical cluster of single-domain particles is investigated both numerically and analytically. The spatial distribution of particles within the cluster is random. Dipole-dipole interactions between particles are taken into account. The particles are monodisperse. It is shown, using the stochastic Landau-Lifshitz-Gilbert equation, that the magnetization of such clusters is generally lower than predicted by the classical Langevin model. In a broad range of dipolar coupling parameters and particle volume fractions, the cluster magnetization in the weak field limit can be successfully described by the modified mean-field theory, which was originally proposed for the description of concentrated ferrofluids. In moderate and strong fields, the theory overestimates the cluster magnetization. However, predictions of the theory can be improved by adjusting the corresponding mean-field parameter. If magnetic anisotropy of particles is additionally taken into account and if the distribution of the particles' easy axes is random and uniform, then the cluster equilibrium response is even weaker. The decrease of the magnetization with increasing anisotropy constant is more pronounced at large applied fields. The phenomenological generalization of the modified mean-field theory, that correctly describes this effect for small coupling parameters, is proposed.

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“…(25) and (26)] and MMFT2 [Eqs. (25) and (27)] give good agreement with the simulation data in the weak field range (ξ < 1). In Fig.…”

Section: A Magnetically Isotropic Particles In a Bulk Solid Matrixsupporting

confidence: 72%

Section: Wellmentioning

confidence: 91%

Section: A Magnetically Isotropic Particles In a Bulk Solid Matrixmentioning

confidence: 99%

“…For MMFT2, the mean-field parameter Eq. (27) was modified using the same intuitive approach, which was used to obtain Eq. (30) -the function L(ξ) was replaced with L ani (ξ, σ):…”

Section: Cluster Of Uniaxial Particlesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Equilibrium magnetization of a quasispherical cluster of single-domain particles

Кузнецов

2018

Phys. Rev. B

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Time quantification for Monte Carlo modeling of superparamagnetic relaxation

et al. 2012

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Dipolar-coupled moment correlations in clusters of magnetic nanoparticles

et al. 2018

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Here, we resolve the nature of the moment coupling between 10-nm DMSA-coated magnetic nanoparticles. The individual iron oxide cores were composed of > 95 % maghemite and agglomerated to clusters. At room temperature the ensemble behaved as a superparamagnet according to Mössbauer and magnetization measurements, however, with clear signs of dipolar interactions. Analysis of temperature-dependent AC susceptibility data in the superparamagnetic regime indicates a tendency for dipolar coupled anticorrelations of the core moments within the clusters. To resolve the directional correlations between the particle moments we performed polarized small-angle neutron scattering and determined the magnetic spin-flip cross-section of the powder in low magnetic field at 300 K. We extract the underlying magnetic correlation function of the magnetization vector field by an indirect Fourier transform of the cross-section. The correlation function suggests non-stochastic preferential alignment between neighboring moments despite thermal fluctuations, with anticorrelations clearly dominating for next-nearest moments. These tendencies are confirmed by Monte Carlo simulations of such core-clusters.

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Monte Carlo model for the dynamic magnetization of microspheres

Cited by 4 publications

References 12 publications

Equilibrium magnetization of a quasispherical cluster of single-domain particles

Equilibrium magnetization of a quasispherical cluster of single-domain particles

Time quantification for Monte Carlo modeling of superparamagnetic relaxation

Dipolar-coupled moment correlations in clusters of magnetic nanoparticles

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