Magnetization Dynamics in Nanoparticle Systems: Numerical Simulation Using Langevin Dynamics

Berkov, D. V.; Gorn, N. L.; Görnert, P.

doi:10.1002/1521-396x(200202)189:2<409::aid-pssa409>3.0.co;2-g

Cited by 10 publications

(6 citation statements)

References 34 publications

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“…7,8 Theoretically, most works deal with the general description of the particle assemblies, both analytically 9,10 and numerically. 11,12 Here the general focus is on the optimization of the heating power and its dependence on particle properties, such as their size or the material parameters. 13 Two fundamental values that influence the heating power of particles directly are the frequency f of the alternating magnetic field and its amplitude B 0 .…”

Section: Introductionmentioning

confidence: 99%

Role of dipole-dipole interactions for hyperthermia heating of magnetic nanoparticle ensembles

2012

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For clinical hyperthermia treatment the heating efficiency of magnetic nanoparticle ensembles is a crucial element. Using efficient algorithms, this heating is studied numerically with a focus on the effects of dipole-dipole interparticle interactions. For the time evolution of realistically modeled systems an approach based on the Landau-Lifschitz-Gilbert equation of motion with Langevin dynamics is taken. Our results suggest a widely negative influence of dipole-dipole interactions on the heating power of nanoparticles. However, considering ensembles within a fixed, given sample volume an optimal particle density exists. The presented results may have important implications for the medical use of magnetic hyperthermia treatment.

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Section: Introductionmentioning

confidence: 99%

Role of dipole-dipole interactions for hyperthermia heating of magnetic nanoparticle ensembles

2012

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“…Berkov et al 8 studied the spin wave frequency spectrum and spatial distribution in thin µm-sized magnetic film samples. The lowest-frequency modes were found to correspond to oscillations restricted to the boundary regions, which start to 'propagate' inside a rectangular magnetic sample as the frequency increases.…”

Section: Introductionmentioning

confidence: 99%

Localization properties of pure magnetostatic modes in a cubic nanograin

Puszkarski

Krawczyk

Lévy³

2005

Phys. Rev. B

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We investigate the dynamical properties of a system of interacting magnetic dipoles disposed in sites of an sc lattice and forming a cubic-shaped sample of size determined by the cube edge length (N − 1)a (a being the lattice constant, N representing the number of dipolar planes). The dipolar field resulting from the dipole-dipole interactions is calculated numerically in points of the axis connecting opposite cube face centers (central axis) by collecting individual contributions to this field coming from each of the N atomic planes perpendicular to the central axis. The applied magnetic field is assumed to be oriented along the central axis, magnetizing uniformly the whole sample, all the dipoles being aligned parallelly in the direction of the applied field. The frequency spectrum of magnetostatic waves propagating in the direction of the applied field is found numerically by solving the Landau-Lifshitz equation of motion including the local (nonhomogeneous) dipolar field component; the mode amplitude spatial distributions (mode profiles) are depicted as well. It is found that only the two energetically highest modes have bulk-extended character. All the remaining modes are of localized nature; more precisely, the modes forming the lower part of the spectrum are localized in the subsurface region, while the upper-spectrum modes are localized around the sample center. We show that the mode localization regions narrow down as the cube size, N , increases (we investigated the range of N =21 to N =101), and in sufficiently large cubes one obtains practically only center-localized and surface-localized magnetostatic modes.

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“…The complexity of these problems forces us to seek numerical solutions. The known methods of numerical simulation of magnetic relaxation, such as directly integrating the stochastic Landau-Lifshitz equation, 22,23,24 the conventional Monte Carlo method, 25,26 and the time quantified Monte Carlo method 27 are not suitable for our purposes. The main reasons are the following.…”

Section: Introductionmentioning

confidence: 99%

Magnetic relaxation in finite two-dimensional nanoparticle ensembles

2003

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We study the slow phase of thermally activated magnetic relaxation in finite two-dimensional ensembles of dipolar interacting ferromagnetic nanoparticles whose easy axes of magnetization are perpendicular to the distribution plane. We develop a method to numerically simulate the magnetic relaxation for the case that the smallest heights of the potential barriers between the equilibrium directions of the nanoparticle magnetic moments are much larger than the thermal energy. Within this framework, we analyze in detail the role that the correlations of the nanoparticle magnetic moments and the finite size of the nanoparticle ensemble play in magnetic relaxation.Comment: 21 pages, 4 figure

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Magnetization Dynamics in Nanoparticle Systems: Numerical Simulation Using Langevin Dynamics

Cited by 10 publications

References 34 publications

Role of dipole-dipole interactions for hyperthermia heating of magnetic nanoparticle ensembles

Role of dipole-dipole interactions for hyperthermia heating of magnetic nanoparticle ensembles

Localization properties of pure magnetostatic modes in a cubic nanograin

Magnetic relaxation in finite two-dimensional nanoparticle ensembles

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