Micromagnetic simulation of thermally activated switching in fine particles

Scholz, W.; Schrefl, T.; Fidler, J.

doi:10.1016/s0304-8853(01)00032-4

Cited by 133 publications

(93 citation statements)

References 7 publications

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“…Dynamics of the unit magnetization vector ⃗ of i-th single-domain nanoparticle of the cluster is determined by the stochastic Landau-Lifshitz equation [7][8][9] …”

Section: Numerical Simulationmentioning

confidence: 99%

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Specific Absorption Rate of Assembly of Magnetite Nanoparticles with Cubic Magnetic Anisotropy

Nesmeyanov¹,

Gubanova²,

Belyaeva³

et al. 2018

KEn

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The presence of strong magnetic dipole interaction in assemblies of fractal clusters of nearly spherical magnetite nanoparticles, which arise in a biological media loaded with magnetic nanoparticles, leads to a significant decrease of the specific absorption rate of these assemblies in alternating magnetic field. However, the specific absorption rate of the assembly can be increased if the nanoparticles are covered by non magnetic shells of sufficiently large thickness comparable with the nanoparticle diameter.

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“…Dynamics of the unit magnetization vector ⃗ of i-th single-domain nanoparticle of the cluster is determined by the stochastic Landau-Lifshitz equation [7][8][9] …”

Section: Numerical Simulationmentioning

confidence: 99%

“…The numerical simulations are performed by solving stochastic Landau-Lifshitz (LL) equation [7][8][9]. This approach takes into account both thermal fluctuations of the particle magnetic moments and strong magnetodipole interaction [10][11] in assemblies of dense fractal-like aggregates of nanoparticles.…”

Section: Introductionmentioning

confidence: 99%

Specific Absorption Rate of Assembly of Magnetite Nanoparticles with Cubic Magnetic Anisotropy

Nesmeyanov¹,

Gubanova²,

Belyaeva³

et al. 2018

KEn

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show abstract

“…The procedure for solving stochastic differential equation (1), (2) and (7) is described in detail in [9][10][11][12].…”

Section: Numerical Simulationmentioning

confidence: 99%

Specific Absorption Rate of Fractal-like Aggregates of Magnetic Nanopaticles

Rytov¹,

Shershnev²,

Ermakov³

et al. 2018

KEn

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A specific absorption rate of fractal-like assemblies of iron oxide nanoparticles in alternating magnetic field has been calculated using stochastic Landau-Lifshitz equation which simultaneously takes into account both the presence of thermal fluctuations of the nanoparticle magnetic moments, and strong magneto-dipole interaction between the nanoparticles of the clusters. No appreciable difference in the magnetic properties of various types of fractal clusters has been revealed. It is also found that the specific absorption rate of dilute assemblies of fractal clusters shows only weak dependence on the number of the nanoparticles within the clusters.

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“…We solve the stochastic LLG equation numerically using the Heun method. 4,16 Due to the computational intensity of numerical integration, transient simulations were coded in CUDA and run in parallel. 17 Each probability data point is calculated using 1000 simulations.…”

Section: A Magnetization Dynamicsmentioning

confidence: 99%

“…[1][2][3][4] Most prominently, W. Brown, in his seminal works in 1963 to 1979, developed the "Brownian motion" model of thermal noise. Using the Fokker-Planck analysis, Brown showed that the probability of the thermal reversal in fine ferromagnetic bodies (i) is a single exponential function with respect to time and (ii) it varies monotonically with the energy barrier of the nanomagnet.…”

Section: Introductionmentioning

confidence: 99%

Non-monotonic probability of thermal reversal in thin-film biaxial nanomagnets with small energy barriers

2017

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The goal of this paper is to investigate the short time-scale, thermally-induced probability of magnetization reversal for an biaxial nanomagnet that is characterized with a biaxial magnetic anisotropy. For the first time, we clearly show that for a given energy barrier of the nanomagnet, the magnetization reversal probability of an biaxial nanomagnet exhibits a non-monotonic dependence on its saturation magnetization. Specifically, there are two reasons for this non-monotonic behavior in rectangular thin-film nanomagnets that have a large perpendicular magnetic anisotropy. First, a large perpendicular anisotropy lowers the precessional period of the magnetization making it more likely to precess across the x^=0 plane if the magnetization energy exceeds the energy barrier. Second, the thermal-field torque at a particular energy increases as the magnitude of the perpendicular anisotropy increases during the magnetization precession. This non-monotonic behavior is most noticeable when analyzing the magnetization reversals on time-scales up to several tens of ns. In light of the several proposals of spintronic devices that require data retention on time-scales up to 10’s of ns, understanding the probability of magnetization reversal on the short time-scales is important. As such, the results presented in this paper will be helpful in quantifying the reliability and noise sensitivity of spintronic devices in which thermal noise is inevitably present.

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Micromagnetic simulation of thermally activated switching in fine particles

Cited by 133 publications

References 7 publications

Specific Absorption Rate of Assembly of Magnetite Nanoparticles with Cubic Magnetic Anisotropy

Specific Absorption Rate of Assembly of Magnetite Nanoparticles with Cubic Magnetic Anisotropy

Specific Absorption Rate of Fractal-like Aggregates of Magnetic Nanopaticles

Non-monotonic probability of thermal reversal in thin-film biaxial nanomagnets with small energy barriers

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