2017
DOI: 10.1109/tmag.2017.2701145
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Magnetic Field Dependence of Ni Nanorod Brownian Relaxation

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Cited by 14 publications
(7 citation statements)
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“…They were fitted with the phenomenological Havriliak−Negami model 24 for a precise determination of the characteristic peak positions. As expected and known from previous studies, 25,26 the characteristic Brownian peak shifts to higher frequencies and its amplitude decreases with increasing field amplitude. The characteristic frequency positions are plotted in Figure 3b…”
Section: ■ Results and Discussionsupporting
confidence: 91%
See 1 more Smart Citation
“…They were fitted with the phenomenological Havriliak−Negami model 24 for a precise determination of the characteristic peak positions. As expected and known from previous studies, 25,26 the characteristic Brownian peak shifts to higher frequencies and its amplitude decreases with increasing field amplitude. The characteristic frequency positions are plotted in Figure 3b…”
Section: ■ Results and Discussionsupporting
confidence: 91%
“…In ref , Yoshida and Enpuku numerically solved the Fokker–Planck equation for Brownian MNPs exposed to a large sinusoidal magnetic field and derived the following empirical equation for the Brownian relaxation time Here, ξ = mB /( k B T ) is the Langevin parameter with the particle magnetic moment m and the applied flux density B . As we demonstrated in refs and , this empirical equation is a good approximation to determine the magnetic moment and the zero-field Brownian relaxation time from the field dependence of ACS spectra.…”
Section: Resultsmentioning
confidence: 67%
“…For the ACS approximation, the deviation is mainly visible for the highest β 0values and it is found to be below 4% relative to the maximum amplitude for β 0 < 30, and below 5% for β 0 < 100. The approximation developed by Yoshida and Enpuku 2 was shown to describe the peak position of χ 1 for β 0 -values up to 100 15 ; however, their approximation showed a maximum deviation of the curves from the Fokker-Planck results that was about 10% for β 0 = 10, and up to 50% for β 0 = 100. If this approximation is used to fit the entire curve rather than only the peak position, such large deviations between the approximation and exact simulations can produce significant errors in the fitting result.…”
Section: Low-field Behaviourmentioning
confidence: 92%
“…Yoshida and Enpuku developed an analytical approximation to the magnetic susceptibility by fitting phenomenological expressions to the increase in the peak position of the imaginary part of the magnetic susceptibility and the ratio between the real and imaginary part at low frequency 14 . A slightly improved expression introduced by Ludwig et al 2 was shown to fit the peak position of the imaginary part of the magnetic susceptibility for large applied magnetic field amplitudes 15 . Later Gratz and Tschöpe also proposed an improved ACS approximation by fitting the Debye model to spectra obtained from Fokker-Planck calculations 16 .…”
Section: Introductionmentioning
confidence: 99%
“…At 25 mT a rough increase of approximately a factor four to about 72 kHz is to be expected. The plot was realized utilizing an approximation (Equation (4)) from Yoshida et al [24] based on solving the Fokker-Planck equation, which was experimentally verified [25,26]: 1.72 (4) can be seen in Equation (6).…”
Section: Magnetismmentioning
confidence: 96%