Scaling laws and approximate expressions for the dynamic magnetic susceptibility of Brownian nanoparticles
authors Silva, NJO
nationality International
journal JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS
author keywords Magnetic nanoparticles; Brownian relaxation; Magnetic susceptibility
keywords INTRACELLULAR HYPERTHERMIA; PARTICLE SYSTEM; RELAXATION; FLUIDS; TEMPERATURE; DIELECTRICS; SPECTRUM
abstract We present simplified expressions for the out-of-phase component of the dynamic susceptibility chi '' of lognormal-sized magnetic nanoparticles under Brownian rotation. These expressions are based on transforming the general integral functions used for chi '' in the convolution of gaussian functions. chi '' can thus be expressed as a sum of gaussians with parameters directly related to those of the size distribution and to the saturation magnetization. The gaussian fit of chi ''(omega) (where w is the ac field frequency) is a simpler way to determine these structural and magnetic parameters as it avoids fitting chi ''(omega) to an integral function. The expressions derived for chi '' suggest that chi '' T data collapses in a omega eta(T)/T scale (where T is the temperature and eta the fluids viscosity), which is confirmed by numerical calculations. We also discuss the limits of validity of these approximations in real systems where both Neel and Brownian relaxation mechanisms coexist and we present further approximations for the relation of omega(chi) with the average volume (being omega(chi) the frequency at which chi '' is maximum). The omega eta(T)/T scale can be used to qualitatively evaluate the dominance of the Brownian relaxation mechanism. (C) 2011 Elsevier B.V. All rights reserved.
publisher ELSEVIER SCIENCE BV
issn 0304-8853
year published 2011
volume 323
issue 24
beginning page 3259
ending page 3264
digital object identifier (doi) 10.1016/j.jmmm.2011.07.026
web of science category Materials Science, Multidisciplinary; Physics, Condensed Matter
subject category Materials Science; Physics
unique article identifier WOS:000293827500014
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