Time quantification for Monte Carlo modeling of superparamagnetic relaxation

Monte Carlo modeling of superparamagnetic kinetics is addressed with regard to quantification of the simulation steps in units of real time. For the classical Neel case (field-free relaxation of the magnetic moment in a single-domain uniaxial particle), a modification of the Nowak-Chantrell-Kennedy...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2012-09, Vol.86 (10), Article 104423
Main Authors: Melenev, P. V., Raikher, Yu. L., Rusakov, V. V., Perzynski, R.
Format: Article
Language:English
Subjects:
Amplitudes
Anisotropy
Computer simulation
Condensed matter
Magnetic moment
Mathematical models
Monte Carlo methods
Real time
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Summary:Monte Carlo modeling of superparamagnetic kinetics is addressed with regard to quantification of the simulation steps in units of real time. For the classical Neel case (field-free relaxation of the magnetic moment in a single-domain uniaxial particle), a modification of the Nowak-Chantrell-Kennedy formula is proposed enabling the calculations with the variation amplitude of the magnetic moment independent of the particle anisotropy. This relation is obtained from comparison of the Monte Carlo simulated relaxation against the solution of the kinetic equation for the particle magnetic moment. The same idea is applied to a strongly nonequilibrium process: steady re-magnetization of a superparamagnetic particle under an ac field. It is found that in the latter case a linear relationship can be established between the number of simulation steps and the real-time scale (the field period) that holds fairly well in wide frequency and anisotropy parameter intervals.
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.86.104423