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S.-J. Lee,Suguru Sato,Tomohiko Niizeki,Hideto Yanagihara,Eiji Kita,Chiharu Mitsumata 한국물리학회 2013 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.63 No.3
A numerical simulation of magnetic materials with random magnetic anisotropy was performed. The magnetization of an assembly of magnetically-interacting grains with randomly-oriented uniaxialanisotropy was calculated using the Landau-Lifshitz-Gilbert equation. For simplicity in thesimulation, the magnetizations in a grain were assumed to be aligned in the same direction; thisassumption is known as the single spin model. The interaction at the interface of the grains wastaken into account by including an interaction energy between the unit vectors that represent themagnetization directions of the grains. Calculations were carried out for an N × N × N system,where the grain sizes D ranged from 5 to 40 nm and N ranged from 10 to 80. The relation betweenthe coercive forces HC and the grain size is represented by HC ~ Dk. For the case of N = 10,k = 5.7, which corresponds to the primitive theory of the random anisotropy model (RAM) wherek = 6. As N increased, k decreased slightly from 5.7 to 4.2. The gradient of the log-log plot of thecoercive force versus the grain size (d logHC/d logD) was deduced by smoothing the data and wasfound to have a peak value of approximately 6. This result suggests that the RAM is supported bythe simulation within the range of grain sizes where the peak was observed.