The magnetization is introduced to a hierarchical diffusion model and a relation between the response function and the correlation function is derived to evaluate the zero-field-cooled magnetization (ZFCM) and the thermoremanent magnetization (TRM). It is found that if the correlation of distribution of magnetization (CDM) is weak, the behaviors of ZFCM and TRM are governed by the distribution of the barrier energy. The aging is observed in this case. On the other hand, these behaviors are governed by the strength of CDM if it is strong enough, and the aging is not observed.
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Munetaka Sasaki (1999) studied this question.
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