Abstract
The fascinating features of aging effects of spin-glasses revealed by experiments 1) have arose much theoretical interest in recent years, which includes various phenomenologies 2) 3), analytic predictions 4) and numerical simulations. 5) 6) In order to seek for concrete information to provide theoretical base, we study the relaxational modes of the Glauber dynamics of the mean-field spin-glass model, namely Sherrington-Kirkpatrick (SK) model 7) of finite sizes at temperatures below Tc (spinglass transition temperature). By numerically diagonalizing the transition matrix of small system sizes, we obtain a spectrum of relaxational modes and analyze their properties to get insight into the mechanism of the aging process. We also discuss the data of Monte Carlo simulations we have performed on larger system sizes.
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