Analysis on Aging in the Generalized Random Energy Model

Abstract

A new dynamics more natural than that proposed by Bouchaud and Dean is introduced to the Generalized Random Energy Model, and the master equation for the dynamics is solved exactly to calculate the time correlation function. Although our results are very similar to those obtained by Bouchaud and Dean qualitatively, the exponents for power law relaxation are different. The Zero-Field-Cooled magnetization is also calculated with a relation between the correlation function and the response function which holds even if the relaxation is non-equilibrium. The validity of these analytic results are confirmed by numerical simulations.

12 pages, 5 figures, submitted to J. Phys. Sci. Jpn

References in corpus (1)

• Memory Effect, Rejuvenation and Chaos Effect in the Multi-layer Random Energy Model

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• Numerical Study of Aging in the Generalized Random Energy Model
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• Memory effect and phase transition in a hierarchical trap model for spin glass
• The rejuvenation effect in the two-state random energy model