TY - JOUR
T1 - Analysis on aging in the generalized random energy model
AU - Sasaki, Munetaka
AU - Nemoto, Koji
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2000/9
Y1 - 2000/9
N2 - 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 C(t + tw, tw). 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.
AB - 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 C(t + tw, tw). 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.
KW - Aging
KW - Generalized random energy model
KW - Zero-field-cooled magnetization
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U2 - 10.1143/JPSJ.69.3045
DO - 10.1143/JPSJ.69.3045
M3 - Article
AN - SCOPUS:0034362507
VL - 69
SP - 3045
EP - 3050
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 9
ER -