Numerical Study on Aging Dynamics in Ising Spin-Glass Models: Temperature-Change Protocols

dc.creatorKomori, Tatsuo
dc.creatorYoshino, Hajime
dc.creatorTakayama, Hajime
dc.date2000-01-27
dc.date2000-02-18
dc.date.accessioned2026-07-07T02:36:39Z
dc.date.available2026-07-07T02:36:39Z
dc.descriptionBy means of Monte Carlo simulations on the three-dimensional Ising spin-glass model, we have studied aging phenomena with various temperature($T$)-change protocols. Particularly, a $T$-shift protocol, in which a system is first quenched to and aged for a period $t_{\rm w1}$ at a temperature $T_1$, and subsequently aged at a new temperature $T_2$ is closely investigated. Most importantly, the mean size of domains, which is extracted from the replica-overlap function, was found to grow monotonically without any appreciable decrease by the $T$-change. We also found the relaxation of energy density and spin auto-correlation function during the $T$-shift process can be explained within the following picture: the dynamics finally crossovers to an isothermal aging of $T_2$ at around $t_2 \simeq t_{\rm w1}^{\rm (eff)}$ after the $T$-change, where $t_{\rm w1}^{\rm (eff)}$ is an effective waiting time related with $t_{\rm w1}$, but in the transient regime $t_2 \lt t_{\rm w1}^{\rm (eff)}$, adjustment of the population of thermally active droplets from that at $T_1$ to $T_2$ takes place very slowly. Implications of the results on aging phenomena in other $T$-change protocols such as $T$-cycling and continuous $T$-change with an intermittent stop observed by simulations as well as experiments are discussed.
dc.description10 pages, 11 figures, for the Proceedings of the workshop "Frontiers in Magnetism", Kyoto Oct.99
dc.identifierhttps://arxiv.org/abs/cond-mat/0001395
dc.identifierhttp://arxiv.org/abs/cond-mat/0001395
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/15997
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleNumerical Study on Aging Dynamics in Ising Spin-Glass Models: Temperature-Change Protocols
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