2000/01/27 by Tatsuo Komori, Komori, Tatsuo, Hajime Yoshino +3 · 1 citation
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Opinion Dynamics and Social Influence #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0001395
10 pages, 11 figures, for the Proceedings of the workshop "Frontiers in Magnetism", Kyoto Oct.99
openalex publication_date 2000/01/27 · arxiv created 2000/02/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
By 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 T1, and subsequently aged at a new temperature T2 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 T2 at around t2 ≃ 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 t2 \lt t\rm w1\rm (eff), adjustment of the population of thermally active droplets from that at T1 to T2 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.