Mesoscopic real-space structures in spin-glass aging: the Edwards-Anderson model

Paolo Sibani, Stefan Boettcher

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Abstract

Isothermal simulational data for the three-dimensional Edwards-Anderson (E-A) spin glass are collected at several temperatures below Tc and, in analogy with a recent model of dense colloidal suspensions, interpreted in terms of clusters of contiguous spins overturned by quakes, i.e., nonequilibrium events linked to record-size energy fluctuations. We show numerically that to a good approximation, these quakes are statistically independent and constitute a Poisson process whose average grows logarithmically in time. The overturned clusters are local projections on one of the two ground states of the model, and grow likewise logarithmically in time. Data collected at different temperatures T can be collapsed by scaling them with T-1.75, which we relate, on the one hand, to the geometry of configuration space and, on the other, to experimental memory and rejuvenation effects. The rate at which a cluster flips is shown to decrease exponentially with the size of the cluster, as recently assumed in a coarse-grained model of dense colloidal dynamics. The evolving structure of clusters in real space is finally associated to the decay of the thermo-remanent magnetization. Our analysis provides an unconventional coarse-grained description of spin-glass aging as statistically subordinated to a Poisson quaking process and highlights record dynamics as a viable common theoretical framework for aging in different systems.

Original languageEnglish
Article number054202
JournalPhysical Review B
Volume98
Issue number5
ISSN2469-9969
DOIs
Publication statusPublished - Aug 2018

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