Rejuvenation and Memory in model Spin Glasses in 3 and 4 dimensions

TL;DR

This study investigates aging, memory, and rejuvenation in 3D and 4D spin glasses through numerical simulations, revealing complex non-monotonic behaviors and the influence of off-equilibrium effects on these phenomena.

Contribution

It provides new large-scale simulations of spin glasses in 3D and 4D, demonstrating detailed aging behaviors and the impact of off-equilibrium corrections on rejuvenation.

Findings

Deviations from cumulative aging observed in coherence length behavior.

Memory and rejuvenation effects confirmed in temperature-cycle protocols.

Rejuvenation effects are reduced when considering off-equilibrium fluctuation-dissipation corrections.

Abstract

We numerically study aging for the Edwards-Anderson Model in 3 and 4 dimensions using different temperature-change protocols. In D=3, time scales a thousand times larger than in previous work are reached with the SUE machine. Deviations from cumulative aging are observed in the non monotonic time behavior of the coherence length. Memory and rejuvenation effects are found in a temperature-cycle protocol, revealed by vanishing effective waiting times. Similar effects are reported for the D=3$site-diluted ferromagnetic Ising model (without chaos). However, rejuvenation is reduced if off-equilibrium corrections to the fluctuation-dissipation theorem are considered. Memory and rejuvenation are quantitatively describable in terms of the growth regime of the spin-glass coherence length.