Numerical Study on Aging Dynamics in the 3D Ising Spin-Glass Model. III. Cumulative Memory and `Chaos' Effects in the Temperature-Shift Protocol

TL;DR

This study uses Monte Carlo simulations to explore aging, memory, and chaos effects in the 3D Edwards-Anderson spin-glass model during temperature shifts, revealing different behaviors depending on the magnitude of the temperature change.

Contribution

It provides the first numerical evidence of the chaos effect in the temperature-shift protocol of 3D spin glasses, distinguishing it from rejuvenation effects.

Findings

Memory is preserved for small temperature shifts.

Deviations from cumulative memory occur with large negative temperature shifts.

Chaos effects are identified as qualitatively different from rejuvenation.

Abstract

The temperature ($T$)-shift protcol of aging in the 3 dimensional (3D) Edwards- Anderson (EA) spin-glass (SG) model is studied through the out-of-phase component of the ac susceptibility simulated by the Monte Carlo method. For processes with a small magnitude of the $T$-shift, $\Delta T$, the memory imprinted before the $T$-shift is preserved under the $T$-change and the SG short-range order continuously grows after the $T$-shift, which we call the cumulative memory scenario. For a negative $T$-shift process with a large $\Delta T$ the deviation from the cumulative memory scenario has been observed for the first time in the numerical simulation. We attribute the phenomenon to the `chaos effect' which, we argue, is qualitatively different from the so-called rejuvenation effect observed just after the $T$-shift.