Evidence of aging in mean-field spin glass models

TL;DR

This paper provides numerical evidence of aging phenomena in high-dimensional mean-field spin glass models, indicating their suitability for analytical study of out-of-equilibrium dynamics similar to experimental observations.

Contribution

The study demonstrates aging effects in high-dimensional mean-field spin glasses, supporting their use for analytical exploration of out-of-equilibrium dynamics.

Findings

Aging effects observed in high-dimensional hypercubic spin glasses.

Qualitative similarity to experimental and low-dimensional model behaviors.

Supports analytical study of aging in mean-field models.

Abstract

We study numerically the out of equilibrium dynamics of the hypercubic cell spin glass in high dimensionalities. We obtain evidence of aging effects qualitatively similar both to experiments and to simulations of low dimensional models. This suggests that the Sherrington-Kirkpatrick model as well as other mean-field finite connectivity lattices can be used to study these effects analytically.