Universality of REM-like aging in mean field spin glasses

TL;DR

This paper proves that aging behavior in a broad class of mean field spin glass models aligns with the predictions of the REM-like trap model, marking a significant step in understanding glassy dynamics.

Contribution

It provides the first rigorous proof of aging in mean field models beyond the REM and spherical models, confirming the universality of REM-like aging.

Findings

Aging occurs as predicted by REM-like trap models across various mean field models.

The result applies to a wide range of time scales.

First rigorous proof of aging in mean field spin glasses beyond known models.

Abstract

Aging has become the paradigm to describe dynamical behavior of glassy systems, and in particular spin glasses. Trap models have been introduced as simple caricatures of effective dynamics of such systems. In this Letter we show that in a wide class of mean field models and on a wide range of time scales, aging occurs precisely as predicted by the REM-like trap model of Bouchaud and Dean. This is the first rigorous result about aging in mean field models except for the REM and the spherical model.