Weak-ergodicity breaking in mean-field spin-glass models

TL;DR

This paper reviews the long-term off-equilibrium dynamics of two mean-field spin-glass models, highlighting their aging behaviors and differences, and offers an interpretative scenario for these phenomena.

Contribution

It provides a comparative analysis of aging phenomena in p-spin spherical and Sherrington-Kirkpatrick models, elucidating their distinct dynamical characteristics.

Findings

Both models exhibit aging phenomena.

Different aging characteristics between the models.

A scenario for interpreting the observed behaviors.

Abstract

We review the long-time off-equilibrium dynamical behaviour of two representative mean-field spin-glass models, namely the $p$-spin spherical and the Sherrington-Kirkpatrick models. We show how both models capture aging phenomena but with rather different characteristics. We discuss a scenario that allows for interpreting our results.