Aging dynamics of heterogeneous spin models

TL;DR

This paper numerically studies the aging dynamics of three distinct spin models representing different aging classes, analyzing single-spin responses to understand heterogeneities and distinguish between models.

Contribution

It provides a comparative numerical analysis of aging behaviors in three spin models, linking dynamic heterogeneities to model-specific properties and analytical predictions.

Findings

Dynamic heterogeneities depend on the model type.

Single-spin observables reveal differences between aging classes.

Analytical predictions align with numerical results in simple cases.

Abstract

We investigate numerically the dynamics of three different spin models in the aging regime. Each of these models is meant to be representative of a distinct class of aging behavior: coarsening systems, discontinuous spin glasses, and continuous spin glasses. In order to study dynamic heterogeneities induced by quenched disorder, we consider single-spin observables for a given disorder realization. In some simple cases we are able to provide analytical predictions for single-spin response and correlation functions. The results strongly depend upon the model considered. It turns out that, by comparing the slow evolution of a few different degrees of freedom, one can distinguish between different dynamic classes. As a conclusion we present the general properties which can be induced from our results, and discuss their relation with thermometric arguments.