An in-depth view of the microscopic dynamics of Ising spin glasses at fixed temperature

TL;DR

This study uses advanced simulations to explore the microscopic dynamics of 3D Ising spin glasses at fixed temperature, revealing insights into dynamic heterogeneities, order parameters, and relaxation behaviors over extensive timescales.

Contribution

It provides the first detailed analysis of nonequilibrium dynamics of 3D Ising spin glasses over eleven orders of magnitude using dedicated computing, including bounds on order parameters and scaling relations.

Findings

Agreement with experimental decay exponents for thermoremanent magnetization

Scaling of decay exponents with coherence length

Linear temperature dependence of energy relaxation exponents

Abstract

Using the dedicated computer Janus, we follow the nonequilibrium dynamics of the Ising spin glass in three dimensions for eleven orders of magnitude. The use of integral estimators for the coherence and correlation lengths allows us to study dynamic heterogeneities and the presence of a replicon mode and to obtain safe bounds on the Edwards-Anderson order parameter below the critical temperature. We obtain good agreement with experimental determinations of the temperature-dependent decay exponents for the thermoremanent magnetization. This magnitude is observed to scale with the much harder to measure coherence length, a potentially useful result for experimentalists. The exponents for energy relaxation display a linear dependence on temperature and reasonable extrapolations to the critical point. We conclude examining the time growth of the coherence length, with a comparison of critical and activated dynamics.