Static versus dynamic heterogeneities in the D = 3 Edwards-Anderson-Ising spin glass

TL;DR

This paper investigates the aging properties of dynamical heterogeneities in the 3D Edwards-Anderson-Ising spin glass, revealing a phase transition during aging and establishing a finite-time scaling framework with implications for experiments.

Contribution

It demonstrates a phase transition in aging dynamical heterogeneities and connects static and dynamic properties through finite-size and finite-time scaling analyses.

Findings

Identified a phase transition during aging in the spin glass.

Established a finite-time scaling framework for dynamic heterogeneities.

Computed critical exponents and transition point in equilibrium.

Abstract

We numerically study the aging properties of the dynamical heterogeneities in the Ising spin glass. We find that a phase transition takes place during the aging process. Statics-dynamics correspondence implies that systems of finite size in equilibrium have static heterogeneities that obey Finite-Size Scaling, thus signaling an analogous phase transition in the thermodynamical limit. We compute the critical exponents and the transition point in the equilibrium setting, and use them to show that aging in dynamic heterogeneities can be described by a Finite-Time Scaling Ansatz, with potential implications for experimental work.