Numerical Study on Aging Dynamics in the 3D Ising Spin-Glass Model. I. Energy Relaxation and Domain Coarsening

TL;DR

This study uses Monte Carlo simulations to analyze energy relaxation and domain coarsening in the aging process of the 3D Ising spin-glass model, supporting droplet theory predictions.

Contribution

It provides numerical evidence that energy relaxation occurs via domain wall coarsening driven by thermally activated droplet nucleation in spin glasses.

Findings

Energy relaxes through domain wall coarsening.

Relaxation times support droplet nucleation mechanism.

Results align with droplet theory predictions.

Abstract

Using Monte Carlo simulations, we have studied the relaxation of energy of the three-dimensional Ising spin-glass model in aging process. Our finite-size-scaling analysis on the isothermal energy decay after the quench suggests strongly that the energy relaxes by coarsening of domain walls in agreement with the droplet theory. We have also evaluated relaxation times required for spin configurations in small systems, which are regarded as isolated droplets, to flip globally. The results support the fundamental assumption of the droplet theory that coarsening of domain walls, in case of spin glasses, is driven by successive nucleation of thermally activated droplets.