Numerical Study of Aging Phenomena in Short-Ranged Spin Glasses

TL;DR

This paper uses Monte Carlo simulations to study aging in short-range Ising spin glasses, revealing a crossover in domain growth behavior and confirming droplet theory predictions for autocorrelation scaling.

Contribution

It provides the first detailed numerical analysis of aging phenomena in short-range spin glasses, highlighting the crossover in domain growth and validating droplet theory scaling.

Findings

Domain size growth crosses over from power-law to slower growth at low temperatures.

Spin-autocorrelation follows droplet theory scaling in the quasi-equilibrium regime.

Temperature dependence of growth law can be explained by crossover behavior.

Abstract

Aging phenomena of short-range Ising spin glass models have been investigated using Monte Carlo simulations. It is found that in the low-temperature spin-glass phase the mean domain size exhibits a crossover from a power-law growth associated with the critical fluctuation at the transition temperature to slower growth inherent in the low-temperature phase. The temperature dependence of the growth law of the domain size can be almost explained by this crossover. We also find that the spin-autocorrelation function in the quasi-equilibrium regime follows the expected scaling behavior from the droplet theory expressed in terms of the mean domain size and a characteristic length scale of droplet excitations.