Nonequilibrium Dynamics and Aging in the Three--Dimensional Ising Spin Glass Model

TL;DR

This study uses Monte Carlo simulations to analyze the nonequilibrium aging dynamics of the 3D Ising spin glass, revealing algebraic decay behaviors consistent with experimental observations.

Contribution

It provides detailed simulation results on aging and nonequilibrium dynamics in the 3D Ising spin glass, aligning theoretical models with experimental data.

Findings

Thermoremanent magnetization decays algebraically with temperature-dependent exponents.

Autocorrelation function exhibits a crossover from quasi-equilibrium to faster decay.

Exponents for autocorrelation and magnetization are similar.

Abstract

The low temperature dynamics of the three dimensional Ising spin glass in zero field with a discrete bond distribution is investigated via MC simulations. The thermoremanent magnetization is found to decay algebraically and the temperature dependent exponents agree very well with the experimentally determined values. The nonequilibrium autocorrelation function $C(t,t_w)$ shows a crossover at the waiting (or {\em aging}) time $t_w$ from algebraic {\em quasi-equilibrium} decay for times $t$$\ll$$t_w$ to another, faster algebraic decay for $t$$\gg$$t_w$ with an exponent similar to one for the remanent magnetization.