Nonequilibrium critical dynamics of the three-dimensional gauge glass

TL;DR

This paper investigates the non-equilibrium aging dynamics of the three-dimensional gauge glass model at criticality using Monte Carlo simulations, revealing specific aging exponents and fluctuation-dissipation ratios.

Contribution

It provides the first detailed analysis of aging behavior and fluctuation-dissipation relations for the 3D gauge glass at critical temperature.

Findings

Identified multiplicative aging scaling in correlation and response functions.

Calculated aging exponent $b$ and autocorrelation decay exponent $\\lambda_c/z_c$.

Determined the critical fluctuation-dissipation ratio $X_\infty$.

Abstract

We study the non-equilibrium aging behavior of the gauge glass model in three dimensions at the critical temperature. We perform Monte Carlo simulations with a Metropolis update, and correlation and response functions are calculated for different waiting times. We obtain a multiplicative aging scaling of the correlation and response functions, calculating the aging exponent $b$ and the nonequilibrium autocorrelation decay exponent $\lambda_c/z_c$. We also analyze the fluctuation-dissipation relationship at the critical temperature, obtaining the critical fluctuation-dissipation ratio $X_\infty$. By comparing our results with the aging scaling reported previously for a model of interacting flux lines in the vortex glass regime, we found that the exponents for both models are very different.