Universal dynamic scaling in three-dimensional Ising spin glasses

TL;DR

This study employs non-equilibrium simulations to investigate the dynamic scaling behavior of the three-dimensional Ising spin glass transition, providing evidence for universality in the dynamic exponent across different coupling distributions.

Contribution

It introduces a non-equilibrium simulation approach to determine the dynamic exponent and demonstrates universal dynamic scaling in 3D Ising spin glasses.

Findings

Dynamic exponent z ≈ 6 for both bimodal and Gaussian distributions.

Supports universality of dynamic scaling in 3D Ising spin glasses.

Method bypasses critical slowing-down issues in simulations.

Abstract

We use a non-equilibrium simulation method to study the spin glass transition in three-dimensional Ising spin glasses. The transition point is repeatedly approached at finite velocity $v$ (temperature change versus time) in Monte Carlo simulations starting at a high temperature. The normally problematic critical slowing-down is not hampering this kind of approach, since the system equilibrates quickly at the initial temperature and the slowing-down is merely reflected in the dynamic scaling of the non-equilibrium order parameter with $v$ and the system size. The equilibrium limit does not have to be reached. For the dynamic exponent we obtain $z = 5.85(9)$ for bimodal couplings distribution and $z=6.00(10)$ for the Gaussian case, thus supporting universal dynamic scaling (in contrast to recent claims of non-universal behavior).