Ageing at the Spin-Glass/Ferromagnet Transition: Monte Carlo Simulation using GPUs

TL;DR

This paper investigates the non-equilibrium ageing behavior at the spin-glass/ferromagnet transition using large-scale Monte Carlo simulations accelerated by GPUs, revealing signatures of the disorder-driven transition.

Contribution

It introduces a GPU-accelerated Monte Carlo simulation method to study ageing in the 3D Edwards-Anderson model across the transition.

Findings

Detected clear signatures of the disorder-driven transition in non-equilibrium behavior

Measured spin glass correlation functions and extracted growth exponents

Achieved simulation times up to 10^8 sweeps with high temporal resolution

Abstract

We study the the non-equilibrium ageing behaviour of the +/-J Edwards-Anderson model in three dimensions for samples of size up to N=128^3 and for up to 10^8 Monte Carlo sweeps. In particular we are interested in the change of the ageing when crossing from the spin-glass phase to the ferromagnetic phase. The necessary long simulation times are reached by employing a CUDA-based GPU implementation, which allows for single-spin flip times as small as 8ps. We measure typical spin glass correlation functions in space and time to determine the growing length scale and extract the constituting exponents. We observe a clear signature of the disorder-driven equilibrium transition in the non-equilibrium behavior.