Replica-exchange Wang-Landau sampling: Pushing the limits of Monte Carlo simulations in materials sciences

TL;DR

This paper introduces a parallelized replica-exchange Wang-Landau sampling method that significantly accelerates Monte Carlo simulations in materials science, enabling the study of larger systems with maintained accuracy.

Contribution

The paper presents a generic, massively parallel implementation of the Wang-Landau method using replica exchange, improving speed and scalability for materials thermodynamics simulations.

Findings

Achieved significant speedup in simulations

Maintained accuracy and precision in results

Enabled study of larger systems than serial methods

Abstract

We describe the study of thermodynamics of materials using replica-exchange Wang-Landau (REWL) sampling, a generic framework for massively parallel implementations of the Wang-Landau Monte Carlo method. To evaluate the performance and scalability of the method, we investigate the magnetic phase transition in body-centered cubic (bcc) iron using the classical Heisenberg model parametrized with first principles calculations. We demonstrate that our framework leads to a significant speedup without compromising the accuracy and precision and facilitates the study of much larger systems than is possible with its serial counterpart.