Scalable replica-exchange framework for Wang-Landau sampling

TL;DR

This paper presents a parallel replica-exchange framework for Wang-Landau sampling, enabling faster and larger-scale Monte Carlo simulations of complex systems across broad temperature ranges without loss of accuracy.

Contribution

It introduces a scalable, parallel framework for Wang-Landau sampling that enhances efficiency and applicability to complex, multi-structural systems.

Findings

Significant speedup in simulations.

Ability to study larger systems.

Broader temperature range coverage.

Abstract

We investigate a generic, parallel replica-exchange framework for Monte Carlo simulations based on the Wang-Landau method. To demonstrate its advantages and general applicability for massively parallel simulations of complex systems, we apply it to lattice spin models, the self-assembly process in amphiphilic solutions, and the adsorption of molecules on surfaces. While of general, current interest, the latter phenomena are challenging to study computationally because of multiple structural transitions occurring over a broad temperature range. We show how the parallel framework facilitates simulations of such processes and, without any loss of accuracy or precision, gives a significant speedup and allows for the study of much larger systems and much wider temperature ranges than possible with single-walker methods.