A Simple Method to Make the Wang-Landau Sampling Converge

TL;DR

This paper introduces a straightforward enhancement to Wang-Landau sampling that uses a histogram to ensure convergence of the density of states without additional computational costs, combining benefits of WL and multicanonical methods.

Contribution

The authors propose a simple, cost-effective technique to improve the convergence of Wang-Landau sampling by utilizing a histogram during the simulation.

Findings

Histogram-based convergence improves DOS accuracy.

Method integrates seamlessly with existing WL algorithms.

Enhanced sampling efficiency demonstrated.

Abstract

We show that a histogram maintained throughout the Wang-Landau (WL) sampling for the energy entries visited during the simulation could be used to make the simulated density of states (DOS) converge. The method is easy to be implemented to the WL sampling with no extra computational cost and bears the advantages of both the WL method and the multicanonical method.