Performance of Wang-Landau algorithm in continuous spin models and a case study : modified XY-model

TL;DR

This paper evaluates the Wang-Landau algorithm's effectiveness in continuous spin models, focusing on energy fluctuations, finite size scaling, and challenges in simulating larger systems.

Contribution

It provides a detailed analysis of the Wang-Landau algorithm's performance in continuous models and introduces modifications to improve simulation efficiency.

Findings

Wang-Landau algorithm accurately captures energy fluctuations in continuous models.

Finite size scaling reveals size-dependent behavior in the modified XY-model.

Challenges in simulating large systems with Wang-Landau are identified and discussed.

Abstract

Performance of Wang-Landau (W-L) algorithm in two continuous spin models is tested by determining the fluctuations in energy histogram. Finite size scaling is performed on a modified XY-model using different W-L sampling schemes. Difficulties faced in simulating relatively large continuous systems using W-L algorithm are discussed.