Cluster Algorithm for a Solid-On-Solid Model with Constraints

TL;DR

This paper introduces a novel cluster algorithm adapted for the constrained BCSOS model, enabling more efficient simulations and analysis of its phases, including autocorrelation behavior.

Contribution

It is the first application of a cluster algorithm to a constrained SOS model, enhancing simulation capabilities.

Findings

The algorithm performs well in both phases of the model.

Finite size scaling analysis reveals autocorrelation properties.

First use of cluster algorithms for models with constraints.

Abstract

We adapt the VMR (valleys-to-mountains reflections) algorithm, originally devised by us for simulations of SOS models, to the BCSOS model. It is the first time that a cluster algorithm is used for a model with constraints. The performance of this new algorithm is studied in detail in both phases of the model, including a finite size scaling analysis of the autocorrelations.