Microcanonical cluster algorithms

TL;DR

This paper introduces a novel numerical simulation algorithm that combines microcanonical energy transfer with cluster updates, enhancing efficiency near critical points and allowing control over cluster size.

Contribution

The proposed method uniquely integrates microcanonical transfer with cluster algorithms, improving simulation speed and tunability near critical phenomena.

Findings

Enhanced simulation speed near critical points

Ability to tune average cluster size

Combines microcanonical transfer with cluster updates

Abstract

I propose a numerical simulation algorithm for statistical systems which combines a microcanonical transfer of energy with global changes in clusters of spins. The advantages of the cluster approach near a critical point augment the speed increases associated with multi-spin coding in the microcanonical approach. The method also provides a limited ability to tune the average cluster size.