Transition Matrix Cluster Algorithms

TL;DR

This paper introduces an improved method for calculating transition matrices in the Ising model by combining single-spin flip techniques with global cluster flips, enhancing computational efficiency.

Contribution

It presents a novel integration of cluster flipping with traditional transition matrix methods to improve density of states calculations.

Findings

Enhanced efficiency in transition matrix calculations.

Accurate density of states estimation using combined methods.

Validation on Ising model demonstrates effectiveness.

Abstract

We demonstrate that a series of procedures for increasing the efficiency of transition matrix calculations can be realized by integrating the standard single-spin flip transition matrix method with global cluster flipping techniques. Our calculations employ a simple and accurate method based on detailed balance for computing the density of states from the Ising model transition matrix.