Percolation and cluster Monte Carlo dynamics for spin models

TL;DR

This paper discusses a general scheme for efficient cluster dynamics in spin models, highlighting the link between cluster properties and dynamic behavior, and applies it to frustrated spin systems.

Contribution

It introduces a comprehensive framework for cluster dynamics that connects equilibrium cluster properties with dynamic relaxation times, applied to frustrated spin models.

Findings

Cluster properties are strongly linked to dynamic relaxation times.

The scheme effectively models frustrated spin systems.

Results demonstrate improved understanding of spin dynamics.

Abstract

A general scheme for devising efficient cluster dynamics proposed in a previous letter [Phys.Rev.Lett. 72, 1541 (1994)] is extensively discussed. In particular the strong connection among equilibrium properties of clusters and dynamic properties as the correlation time for magnetization is emphasized. The general scheme is applied to a number of frustrated spin model and the results discussed.