Percolation and cluster Monte Carlo dynamics for spin models

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.

17 pages LaTeX + 16 figures; will appear in Phys. Rev. E

References in corpus (3)

• A Cluster Method for the Ashkin--Teller Model
• Dual Monte Carlo and Cluster Algorithms
• Cluster mechanisms in the fully frustrated Ising model

Cited by in corpus (14)

• Cluster Monte Carlo and numerical mean field analysis for the water liquid--liquid phase transition
• Phase transitions in the Potts spin glass model
• Hydrogen bond correlated percolation in a supercooled water monolayer as a hallmark of the critical region
• Invaded Cluster Dynamics for Frustrated Models
• Cluster Analysis for Percolation on Two Dimensional Fully Frustrated System
• Cluster Percolation in the Two-Dimensional Ising Spin Glass
• An Introduction to Monte Carlo Simulation of Statistical physics Problem
• Reduction of Dilute Ising Spin Glasses
• Percolation and Cluster Formalism in Continuous Spin Systems
• Solution of Disordered Microphases in the Bethe approximation
• Non-equilibrium criticality and efficient exploration of glassy landscapes with memory dynamics
• Cluster percolation in the three-dimensional $\pm J$ random-bond Ising model
• Avoiding critical slowdown in models with SALR interactions
• Efficient simulation of a pair of dissipative qubits antiferromagnetically coupled