A Cluster Controller for Transition Matrix Calculations

Abstract

We demonstrate that a temperature schedule for single-spin flip transition matrix calculations can be simply and rapidly generated by monitoring the average size of the Wolff clusters at a set of discrete temperatures. Optimizing this schedule yields a potentially interesting quantity related to the fractal structure of Ising clusters. We also introduce a technique in which the transition matrix is constructed at a sequence of discrete temperatures at which Wolff cluster reversals are alternated with certain series of single-spin flip steps. The single spin-flip transitions are then employed to construct a single transition matrix.

References in corpus (3)

• Self-Learning Monte Carlo Method
• Optimal Modification Factor and Convergence of the Wang-Landau Algorithm
• Computer simulation of two continuous spin models using Wang-Landau-Transition-Matrix Monte Carlo Algorithm

Cited by in corpus (1)

• Accuracy and Efficiency of Simplified Tensor Network Codes