A Cluster Controller for Transition Matrix Calculations
Statistical Mechanics
2019-06-26 v1
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.
Cite
@article{arxiv.1902.08870,
title = {A Cluster Controller for Transition Matrix Calculations},
author = {David Yevick and Yong Hwan Lee},
journal= {arXiv preprint arXiv:1902.08870},
year = {2019}
}