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arXiv · 1902.08870

A Cluster Controller for Transition Matrix Calculations

David Yevick·Yong Hwan Lee
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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.

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David Yevick, Yong Hwan Lee. 2019-02-24. A Cluster Controller for Transition Matrix Calculations. https://doi.org/10.1142/s0129183119500190

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