A cluster controller for transition matrix calculations

David Yevick and Yong Hwan Lee ()
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David Yevick: Department of Physics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada
Yong Hwan Lee: Department of Physics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada

International Journal of Modern Physics C (IJMPC), 2019, vol. 30, issue 04, 1-11

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.

Keywords: Monte-Carlo methods; statistical physics; transition matrix methods; phase transitions; cluster algorithms (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1142/S0129183119500190

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