Abstract:
We analyzed the accuracy and performance of the Wang-Landau algorithm in calculating the density of states for the two-dimensional Ising model. Our findings indicate that calculating the density of states simultaneously by energy and magnetization enhances the accuracy of energy moment estimations. As the lattice size increases, the relative error in the density of states decreases. However, for large lattices, it is not possible to estimate the execution time of the algorithm in advance, as the criterion for switching to the $1/t$ mode is never met.
Keywords:Wang-Landau algorithm, density of states, algorithm performance, critical transition.
this study is a part of the FNEF-2024-0001 government order contracted to the Scientific Research Institute for System Analysis of the Russian Academy of Sciences.
Document Type:
Article
Language: Russian
Citation:
V. I. Egorov, B. V. Kryzhanovsky, “Analyzing the accuracy and performance of the Wang-Landau algorithm for calculating the density of states in the Ising model”, Russian Journal of Cybernetics, 5:2 (2024), 46–52
\Bibitem{EgoKry24}
\by V.~I.~Egorov, B.~V.~Kryzhanovsky
\paper Analyzing the accuracy and performance of the Wang-Landau algorithm for calculating the density of states in the Ising model
\jour Russian Journal of Cybernetics
\yr 2024
\vol 5
\issue 2
\pages 46--52
\mathnet{http://mi.mathnet.ru/uk154}
\crossref{https://doi.org/10.51790/2712-9942-2024-5-2-05}
Citation in format AMSBIB
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