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Daghestan Electronic Mathematical Reports, 2020, Issue 13, Pages 57–64
DOI: https://doi.org/10.31029/demr.13.4 (Mi demr81) 		 
Computer simulation of the Potts model with the number of spin states $q = 4$ on a triangular lattice

M. K. Ramazanov, A. K. Murtazaev

Daghestan Scientific Centre of Russian Academy of Sciences, Makhachkala
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DOI: https://doi.org/10.31029/demr.13.4
URL: https://mathreports.ru/articles/computer-simulation-of-the-potts-model-with-the-number-of-spin-states-q-4-on-a-triangular-lattice/index.php
Abstract: Based on the Wang-Landau algorithm, the Monte Carlo method is used to study the thermodynamic properties of the two-dimensional Potts model with the number of spin states $q=4$ on a triangular lattice, taking into account the interactions of the first and second nearest neighbors. It is shown that taking into account antiferromagnetic interactions of the second nearest neighbors leads to frustration.
Keywords: Monte Carlo method, Wang-Landau algorithm, frustration.
Received: 02.06.2020
Revised: 16.07.2020
Accepted: 17.07.2020
Document Type: Article
UDC: 239.2
Language: Russian
Citation: M. K. Ramazanov, A. K. Murtazaev, “Computer simulation of the Potts model with the number of spin states $q = 4$ on a triangular lattice”, Daghestan Electronic Mathematical Reports, 2020, no. 13, 57–64
Citation in format AMSBIB
\Bibitem{RamMur20}
\by M.~K.~Ramazanov, A.~K.~Murtazaev
\paper Computer simulation of the Potts model with the number of spin states $q = 4$ on a triangular lattice
\jour Daghestan Electronic Mathematical Reports
\yr 2020
\issue 13
\pages 57--64
\mathnet{http://mi.mathnet.ru/demr81}
\crossref{https://doi.org/10.31029/demr.13.4}
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