A. K. Murtazaev, D. R. Kurbanova, M. K. Ramazanov, “Phase transitions and the thermodynamic properties of the Potts model with the number of spin states $q$ = 4 on a triangular lattice”, Fizika Tverdogo Tela, 61:11 (2019), 2195–2198; Phys. Solid State, 61:11 (2019), 2172

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Fizika Tverdogo Tela, 2019, Volume 61, Issue 11, Pages 2195–2198
DOI: https://doi.org/10.21883/FTT.2019.11.48428.520 (Mi ftt8636)

This article is cited in 9 scientific papers (total in 9 papers)

Lattice dynamics

Phase transitions and the thermodynamic properties of the Potts model with the number of spin states $q$ = 4 on a triangular lattice

A. K. Murtazaev, D. R. Kurbanova, M. K. Ramazanov

Daghestan Institute of Physics after Amirkhanov, Makhachkala, Dagestan, Russia

Full-text PDF (235 kB) Citations (9)

DOI: https://doi.org/10.21883/FTT.2019.11.48428.520

Abstract: The phase transitions and the thermodynamic properties of the two-dimensional ferromagnetic Potts model with the number of spin states $q$ = 4 on a triangular lattice are studied on the base of the Wang–Landau algorithm of the Monte Carlo method. The phase transition characters are analyzed using the method of the four-order Binder cumulants and the histogram analysis of the data. It is found that a first-order phase transition is observed in the model under study.

Keywords: phase transitions, critical phenomena, Potts model, Monte-Carlo method.

Funding agency	Grant number
Russian Foundation for Basic Research	18-32-00391-мол-а
This work was supported by the Russian foundation for Basic Research, project no. 18-32-00391-mol-a.

Received: 18.06.2019
Revised: 18.06.2019
Accepted: 18.06.2019

English version:
Physics of the Solid State, 2019, Volume 61, Issue 11, Pages 2172–2176
DOI: https://doi.org/10.1134/S1063783419110234

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: A. K. Murtazaev, D. R. Kurbanova, M. K. Ramazanov, “Phase transitions and the thermodynamic properties of the Potts model with the number of spin states $q$ = 4 on a triangular lattice”, Fizika Tverdogo Tela, 61:11 (2019), 2195–2198; Phys. Solid State, 61:11 (2019), 2172–2176

Citation in format AMSBIB

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\paper Phase transitions and the thermodynamic properties of the Potts model with the number of spin states $q$ = 4 on a triangular lattice

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\vol 61

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\pages 2195--2198

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\crossref{https://doi.org/10.21883/FTT.2019.11.48428.520}

\elib{https://elibrary.ru/item.asp?id=41300793}

\transl

\jour Phys. Solid State

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\vol 61

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\crossref{https://doi.org/10.1134/S1063783419110234}

Linking options:

https://www.mathnet.ru/eng/ftt8636

https://www.mathnet.ru/eng/ftt/v61/i11/p2195

This publication is cited in the following 9 articles:

M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, M. K. Mazagaeva, A. A. Murtazaeva, “Studying the Effect of Strong Magnetic Fields on the Phase Transitions of the Frustrated Potts Model with a Number of Spin States q = 4”, Phys. Metals Metallogr., 123:3 (2022), 290
M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, “Frustrated Potts Model with Number of Spin States q = 4 in Magnetic Field”, J. Exp. Theor. Phys., 134:6 (2022), 693
M.K. Ramazanov, A.K. Murtazaev, M.A. Magomedov, “Phase transitions in the frustrated Potts model in the magnetic field”, Physica E: Low-dimensional Systems and Nanostructures, 140 (2022), 115226
M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, T. R. Rizvanova, A. A. Murtazaeva, “Phase diagram of the Potts model with the number of spin states q = 4 on a kagome lattice”, Low Temperature Physics, 47:5 (2021), 396
A. K. Murtazaev, M. K. Mazagaeva, M. K. Ramazanov, M. A. Magomedov, A. A. Murtazaevа, “Phase diagram of the Potts model with the number of spin states $q$ = 4 on a hexagonal lattice”, Phys. Solid State, 63:5 (2021), 742–747
A. K. Murtazaev, M. K. Mazagaeva, M. K. Ramazanov, M. A. Magomedov, “Phase Diagram of the Antiferromagnetic Potts Model with Number q = 4 of Spin States in the Hexagonal Lattice”, Phys. Metals Metallogr., 122:5 (2021), 428
D. R. Kurbanova, A. K. Murtazaev, M. K. Ramazanov, M. A. Magomedov, T. A. Taaev, “Frustrated Potts Model with Spin States Number q = 4 on a Triangular Lattice”, J. Exp. Theor. Phys., 131:6 (2020), 951
A. K. Murtazaev, T. R. Rizvanova, M. K. Ramazanov, M. A. Magomedov, “Phase transitions and the thermodynamic properties of the Potts model with the spin state number $q$ = 4 at a kagome lattice”, Phys. Solid State, 62:8 (2020), 1434–1438
M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, M. K. Mazagaeva, “Phase transformations and thermodynamic properties of the Potts model with $q$ = 4 on a hexagonal lattice with interactions of next-nearest neighbors”, Phys. Solid State, 62:3 (2020), 499–503

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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