Abstract:
Phase transitions and thermodynamic properties of the 2D ferromagnetic Potts model with the number of spin states qq = 4 on a kagome lattice are investigated by the Mote Carlo method based on the Wang-Landau algorithm. The orders of the phase transitions are investigated using the Binder fourth-order cumulant method and histogram analysis of data. It is established that a first-order transition is observed in the model being investigated.
Keywords:
Phase transitions, Monte Carlo method, Wang–Landau algorithm, Potts model, kagome lattice.
Citation:
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 qq = 4 at a kagome lattice”, Fizika Tverdogo Tela, 62:8 (2020), 1278–1282; Phys. Solid State, 62:8 (2020), 1434–1438
\Bibitem{MurRizRam20}
\by A.~K.~Murtazaev, T.~R.~Rizvanova, M.~K.~Ramazanov, M.~A.~Magomedov
\paper Phase transitions and the thermodynamic properties of the Potts model with the spin state number $q$ = 4 at a kagome lattice
\jour Fizika Tverdogo Tela
\yr 2020
\vol 62
\issue 8
\pages 1278--1282
\mathnet{http://mi.mathnet.ru/ftt8353}
\crossref{https://doi.org/10.21883/FTT.2020.08.49614.043}
\elib{https://elibrary.ru/item.asp?id=43818070}
\transl
\jour Phys. Solid State
\yr 2020
\vol 62
\issue 8
\pages 1434--1438
\crossref{https://doi.org/10.1134/S1063783420080247}
Linking options:
https://www.mathnet.ru/eng/ftt8353
https://www.mathnet.ru/eng/ftt/v62/i8/p1278
This publication is cited in the following 7 articles:
M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, T. R. Rizvanova, “ISSLEDOVANIE FAZOVYKh PEREKhODOV I TERMODINAMIChESKIKh SVOYSTV MODELI POTTSA S FRUSTRATsIYaMI NA REShETKE KAGOME”, Žurnal èksperimentalʹnoj i teoretičeskoj fiziki, 165:3 (2024)
K. Sh. Murtazaev, A. K. Murtazaev, M. K. Ramazanov, M. A. Magomedov, “Phase Transitions in an Antiferromagnetic Ising Model with Competitive Exchange Interactions in a Magnetic Field”, Bull. Russ. Acad. Sci. Phys., 86:2 (2022), 130
M. K. Ramazanov, A. K. Murtazaev, “Kompyuternoe modelirovanie dvumernoi modeli Pottsa s konkuriruyuschimi obmennymi vzaimodeistviyami”, Dagestanskie elektronnye matematicheskie izvestiya, 2021, no. 16, 16–23
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 qq = 4 on a hexagonal lattice”, Phys. Solid State, 63:5 (2021), 742–747
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
K. S. Murtazaev, A. K. Murtazaev, M. K. Ramazanov, M. A. Magomedov, A. A. Murtazaeva, “Ising model on a body-centered cubic lattice with competing exchange interactions in strong magnetic fields”, Low Temperature Physics, 47:6 (2021), 478
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
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