Phase transitions in a three-dimensional ferromagnetic Potts model on a layered hexagonal lattice
Ramazanov M.K. 1, Magomedov M.A.1, Murtazaev A.K. 1
1Institute of Physics, Dagestan Federal Research Center, Russian Academy of Sciences, Makhachkala, Russia
Email: sheikh77@mail.ru
A Monte Carlo study was conducted of the phase transitions and magnetic and thermodynamic properties of a three-dimensional ferromagnetic Potts model with q=3 spin states on a layered hexagonal lattice with nearest-neighbor interactions. Temperature dependences of energy, heat capacity, magnetization, and susceptibility were constructed. The nature of the phase transition was analyzed using a histogram data analysis method and the fourth-order Binder cumulant method. It was shown that a first-order phase transition is observed in the model under study. Keywords: Energy, Magnetization, Susceptibility, Heat capacity.
- M. Schmidt, G.L. Kohlrausch, F.M. Zimmer. Physica A 596, 127126 (2022)
- K. Dutta, D. Talukdar. JMMM 556, 169344 (2022)
- D.N. Yasinskaya, V.A. Ulitko, Yu.D. Panov. FTT 63, 1350 (2021) (in Russian)
- A.O. Sorokin. Physica A 602, 127621 (2022)
- M.K. Ramazanov, A.K. Murtazaev. FTT 65, 1455 (2023) (in Russian)
- I.K. Kamilov, A.K. Murtazaev, Kh.K. Aliev. UFN 169, 773 (1999) (in Russian)
- K. Binder, D. Heermann. Monte Carlo Simulation in Statistical Physics: An Introduction (Springer, Berlin, Heidelberg, 2010)
- R.J. Baxter. J. Phys. C 6, 445 (1973)
- F.Y. Wu. Rev. Mod. Phys. 54, 235 (1982)
- M.A. Fadeeva, L.N. Schur. ZhETF 162, 909 (2022) (in Russian)
- M.K. Ramazanov, A.K. Murtazaev, M.A. Magomedov, M.K. Mazagaeva, FMM 124, 339 (2023) (in Russian)
- M. Nauenberg, D.J. Scalapino. Phys. Rev. Lett. 44, 837 (1980)
- J.L. Cardy, M. Nauenberg, D.J. Scalapino. Phys. Rev. B 22, 2560 (1980)
- M.K. Ramazanov, A.K. Murtazaev, M.A. Magomedov. Phys. A 521, 543 (2019)
- H. Feldmann, A.J. Guttmann, I. Jensen, R. Shrock, S.-H. Tsai. J. Phys. A 31, 2287 (1998)
- F.A. Kassan-Ogly, A.I. Proshkin. Phys. Solid State 60, 1090 (2018)
- H.T. Diep. Frustrated Spin Systems. World Scientific Publishing Co. Pte. Ltd., Singapore (2004). P. 624
- Y. Huang, K. Chen, Y. Deng, J.L. Jacobsen, R. Kotecky, J. Salas, A.D. Sokal, J.M. Swart. Phys. Rev. E 87, 012136 (2013)
- R. Igarashi, M. Ogata. J. Phys.: Conf. Ser. 200, 022019 (2010)
- M.K. Ramazanov, M.A. Magomedov, A.K. Murtazaev, M.K. Mazagaeva. ZhETF 168, 495 (2025) (in Russian)
- M.K. Ramazanov, A.K. Murtazaev, T.R. Rizvanova, M.R. Dzhamaludinov, M.A. Magomedov. FTT, 67, 1760 (2025) (in Russian)
- G.R. Golner. Phys. Rev. B 8, 3419 (1973)
- K.G. Wilson, J. Kogut. Phys. Rep. 12, 75 (1974)
- C.A. Sanchez-Villalobos, B. Delamotte, N. Wschebor. Phys. Rev. E 108, 064120 (2023)
- J. Gaite. Nucl. Phys. B 1011, 116801 (2025)
- M.K. Ramazanov, A.K. Murtazaev. Pisma v ZhETF 106, 72 (2017) (in Russian)
- M.K. Ramazanov, A.K. Murtazaev, M.A. Magomedov, M.K. Mazagaeva. FTT 62, 442 (2020) (in Russian)
- M.K. Ramazanov, A.K. Murtazaev. Pisma v ZhETF 109, 610 (2019) (in Russian)
- A. Mitsutake, Y. Sugita, Y. Okamoto. Biopolymers (Peptide Science) 60, 96 (2001)
- F. Wang, D.P. Landau. Phys. Rev. E 64, 0561011--1 (2001)
- F. Wang, D.P. Landau. Phys. Rev. Lett. 86, 2050 (2001).
Подсчитывается количество просмотров абстрактов ("html" на диаграммах) и полных версий статей ("pdf"). Просмотры с одинаковых IP-адресов засчитываются, если происходят с интервалом не менее 2-х часов.
Дата начала обработки статистических данных - 27 января 2016 г.