Abstract
The phase transitions in the 5-state 3d site-diluted Potts model are investigated by means of the computer simulation methods. We address systems with liner sizes L × L × L = N, L = 20 ÷ 160 at p = 1.00, 0.90, 0.85, and 0.80. Based on the analysis of the fourth-order Binder cumulants and the histogram data analysis, the position of the tricritical point at the phase diagram is determined.
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Stanley, H.E.: Introduction to phase transitions and critical phenomena. Oxford Univ. Press, New York (1987)
Chaikin, P.M., Lubensky, T.C.: Principles of condensed matter physics. Cambridge Univ. Press, Cambridge (2000)
Vasilyev, O., Berche, B., Dudka, M., Holovatch, Yu.: Phys. Rev. E 92, 042118 (2015)
Folk, R., Holovatch, Yu.: Yavors’kii, T. Phys. Rev. B 61, 15114 (2000)
Harris, A.B.J.: Phys. C 7, 1671 (1974)
Prudnikov, V.V., Vakilov, A.N.: Sov. Phys. JETP 74, 990 (1992)
Babaev, A.B., Murtazaev, A.K.: Math. Models Comput. Simul. 11, 575 (2019)
Dotsenko, Vik., Dotsenko, Vl.: Adv. Phys. 32, 129 (1983)
Aizenman, M., Wehr, J.: Phys. Rev. Lett. 62, 2503 (1989)
Dubs, V.V., Prudnikov, V.V., Prudnikov, P.V.: Teor. Mat. Fiz. 190, 419 (2017)
Wu, F.Y.: Rev. Mod. Phys. 54, 235 (1982)
Baxter, R.J.: Exactly solved models in statistical mechanics. Academic Press, London (1982)
Fernandez, L.A., Gordillo-Guerrero, A., Martin-Mayor, V., Ruiz-Lorenzo, J.J.: Phys. Rev. B 86, 184428 (2012)
Wolff, U.: Phys. Lett. 62, 361 (1989)
Babaev, A.B., Murtazaev, A.K.: Vestnik Omskogo universiteta. Herald of Omsk University 25, 7 (2020)
Alves, N.A., Berg, B.A., Villanova, R.: Phys. Rev. B. 41, 383 (1990)
Wiseman, S., Domany, E.: Phys. Rev. E 58, 2938 (1998)
Eichhorn, K., Binder, K.: J. Phys.: Condens. Matter. 8, 5209 (1996)
Murtazaev, A.K., Babaev, A.B.: Mater. Lett. 258, 126771 (2020)
Murtazaev, A.K., Babaev, A.B.: J. Magn. Magn. Mater. 440, 101 (2017)
Murtazaev, A.K., Babaev, A.B.: J. Magn. Magn. Mater. 324, 3870 (2012)
Loison, D., Schotte, K.D.: Eur. Phys. J. B 5, 735 (1998)
Wu, F.Y.: Exactly solved models: a journey in statistical mechanics. World Scientific, London (2009)
Babaev, A.B., Murtazaev, A.K.: JETP Lett. 105, 384 (2017)
Wilson, W.G.: Phys. Lett. A 137, 398 (1989)
Chatelain, C., Berche, B., Janke, W., Berche, P.E.: Nuclear Phys. B. 719/3, 275 (2005)
Yin, J.Q., Zheng, B., Prudnikov, V.V., Trimper, S.: Eur. Phys. J. B 49, 195 (2006)
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Murtazaev, A.K., Babaev, A.B. Phase Transitions in a Three-Dimensional Site-Diluted 5-State Potts Model. J Supercond Nov Magn 35, 2205–2208 (2022). https://doi.org/10.1007/s10948-022-06259-9
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DOI: https://doi.org/10.1007/s10948-022-06259-9