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Phase Transitions in the Three-Dimensional Weakly Diluted Potts Model with q = 5

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Abstract

Using computer-based simulation methods, phase transitions in the three-dimensional weakly diluted Potts model with the spin state number q = 5 are studied. Systems with linear dimensions L × L × L = N, L = 10–40, at spin concentrations p = 1.00 and 0.90 are considered. The obtained numerical data indicate that introduction of a minor disorder in the form of nonmagnetic impurities (p = 0.90) into the three-dimensional Potts model with q = 5 is not significant for the first-order phase transition.

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REFERENCES

  1. L. N. Shchur, Phys. Usp. 55, 733 (2012).

    Article  Google Scholar 

  2. O. Vasilyev, B. Berche, M. Dudka, and Yu. Holovatch, Phys. Rev. E 92, 042118 (2015).

    Article  ADS  MathSciNet  Google Scholar 

  3. D. P. Landau and K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics (Cambridge Univ. Press, Cambridge, 2014).

    Book  Google Scholar 

  4. A. K. Murtazaev and A. B. Babaev, Mater. Lett. 258, 126771 (2020).

    Article  Google Scholar 

  5. A. K. Murtazaev, A. B. Babaev, and G. Y. Ataeva, J. Magn. Magn. Mater. 440, 101 (2017).

    Article  ADS  Google Scholar 

  6. F. Y. Wu, Exactly Solved Models: A Journey in Statistical Mechanics (World Scientific, London, 2009).

    Book  Google Scholar 

  7. L. A. Fernandez, A. Gordillo-Guerrero, V. Martin-Mayor, and J. J. Ruiz-Lorenzo, Phys. Rev. B 86, 184428 (2012).

    Article  ADS  Google Scholar 

  8. U. Wolff, Phys. Lett. 62, 361 (1989).

    Article  Google Scholar 

  9. A. B. Babaev and A. K. Murtazaev, Mat. Model. 30 (12), 55 (2018).

    Google Scholar 

  10. R. J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic, New York, 1982).

    MATH  Google Scholar 

  11. P. Peczac, A. M. Ferrenberg, and D. P. Landau, Phys. Rev. B 43, 6087 (1991).

    Article  ADS  Google Scholar 

  12. K. Eichhorn and K. Binder, J. Phys.: Condens. Matter 8, 5209 (1996).

    ADS  Google Scholar 

  13. A. K. Murtazaev and A. B. Babaev, Mater. Lett. 258, 126771 (2020).

    Article  Google Scholar 

  14. A. K. Murtazaev, A. B. Babaev, and G. Ya. Ataeva, Phys. Solid State 57, 1436 (2015).

    Article  ADS  Google Scholar 

  15. A. B. Babaev, T. R. Rizvanova, and A. K. Murtazaev, Phys. Solid State 59, 2444 (2017).

    Article  ADS  Google Scholar 

  16. D. Loison and K. D. Schotte, Eur. Phys. J. B 5, 735 (1998).

    Article  ADS  Google Scholar 

  17. A. B. Babaev and A. K. Murtazaev, JETP Lett. 105, 384 (2017).

    Article  ADS  Google Scholar 

  18. A. K. Murtazaev and A. B. Babaev, JETP Lett. 99, 535 (2014).

    Article  ADS  Google Scholar 

  19. D. R. Tan, C. D. Li, W. P. Zhu, and F. J. Jiang, New J. Phys. 22, 063016 (2020).

    Article  ADS  MathSciNet  Google Scholar 

  20. C. D. Li, D. R. Tan, and F. J. Jiang, Ann. Phys. 391, 312 (2018).

    Article  ADS  Google Scholar 

  21. A. B. Babaev and A. K. Murtazaev, Phys. Solid State 62, 851 (2020).

    Article  ADS  Google Scholar 

  22. A. K. Murtazaev and A. B. Babaev, Mater. Lett. 238, 321 (2019).

    Article  Google Scholar 

  23. A. B. Babaev and A. K. Murtazaev, Phys. Solid State 62, 1228 (2020).

    Article  Google Scholar 

  24. X. Qian, Y. Deng, and H. W. J. Blöte, Phys. Rev. E 72, 056132 (2005).

    Article  ADS  Google Scholar 

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Correspondence to A. B. Babaev.

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Translated by A. Nikol’skii

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Murtazaev, A.K., Babaev, A.B. Phase Transitions in the Three-Dimensional Weakly Diluted Potts Model with q = 5. Phys. Solid State 63, 1884–1888 (2021). https://doi.org/10.1134/S1063783421100267

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  • DOI: https://doi.org/10.1134/S1063783421100267

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