MODELING OF THREE-STATE ANTIFERROMAGNETIC POTTS MODEL ON A SIMPLE CUBIC LATTICE BY THE MONTE CARLO METHOD
- Authors: Babaev A.B.1, Murtazaev A.K.1
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Affiliations:
- Amirkhanov Institute of Physics of the Daghestan Federal Research Centre of the Russian Academy of Sciences
- Issue: Vol 126, No 6 (2025)
- Pages: 674-679
- Section: ЭЛЕКТРИЧЕСКИЕ И МАГНИТНЫЕ СВОЙСТВА
- URL: https://journal-vniispk.ru/0015-3230/article/view/281826
- DOI: https://doi.org/10.31857/S0015323025060054
- ID: 281826
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Abstract
Computer simulation of phase transitions in a three-state antiferromagnetic Potts model on a simple cubic lattice is carried out. Using the Monte Carlo method, the temperature dependences of the order parameter mAF, the susceptibility χ, and the heat capacity C. Systems with linear dimensions L×L×L=N, L=10–50 are considered. Using histogram data analysis and the fourth-order Binder cumulant method it is shown that a second-order phase transition occurs in the Potts model under consideration. The critical temperature Tc has been determined with good accuracy.
About the authors
Albert Babevich Babaev
Amirkhanov Institute of Physics of the Daghestan Federal Research Centre of the Russian Academy of Sciences
Author for correspondence.
Email: b_albert78@mail.ru
Russian Federation, Makhachkala, 367010 Russia
Akay Kurbanovich Murtazaev
Amirkhanov Institute of Physics of the Daghestan Federal Research Centre of the Russian Academy of Sciences
Email: akai2005@mail.ru
Russian Federation, Makhachkala, 367010 Russia
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