Phase Transition and Thermodynamic Properties of the Hard-Core-Potts Model
Abstract
In this paper, Gibbs measures of the Hard-Core-Potts model on the Cayley tree are studied. The model unifies magnetic ordering and exclusion effects, providing a framework for describing phase transitions. For the hinge-type graph, the cases $k = 2$ and $k = 3$ are analyzed, and the corresponding critical parameters are determined. Thermodynamic analysis shows that the system exhibits ordered (ferromagnetic) phases at low temperatures and disordered (paramagnetic) phases at high temperatures. The results reveal the interrelation between magnetic and structural phase transitions.
About the Authors
Rustamjon M. KhakimovUzbekistan
Muhtorjon T. Makhammadaliev
Uzbekistan
Nodirbek N. Mutalliev
Uzbekistan
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Review
For citations:
Khakimov R.M., Makhammadaliev M.T., Mutalliev N.N. Phase Transition and Thermodynamic Properties of the Hard-Core-Potts Model. Nanosystems: Physics, Chemistry, Mathematics. 2026;17(1).
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