Phase Transitions in the Diluted Two-Dimensional Potts Model with the Number of Spin States q = 3 on a Square Lattice

The phase transitions in the two-dimensional diluted Potts model with the number of spin states q  = 3 are studied by computer simulation method. The systems with linear sizes L × L = N , L = 10–160 at spin concentrations p = 1.00, 0.80 are considered. The obtained numerical data show that the secon...

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Bibliographic Details
Published in:Physics of the solid state 2022-05, Vol.64 (5), p.264-270
Main Authors: Murtazaev, A. K., Babaev, A. B., Ataeva, G. Ya
Format: Article
Language:English
Subjects:
Analysis
Dilution
Phase transitions
Physics
Physics and Astronomy
Simulation methods
Solid State Physics
Two dimensional models
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Summary:The phase transitions in the two-dimensional diluted Potts model with the number of spin states q  = 3 are studied by computer simulation method. The systems with linear sizes L × L = N , L = 10–160 at spin concentrations p = 1.00, 0.80 are considered. The obtained numerical data show that the second-order phase transition takes place in the pure Potts model with the number of spin states q = 3, according to the theory. The introduction of a disorder in the form of nonmagnetic impurities ( p = 0.80) in the Potts model with q = 3 conserves the second-order phase transition.
ISSN:1063-7834
1090-6460
DOI:10.1134/S1063783422060051