Phase Transitions in the Two-Dimensional Slightly Diluted Five-Vertex Potts Model

Phase transitions in the two-dimensional slightly diluted Potts model on a square lattice at q = 5 have been studied using the computer simulation method. The systems with linear sizes L × L = N , L = 10–120 are considered. It is shown based on the forth-order Binder cumulants and using the histogra...

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Bibliographic Details
Published in:Physics of the solid state 2020-07, Vol.62 (7), p.1228-1230
Main Authors: Murtazaev, A. K., Babaev, A. B., Ataeva, G. Ya
Format: Article
Language:English
Subjects:
Computer simulation
Dilution
Histograms
Phase Transitions
Physics
Physics and Astronomy
Solid State Physics
Two dimensional models
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Summary:Phase transitions in the two-dimensional slightly diluted Potts model on a square lattice at q = 5 have been studied using the computer simulation method. The systems with linear sizes L × L = N , L = 10–120 are considered. It is shown based on the forth-order Binder cumulants and using the histogram analysis of the data that the introduction of nonmagnetic impurities to a spin system described by the two-dimensional Potts model with q = 5 leads to a change of the first-order phase transition to a second-order phase transition.
ISSN:1063-7834
1090-6460
DOI:10.1134/S1063783420070185