Herald of Omsk University

Investigation of thermodynamic parameters in the weakly diluted four-component Potts model on a Hexagonal lattice and calculation of their relative dispersions

G. Ya. Ataeva, Albert Babaevich Babaev, Akai Kurbanovich Murtazaev

Published Sep 19, 2025• 0 citations

Abstract

Computer modelling of phase transitions in the four-component Potts model on a hexagonal lattice in pure and weakly diluted modes has been carried out. It is revealed that phase transitions of the second order are observed in the considered Potts models. The values of relative dispersions of magnetisation 𝑅𝑚, heat capacity and susceptibility are calculated. It is shown that for low-dimensional spin systems the values of the relativedispersions 𝑅𝑚, 𝑅𝑐, are different from zero at = and their decrease is observed at linear dimensions > 15.

DOI: 10.24147/1812-3996.2025.3.4-12

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