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JOURNALS // Fizika Tverdogo Tela // Archive

Fizika Tverdogo Tela, 2023 Volume 65, Issue 7, Pages 1251–1255 (Mi ftt10769)

Phase transitions

Calculation of relative dispersions of magnetization, heat capacity and susceptibility in a two-dimensional weakly diluted 3-state Potts model

G. Ya. Ataevaa, A. B. Babaevba, A. K. Murtazaeva

a Daghestan Institute of Physics after Amirkhanov
b Daghestan Federal Research Centre of the Russian Academy of Sciences, Makhachkala, Russia

Abstract: Using the Monte Carlo method, the relative dispersions of magnetization $R_m$, heat capacity $R_c$ and susceptibility $R_\chi$ are calculated for a weakly diluted 3-state Potts model on a square lattice at a spin concentration $p$ = 0.90. It is revealed that the introduction of disorder in the form of nonmagnetic impurities into the two-dimensional Potts model leads to non-zero values for $R_m$, $R_c$, $R_\chi$ at the critical point. It is found that these values decrease markedly for systems with linear dimensions $L>$ 40.

Keywords: nonmagnetic impurities, dispersion, Potts model, Monte Carlo method, phase transition.

Received: 06.04.2023
Revised: 01.06.2023
Accepted: 03.06.2023

DOI: 10.21883/FTT.2023.07.55853.55



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© Steklov Math. Inst. of RAS, 2025