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Fizika Tverdogo Tela, 2020, Volume 62, Issue 7, Pages 1088–1090
DOI: https://doi.org/10.21883/FTT.2020.07.49478.051 (Mi ftt8379) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Phase transitions

Phase transitions in the two-dimensional slightly diluted five-vertex Potts model

A. K. Murtazaevab, A. B. Babaevac, G. Ya. Ataevaa

a Daghestan Institute of Physics after Amirkhanov
b Daghestan State University, Makhachkala
c Daghestan State Pedagogical University
Full-text PDF (247 kB) Citations (3)
DOI: https://doi.org/10.21883/FTT.2020.07.49478.051
Abstract: 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 $L\times L = N$, $L$ = 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.
Keywords: impurity, Monte Carlo method, magnetic system, Potts model.
Funding agency Grant number
Russian Foundation for Basic Research 18-32-20098 мол_а_вед
This work was supported by the Russian Foundation for Basic Research, project no. 18-32-20098 mol_a_ved.
Received: 26.02.2020
Revised: 26.02.2020
Accepted: 12.03.2020
English version:
Physics of the Solid State, 2020, Volume 62, Issue 7, Pages 1228–1230
DOI: https://doi.org/10.1134/S1063783420070185
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. K. Murtazaev, A. B. Babaev, G. Ya. Ataeva, “Phase transitions in the two-dimensional slightly diluted five-vertex Potts model”, Fizika Tverdogo Tela, 62:7 (2020), 1088–1090; Phys. Solid State, 62:7 (2020), 1228–1230
Citation in format AMSBIB
\Bibitem{MurBabAta20}
\by A.~K.~Murtazaev, A.~B.~Babaev, G.~Ya.~Ataeva
\paper Phase transitions in the two-dimensional slightly diluted five-vertex Potts model
\jour Fizika Tverdogo Tela
\yr 2020
\vol 62
\issue 7
\pages 1088--1090
\mathnet{http://mi.mathnet.ru/ftt8379}
\crossref{https://doi.org/10.21883/FTT.2020.07.49478.051}
\elib{https://elibrary.ru/item.asp?id=43800533}
\transl
\jour Phys. Solid State
\yr 2020
\vol 62
\issue 7
\pages 1228--1230
\crossref{https://doi.org/10.1134/S1063783420070185}
Linking options:
  • https://www.mathnet.ru/eng/ftt8379
  • https://www.mathnet.ru/eng/ftt/v62/i7/p1088
    • This publication is cited in the following 3 articles:
    1. A. K. Murtazaev, A. B. Babaev, “Computer Simulation of the Phase Transitions in Three-Dimensional Weakly Diluted Spin Systems”, J. Surf. Investig., 16:2 (2022), 221  crossref
    2. A. K. Murtazaev, A. B. Babaev, G. Ya. Ataeva, A. A. Murtazaeva, “Phase Transitions in Two-Dimensional Structures Described by Impurity Potts Models”, J. Surf. Investig., 15:5 (2021), 1076  crossref
    3. A. K. Murtazaev, A. B. Babaev, “Effect of Quenched Nonmagnetic Impurities on the Phase Transitions in a Three-Dimensional Potts Model”, J. Exp. Theor. Phys., 132:6 (2021), 917  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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