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Matematicheskoe modelirovanie, 2018, Volume 30, Number 12, Pages 55–62 (Mi mm4026)  

This article is cited in 11 scientific papers (total in 11 papers)

Calculation of relative variance of the magnetization and susceptibility in a disordered Ising model. Results of Monte Carlo simulation

A. B. Babaevab, A. K. Murtazaevac

a Institute of Physics, Dagestan Scientific Center of RAS
b Department of Mathematics and Computer Science, Dagestan Scientific Center of RAS
c Daghestan State University
References:
Abstract: Based on the Monte Carlo method, the relative dispersions of the magnetization $R_m$ and the susceptibility $R_\chi$ in the disordered Ising model are calculated as a function of the degree of dilution of the disorder. It is shown, that the introduction of disorder in the form of nonmagnetic impurities in the three-dimensional Ising model leads to a nonzero values for $R_m$ and $R_\chi$ at the critical point.
Keywords: Ising model, disorder, dispersion, Monte Carlo.
Received: 01.03.2018
English version:
Mathematical Models and Computer Simulations, 2019, Volume 11, Issue 4, Pages 575–580
DOI: https://doi.org/10.1134/S2070048219040021
Document Type: Article
Language: Russian
Citation: A. B. Babaev, A. K. Murtazaev, “Calculation of relative variance of the magnetization and susceptibility in a disordered Ising model. Results of Monte Carlo simulation”, Matem. Mod., 30:12 (2018), 55–62; Math. Models Comput. Simul., 11:4 (2019), 575–580
Citation in format AMSBIB
\Bibitem{BabMur18}
\by A.~B.~Babaev, A.~K.~Murtazaev
\paper Calculation of relative variance of the magnetization and susceptibility in a disordered Ising model. Results of Monte Carlo simulation
\jour Matem. Mod.
\yr 2018
\vol 30
\issue 12
\pages 55--62
\mathnet{http://mi.mathnet.ru/mm4026}
\transl
\jour Math. Models Comput. Simul.
\yr 2019
\vol 11
\issue 4
\pages 575--580
\crossref{https://doi.org/10.1134/S2070048219040021}
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  • https://www.mathnet.ru/eng/mm/v30/i12/p55
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    References:46
    First page:11
     
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