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 Matem. Mod., 2018, Volume 30, Number 12, Pages 55–62 (Mi mm4026)

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

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.

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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

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}