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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.

Full text: PDF file (418 kB)
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Received: 01.03.2018

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}


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