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”, Mat. Model., 30:12 (2018), 55–62; Math. Models Comput. Simul., 11:4 (2019), 575

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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. Babaev^ab, A. K. Murtazaev^ac

^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

Full-text PDF (418 kB) Citations (11)

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Abstract: Based on the Monte Carlo method, the relative dispersions of the magnetization

R_{m}

$R_m$ and the susceptibility

R_{χ}

$R_\chi$ 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}

$R_m$ and

R_{χ}

$R_\chi$ 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”, Mat. Model., 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 Mat. Model.

\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}

Linking options:

https://www.mathnet.ru/eng/mm4026

https://www.mathnet.ru/eng/mm/v30/i12/p55

This publication is cited in the following 11 articles:

A. B. Babaev, A. K. Murtazaev, “Simulation of the Three-Component Potts Model on a Hexagonal Lattice by the Monte Carlo Method”, Fizika metallov i metallovedenie, 124:7 (2023), 577
A. B. Babaev, A. K. Murtazaev, “Simulation of the Three-Component Potts Model on a Hexagonal Lattice by the Monte Carlo Method”, Phys. Metals Metallogr., 124:7 (2023), 653
G. Ya. Ataeva, A. B. Babaev, A. K. Murtazaev, “Calculating the Relative Variances of Magnetization, Heat Capacity, and Susceptibility in a Two-Dimensional Weakly Diluted Four-Component Potts Model”, Phys. Metals Metallogr., 124:7 (2023), 660
G. Ya. Ataeva, A. B. Babaev, A. K. Murtazaev, “Calculating the Relative Variances of Magnetization, Heat Capacity, and Susceptibility in a Two-Dimensional Weakly Diluted Four-Component Potts Model”, Fizika metallov i metallovedenie, 124:7 (2023), 584
A. K. Murtazaev, A. B. Babaev, G. Ya. Ataeva, “Phase Transitions in the Diluted Two-Dimensional Potts Model with the Number of Spin States q = 3 on a Square Lattice”, Phys. Solid State, 64:5 (2022), 264
A. K. Murtazaev, A. B. Babaev, G. Ya. Ataeva, M. A. Magomedov, “Phase Transitions and Critical Phenomena in the 2D Potts Impurity Model on a Square Lattice”, J. Exp. Theor. Phys., 135:3 (2022), 347
A.B. Babaev, A.K. Murtazaev, “The tricritical point of the site-diluted three-dimensional 5-state Potts model”, Journal of Magnetism and Magnetic Materials, 563 (2022), 169864
A. K. Murtazaev, A. B. Babaev, “Phase Transitions in a Three-Dimensional Site-Diluted 5-State Potts Model”, J Supercond Nov Magn, 35:8 (2022), 2205
A. K. Murtazaev, A. B. Babaev, “Phase Transitions in Two-Dimensional Potts Models on the Hexagonal Lattice”, J. Exp. Theor. Phys., 134:6 (2022), 720
A. K. Murtazaev, A. B. Babaev, G. Ya. Ataeva, A. A. Murtazaeva, “Calculation of relative dispersions of magnetization, susceptibility, and heat capacity in a two-dimensional weakly diluted potts model based on computer simulation methods”, Low Temp. Phys., 47:2 (2021), 119–122
A. B. Babaev, A. K. Murtazaev, “Phase transitions in low-dimensional disordered Potts models”, Phys. Solid State, 62:5 (2020), 851–855

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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