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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2015, Volume 19, Number 3, Pages 415–424 (Mi vsgtu1376)  

This article is cited in 2 scientific papers (total in 2 papers)

Differential Equations and Mathematical Physics

The Ising Model with Long-Range Interactions

A. A. Biryukov, Ya. V. Degtyareva

Samara State University, Samara, 443011, Russian Federation

Abstract: The phase transition in the two-dimensional and three-dimensional Ising models with long-range spin interactions are studied with the Monte–Carlo method. The interaction region between spins is characterized by the radius $R$. Results based on numerical simulations have shown the critical temperature $T_c$ dependence from the spin interaction radius $R$. Analytical function $T_{c}(R)$ approximating this dependence is designed.

Keywords: Ising model, phase transition, critical temperature, Monte–Carlo method, parallel calculations

DOI: https://doi.org/10.14498/vsgtu1376

Full text: PDF file (794 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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Bibliographic databases:

UDC: 517.958:[531-142.6+536]
MSC: Primary 82B20; Secondary 65С05
Original article submitted 17/XII/2014
revision submitted – 19/III/2015

Citation: A. A. Biryukov, Ya. V. Degtyareva, “The Ising Model with Long-Range Interactions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 19:3 (2015), 415–424

Citation in format AMSBIB
\Bibitem{BirDeg15}
\by A.~A.~Biryukov, Ya.~V.~Degtyareva
\paper The Ising Model with Long-Range Interactions
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2015
\vol 19
\issue 3
\pages 415--424
\mathnet{http://mi.mathnet.ru/vsgtu1376}
\crossref{https://doi.org/10.14498/vsgtu1376}
\zmath{https://zbmath.org/?q=an:06968973}
\elib{http://elibrary.ru/item.asp?id=24554655}


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    This publication is cited in the following articles:
    1. S. V. Belim, I. B. Larionov, R. V. Soloneckiy, “Computer simulation of the critical behavior of magnetic systems with competition between the short- and long-range interactions”, Physics of Metals and Metallography, 117:11 (2016), 1079–1084  crossref  crossref  isi  elib  scopus
    2. Zh. V. Dzyuba, V. N. Udodov, D. V. Spirin, “Vliyanie vzaimodeistviya neblizhaishikh sosedei na indeks korrelyatsionnoi dliny kvaziodnomernogo izingovskogo ferromagnetika, zamknutogo v koltso”, Fundamentalnye problemy sovremennogo materialovedeniya, 13:4 (2016), 430–436  elib
  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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