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.
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
\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{https://elibrary.ru/item.asp?id=24554655}
Linking options:
https://www.mathnet.ru/eng/vsgtu1376
https://www.mathnet.ru/eng/vsgtu/v219/i3/p415
This publication is cited in the following 2 articles:
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
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
Citation in format AMSBIB
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