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 Tc dependence from the spin interaction radius R. Analytical function Tc(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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