Abstract:
We studied the spin system on the complete graph consisting of two interacting subensembles. The spins that belong to the same ensemble have ferromagnetic interactions; the inter-ensemble interactions are antiferromagnetic. We introduced the “balanced system” term, which defines the equality of the number of the nearest neighbors for spins of different sub-ensembles. It is shown that the critical variables and the scaling function are different from the classical ones of the unbalanced system. These results are confirmed by the Monte-Carlo simulation of the 3D layered spin model for both balanced and unbalanced systems.
this study is a part of the FNEF-2022-0003 government order contracted to the Scientific Research Institute for System Analysis of the Russian Academy of Sciences
Document Type:
Article
Language: Russian
Citation:
B. V. Kryzhanovskii, V. I. Egorov, “Critical variables of the spin model on the complete graph in the presence of antiferromagnetic interaction”, Russian Journal of Cybernetics, 4:3 (2023), 7–18
\Bibitem{KryEgo23}
\by B.~V.~Kryzhanovskii, V.~I.~Egorov
\paper Critical variables of the spin model on the complete graph in the presence of antiferromagnetic interaction
\jour Russian Journal of Cybernetics
\yr 2023
\vol 4
\issue 3
\pages 7--18
\mathnet{http://mi.mathnet.ru/uk118}
\crossref{https://doi.org/10.51790/2712-9942-2023-4-3-01}
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https://www.mathnet.ru/eng/uk118
https://www.mathnet.ru/eng/uk/v4/i3/p7
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