Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki
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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2011, Volume 94, Issue 1, Pages 40–44 (Mi jetpl1947)  
This article is cited in 14 scientific papers (total in 14 papers)

CONDENSED MATTER

Cyclic period-3 window in antiferromagnetic potts and Ising models on recursive lattices

N. S. Ananikian, L. N. Ananikian, L. A. Chakhmakhchyan

Alikhanyan National Research Laboratory
Full-text PDF (262 kB) Citations (14)
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Abstract: The magnetic properties of the antiferromagnetic Potts model with two-site interaction and the antiferromagnetic Ising model with three-site interaction on recursive lattices have been studied. A cyclic period-3 window has been revealed by the recurrence relation method in the antiferromagnetic $Q$-state Potts model on the Bethe lattice (at $Q < 2$) and in the antiferromagnetic Ising model with three-site interaction on the Husimi cactus. The Lyapunov exponents have been calculated, modulated phases and a chaotic regime in the cyclic period-3 window have been found for one-dimensional rational mappings determined the properties of these systems.
Received: 28.04.2011
English version:
Journal of Experimental and Theoretical Physics Letters, 2011, Volume 94, Issue 1, Pages 39–43
DOI: https://doi.org/10.1134/S0021364011130030
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. S. Ananikian, L. N. Ananikian, L. A. Chakhmakhchyan, “Cyclic period-3 window in antiferromagnetic potts and Ising models on recursive lattices”, Pis'ma v Zh. Èksper. Teoret. Fiz., 94:1 (2011), 40–44; JETP Letters, 94:1 (2011), 39–43
Citation in format AMSBIB
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\paper Cyclic period-3 window in antiferromagnetic potts and Ising models on recursive lattices
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2011
\vol 94
\issue 1
\pages 40--44
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\jour JETP Letters
\yr 2011
\vol 94
\issue 1
\pages 39--43
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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