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

N. S. Ananikian; L. N. Ananikyan; L. A. Chakhmakhchyan

doi:10.1134/S0021364011130030

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

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

School of Physics

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17 Citations (Scopus)

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.

Original language	English
Pages (from-to)	39-43
Number of pages	5
Journal	JETP Letters
Volume	94
Issue number	1
DOIs	https://doi.org/10.1134/S0021364011130030
Publication status	Published - 1 Sept 2011

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title = "Cyclic period-3 window in antiferromagnetic potts and Ising models on recursive lattices",

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.",

author = "Ananikian, {N. S.} and Ananikyan, {L. N.} and Chakhmakhchyan, {L. A.}",

year = "2011",

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T1 - Cyclic period-3 window in antiferromagnetic potts and Ising models on recursive lattices

AU - Ananikian, N. S.

AU - Ananikyan, L. N.

AU - Chakhmakhchyan, L. A.

PY - 2011/9/1

Y1 - 2011/9/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=80052411416&partnerID=8YFLogxK

U2 - 10.1134/S0021364011130030

DO - 10.1134/S0021364011130030

M3 - Article (Academic Journal)

AN - SCOPUS:80052411416

SN - 0021-3640

VL - 94

SP - 39

EP - 43

JO - JETP Letters

JF - JETP Letters

IS - 1

ER -

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

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