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., 2011, Volume 94, Issue 1,Pages <nobr>40

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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

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