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arXiv · 1306.1131

Cyclic Period-3 Window in Antiferromagnetic Potts and Ising Models on Recursive Lattices

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

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N. S. Ananikian, L. N. Ananikyan, L. A. Chakhmakhchyan. 2013-06-05. Cyclic Period-3 Window in Antiferromagnetic Potts and Ising Models on Recursive Lattices. https://doi.org/10.1134/s0021364011130030

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