Cyclic Period-3 Window in Antiferromagnetic Potts and Ising Models on Recursive Lattices
N. S. Ananikian,
L. N. Ananikyan,
L. A. Chakhmakhchyan
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 … Show more
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