Cyclic period-3 window in antiferromagnetic potts and Ising models on recursive lattices |
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Authors: | N S Ananikian L N Ananikyan L A Chakhmakhchyan |
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Institution: | 1.Alikhanyan National Research Laboratory,Yerevan,Armenia |
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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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