Cyclic Period-3 Window in Antiferromagnetic Potts and Ising Models on Recursive Lattices
Statistical Mechanics
2013-06-06 v1
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.
Keywords
Cite
@article{arxiv.1306.1131,
title = {Cyclic Period-3 Window in Antiferromagnetic Potts and Ising Models on Recursive Lattices},
author = {N. S. Ananikian and L. N. Ananikyan and L. A. Chakhmakhchyan},
journal= {arXiv preprint arXiv:1306.1131},
year = {2013}
}