Thermodynamc Approach to Three-Site Antiferromagnetic Ising Model in Chaotic Region
Statistical Mechanics
2008-02-03 v1
Abstract
The chaotic properties of the three-site antiferromagnetic Ising model on Husimi tree are investigated in magnetic field. Macroscopic quantity of three-site antiferromagnetic Ising model is generated by one dimensional map. It is shown that in certain parameter setting strange attractors of this map exhibit multifractal scaling. By applying thermodynamic formalism we find nonanalyticity in free energy as well as in entropy. We show that the temperature of phase transition depends on parameter of model and varies from negative to positive value.
Keywords
Cite
@article{arxiv.cond-mat/9610190,
title = {Thermodynamc Approach to Three-Site Antiferromagnetic Ising Model in Chaotic Region},
author = {N. S. Ananikian and S. K. Dallakian},
journal= {arXiv preprint arXiv:cond-mat/9610190},
year = {2008}
}
Comments
15 pages including figures, LaTeX, 6 eps figures, Submitted to Physica D