Thermodynamc Approach to Three-Site Antiferromagnetic Ising Model in Chaotic Region

Details Thermodynamc Approach to Three-Site Antiferromagnetic Ising Model in Chaotic Region Thermodynamc Approach to Three-Site Antiferromagnetic Ising Model in Chaotic Region

1996-10-26

arxiv.org/abs/cond-mat/9610190v1

Physics

Condensed Matter

Statistical Mechanics

15 pages including figures, LaTeX, 6 eps figures, Submitted to Physica D

Scientific paper

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.

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