Exact description of paramagnetic and ferromagnetic phases of an Ising model on a third-order Cayley tree
Statistical Mechanics
2017-08-09 v1 Mathematical Physics
math.MP
Abstract
In this paper we analytically study the recurrence equations of an Ising model with three competing interactions on a Cayley tree of order three. We exactly describe paramagnetic and ferromagnetic phases of the Ising model. We obtain some rigorous results: critical temperatures and curves, number of phases, partition function. Ganikhodjaev et al. [J. Concrete and Applicable Mathematics, 9 (1), 26-34 (2011)] have numerically studied the Ising model on a second-order Cayley tree. We compare the numerical results to exact solutions of mentioned model.
Keywords
Cite
@article{arxiv.1708.02585,
title = {Exact description of paramagnetic and ferromagnetic phases of an Ising model on a third-order Cayley tree},
author = {Hasan Akin},
journal= {arXiv preprint arXiv:1708.02585},
year = {2017}
}
Comments
16 pages, 6 figures