q-state Potts model on the Apollonian network
Statistical Mechanics
2010-10-19 v2 Computational Physics
Abstract
The q-state Potts model is studied on the Apollonian network with Monte Carlo simulations and the Transfer Matrix method. The spontaneous magnetization, correlation length, entropy, and specific heat are analyzed as a function of temperature for different number of states, . Different scaling functions in temperature and are proposed. A quantitative agreement is found between results from both methods. No critical behavior is observed in the thermodynamic limit for any number of states.
Cite
@article{arxiv.1007.4494,
title = {q-state Potts model on the Apollonian network},
author = {Nuno A. M. Araújo and Roberto F. S. Andrade and Hans J. Herrmann},
journal= {arXiv preprint arXiv:1007.4494},
year = {2010}
}
Comments
7 pages, 6 figures. Final version