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arXiv · 1007.4494

q-state Potts model on the Apollonian network

Nuno A. M. Araújo·Roberto F. S. Andrade·Hans J. Herrmann
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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, $q$. Different scaling functions in temperature and $q$ 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.

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BibTeXRIS

Nuno A. M. Araújo, Roberto F. S. Andrade, Hans J. Herrmann. 2010-07-26. q-state Potts model on the Apollonian network. https://doi.org/10.1103/physreve.82.046109

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