q-state Potts model on the Apollonian network

Details q-state Potts model on the Apollonian network q-state Potts model on the Apollonian network

2010-07-26

arxiv.org/abs/1007.4494v2

Phys. Rev. E 82, 046109 (2010)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 6 figures. Final version

Scientific paper

10.1103/PhysRevE.82.046109

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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