Abstract
The -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.
- Received 26 July 2010
DOI:https://doi.org/10.1103/PhysRevE.82.046109
©2010 American Physical Society