Simulation of the two-dimensional Potts model using nonextensive statistics

Details Simulation of the two-dimensional Potts model using nonextensive statistics Simulation of the two-dimensional Potts model using nonextensive statistics

2011-04-07

arxiv.org/abs/1104.1393v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 8 figures, REVTeX

Scientific paper

The standard Potts model is investigated in the framework of nonextensive statistical mechanics. We performed Monte Carlo simulations on two-dimensional lattices with linear sizes ranging from 16 to 64 using the Metropolis algorithm, where the classical Boltzmann-Gibbs transition probabilities were modified for the nonextensive case. We found that the Potts model undergoes a phase transition in the nonextensive scenario. We established the order of the phase transition and we computed the critical temperature for different values of the Tsallis entropic index.

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