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Monte Carlo simulation of the two-dimensional Potts model using nonextensive statistics

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  • Boer, Attila

Abstract

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.

Suggested Citation

  • Boer, Attila, 2011. "Monte Carlo simulation of the two-dimensional Potts model using nonextensive statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4203-4209.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:23:p:4203-4209
    DOI: 10.1016/j.physa.2011.07.027
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    References listed on IDEAS

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    1. Lima, A.R. & Martins, J.S.Sá & Penna, T.J.P., 1999. "Monte Carlo simulation of magnetic systems in the Tsallis statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 268(3), pages 553-566.
    2. Abe, Sumiyoshi, 2006. "Temperature of nonextensive systems: Tsallis entropy as Clausius entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(2), pages 430-434.
    3. Toral, Raúl, 2003. "On the definition of physical temperature and pressure for nonextensive thermostatistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 317(1), pages 209-212.
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