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

Attila Boer

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 23, 4203-4209

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.

Keywords: Potts model; Nonextensive statistical mechanics; Fluctuations; Phase transitions; Metropolis algorithm (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:23:p:4203-4209

DOI: 10.1016/j.physa.2011.07.027

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