Finite-size analysis of a two-dimensional Ising model within a nonextensive approach

In this work we present a thorough analysis of the phase transitions that occur in a ferromagnetic two-dimensional Ising model, with only nearest-neighbors interactions, in the framework of the Tsallis nonextensive statistics. We performed Monte Carlo simulations on square lattices with linear sizes...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2009-11, Vol.80 (5 Pt 1), p.051101-051101, Article 051101
Main Authors: Crokidakis, N, Soares-Pinto, D O, Reis, M S, Souza, A M, Sarthour, R S, Oliveira, I S
Format: Article
Language:English
Subjects:
Computer Simulation
Electromagnetic Fields
Models, Chemical
Models, Statistical
Phase Transition
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Summary:In this work we present a thorough analysis of the phase transitions that occur in a ferromagnetic two-dimensional Ising model, with only nearest-neighbors interactions, in the framework of the Tsallis nonextensive statistics. We performed Monte Carlo simulations on square lattices with linear sizes L ranging from 32 up to 512. The statistical weight of the Metropolis algorithm was changed according to the nonextensive statistics. Discontinuities in the m(T) curve are observed for q< or =0.5 . However, we have verified only one peak on the energy histograms at the critical temperatures, indicating the occurrence of continuous phase transitions. For the 0.5
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.80.051101