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

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

2009-10-12

arxiv.org/abs/0910.2218v1

Phys. Rev. E 80, 051101 (2009)

Physics

Condensed Matter

Statistical Mechanics

accepted for publication in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.80.051101

In this work we present a thorough analysis of the phase transitions that occur in a ferromagnetic 2D 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 $q\leq 0.5$. 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

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