Comment on "Ising model on a small world network"
H. Hong, Beom Jun Kim, M. Y. Choi
Abstract
In the recent study of the Ising model on a small-world network by A. Pȩkalski [Phys. Rev. E 64, 057104 (2001)], a surprisingly small value of the critical exponent β≈ 0.0001 has been obtained for the temperature dependence of the magnetization. We perform extensive Monte Carlo simulations of the same model and conclude, via the standard finite-size scaling of various quantities,that the phase transition in the model is of the mean-field nature, in contrast to the work by A. Pȩkalski but in accord with other existing studies.
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