Comment on "Ising model on a small world network".
In the recent study of the Ising model on a small world network by Pekalski [Phys. Rev. E 64, 057104 (2001)], a surprisingly small value of the critical exponent beta approximately 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 Pekalski, but in accordance with other existing studies.
Hong
H
H
Korea Institute for Advanced Study, Seoul 130-012, Korea. hhong@kias.re.kr
Kim
Beom Jun
BJ
Choi
M Y
MY