Comment on "Ising model on a small world network"

Details Comment on "Ising model on a small world network" Comment on "Ising model on a small world network"

2002-04-17

arxiv.org/abs/cond-mat/0204357v1

Phys. Rev. E 66, 018101 (2002)

Physics

Condensed Matter

Statistical Mechanics

to be published in PRE

Scientific paper

10.1103/PhysRevE.66.018101

In the recent study of the Ising model on a small-world network by A. P\c{e}kalski [Phys. Rev. E {\bf 64}, 057104 (2001)], a surprisingly small value of the critical exponent $\beta \approx 0.0001$ 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. P\c{e}kalski but in accord with other existing studies.

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