2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/108345Large-scale Monte Carlo simulations, together with scaling, are used to obtain the critical behavior of the Hastings long-range model and two corresponding models based on small-world networks. These models have combined short- and long-range interactions. For all three models, the critical scaling behavior predicted by Hastings [Phys. Rev. Lett. 91, 098701] is verified.5 pages, 5 figures; Submitted to PREMaterials Sciencetext