Ising model in small-world networks.
The Ising model in small-world networks generated from two- and three-dimensional regular lattices has been studied. Monte Carlo simulations were carried out to characterize the ferromagnetic transition appearing in these systems. In the thermodynamic limit, the phase transition has a mean-field character for any finite value of the rewiring probability p, which measures the disorder strength of a given network. For small values of p, both the transition temperature and critical energy change with p as a power law. In the limit p-->0, the heat capacity at the transition temperature diverges logarithmically in two-dimensional (2D) networks and as a power law in 3D.
Instituto de Ciencia de Materiales, Consejo Superior de Investigaciones Científicas (C.S.I.C.), Campus de Cantoblanco, 28049 Madrid, Spain.
Carlos P
CP
Herrero