Ising model in small-world networks

Details Ising model in small-world networks Ising model in small-world networks

2002-06-06

arxiv.org/abs/cond-mat/0206079v1

Phys. Rev. E 65, 066110 (2002).

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 7 figures

Scientific paper

10.1103/PhysRevE.65.066110

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.

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