Abstract
We find the exact critical temperature of the nearest-neighbor ferromagnetic Ising model on an “equilibrium” random graph with an arbitrary degree distribution We observe an anomalous behavior of the magnetization, magnetic susceptibility and specific heat, when is fat tailed, or, loosely speaking, when the fourth moment of the distribution diverges in infinite networks. When the second moment becomes divergent, approaches infinity, the phase transition is of infinite order, and size effect is anomalously strong.
- Received 10 March 2002
DOI:https://doi.org/10.1103/PhysRevE.66.016104
©2002 American Physical Society