%0 Journal Article
%T Exact results and new insights for models defined over small world networks. First and second order phase transitions. II: Applications
%A M. Ostilli
%A J. F. F. Mendes
%J Physics
%D 2008
%I arXiv
%X We apply a novel method (presented in part I) to solve several small-world models for which the method can be applied analytically: the Viana-Bray model (which can be seen as a 0 or infinite dimensional small-world model), the one-dimensional chain small-world model, and the small-world spherical model in generic dimension. In particular, we analyze in detail the one-dimensional chain small-world model with negative short-range coupling showing that in this case, besides a second-order spin glass phase transition, there are two critical temperatures corresponding to first- or second-order phase transitions.
%U http://arxiv.org/abs/0801.3563v2