Exact results and new insights for models defined over small world networks. First and second order phase transitions. II: Applications

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dc.creatorOstilli, M.
dc.creatorMendes, J. F. F.
dc.date2008-01-23
dc.date2008-04-07
dc.date.accessioned2026-07-07T09:30:22Z
dc.date.available2026-07-07T09:30:22Z
dc.descriptionWe 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.
dc.description11 pages, 14 figures. Statements made clearer. Corrected an error in the (present) Eq. 61. Figs. 1 and 2 and 9-12 changed. Added two Figs. related to the phase diagram
dc.identifierhttps://arxiv.org/abs/0801.3563
dc.identifierhttp://arxiv.org/abs/0801.3563
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158100
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleExact results and new insights for models defined over small world networks. First and second order phase transitions. II: Applications
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