Critical fluctuations in spatial complex networks
Statistical Mechanics
2015-05-14 v3 Disordered Systems and Neural Networks
Physics and Society
Abstract
An anomalous mean-field solution is known to capture the non trivial phase diagram of the Ising model in annealed complex networks. Nevertheless the critical fluctuations in random complex networks remain mean-field. Here we show that a break-down of this scenario can be obtained when complex networks are embedded in geometrical spaces. Through the analysis of the Ising model on annealed spatial networks, we reveal in particular the spectral properties of networks responsible for critical fluctuations and we generalize the Ginsburg criterion to complex topologies.
Cite
@article{arxiv.0912.0639,
title = {Critical fluctuations in spatial complex networks},
author = {Serena Bradde and Fabio Caccioli and Luca Dall'Asta and Ginestra Bianconi},
journal= {arXiv preprint arXiv:0912.0639},
year = {2015}
}
Comments
(4 pages, 2 figures)