Phys. Rev. Lett. 104, 218701 (2010) [4 pages]Critical Fluctuations in Spatial Complex NetworksReceived 3 December 2009; published 26 May 2010 An anomalous mean-field solution is known to capture the nontrivial 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 breakdown 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. © 2010 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.104.218701
DOI:
10.1103/PhysRevLett.104.218701
PACS:
89.75.Hc, 64.60.aq
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