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.
Keywords
anomalous mean-field solution, complex networks, Ginsburg criterion
Subject Categories
Statistical mechanics, Mean field theory, Ising model
Disciplines
Physics
Publication Date
2009
Permanent URL
Recommended Citation
Bradde, Serena; Caccioli, Fabio; Dall'Asta, Luca; and Bianconi, Ginestra, "Critical fluctuations in spatial complex networks" (2009). Physics Faculty Publications. Paper 90. http://hdl.handle.net/2047/d20000443
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Notes
Originally posted at http://arxiv.org/abs/0912.0639v3. Preprint of an article published in Physical Review Letters, 2009.