| Issue |
EPL
Volume 92, Number 4, November 2010
|
|
|---|---|---|
| Article Number | 40013 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/92/40013 | |
| Published online | 10 December 2010 | |
Critical phenomena on heterogeneous small-world networks
1
Departamento de Física and I3N, Universidade de Aveiro - 3810-193 Aveiro, Portugal, EU
2
Statistical Mechanics and Complexity Center (SMC), INFM-CNR SMC - Rome, Italy, EU
a
massimo.ostilli@roma1.infn.it
Received:
3
July
2010
Accepted:
9
November
2010
We consider critical phenomena on heterogeneous small-world networks having a scale-free character but also arbitrary short loops. After deriving the self-consistent equation for the order parameter and the critical surface, we prove that the critical behavior on complex networks is in fact infinitely robust with respect to the presence of arbitrary short loops.
PACS: 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 64.60.aq – Networks / 64.60.F- – Equilibrium properties near critical points, critical exponents
© EPLA, 2010
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