Critical phenomena on heterogeneous small-world networks
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
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