Critical behavior of the contact process in annealed scale-free networks

Abstract

Critical behavior of the contact process is studied in annealed scale-free networks by mapping it on the random walk problem. We obtain the analytic results for the critical scaling, using the event-driven dynamics approach. These results are confirmed by numerical simulations. The disorder fluctuation induced by the sampling disorder in annealed networks is also explored. Finally, we discuss over the discrepancy of the finite-size-scaling theory in annealed and quenched networks in spirit of the droplet size scale and the linking disorder fluctuation.

8 pages, 5 figures

References in corpus (7)

• Critical phenomena in complex networks
• Generation of uncorrelated random scale-free networks
• Non mean-field behavior of the contact process on scale-free networks
• Finite-size scaling in complex networks
• Langevin approach for the dynamics of the contact process on annealed scale-free networks
• Routes to thermodynamic limit on scale-free networks
• Comment on "Non-Mean-Field Behavior of the Contact Process on Scale-Free Networks"

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