Comment on "Non-Mean-Field Behavior of the Contact Process on Scale-Free Networks"
arXiv:cond-mat/0603787 · doi:10.1103/PhysRevLett.98.029801
Abstract
Recently, Castellano and Pastor-Satorras [1] utilized the finite size scaling (FSS) theory to analyze simulation data for the contact process (CP) on scale-free networks (SFNs) and claimed that its absorbing critical behavior is not consistent with the mean-field (MF) prediction. Furthermore, they pointed out large density fluctuations at highly connected vertices as a possible origin for non-MF critical behavior. In this Comment, we propose a scaling theory for relative density fluctuations in the spirit of the MF theory, which turns out to explain simulation data perfectly well. We also measure the value of the critical density decay exponent, which agrees well with the MF prediction. Our results strongly support that the CP on SFNs still exhibits a MF-type critical behavior.
1 page, 2 figures, typos are corrected
References in corpus (1)
Cited by in corpus (18)
- Critical phenomena in complex networks
- Discrete-time Markov chain approach to contact-based disease spreading in complex networks
- Finite-size scaling in complex networks
- Langevin approach for the dynamics of the contact process on annealed scale-free networks
- Non-perturbative heterogeneous mean-field approach to epidemic spreading in complex networks
- Mean-field diffusive dynamics on weighted networks
- Heterogeneous pair-approximation for the contact process on complex networks
- Annealed and Mean-Field formulations of Disease Dynamics on Static and Adaptive Networks
- Routes to thermodynamic limit on scale-free networks
- Quasi-stationary simulations of the contact process on quenched networks
- Critical behavior of the Ising model in annealed scale-free networks
- Critical behavior of the contact process in annealed scale-free networks
- An overview of epidemic models with phase transitions to absorbing states running on top of complex networks
- Reply to the Comment on the paper "Non-mean-field behavior of the contact process on scale-free networks"
- Variability of Contact Process in Complex Networks
- Scaling behavior of the contact process in networks with long-range connections
- Infinite randomness critical behavior of the contact process on networks with long-range connections
- Fundamental Structural Constraint of Random Scale-Free Networks