Nonequilibrium phase transitions and finite size scaling in weighted scale-free networks

Abstract

We consider nonequilibrium phase transitions in weighted scale-free networks, in which highly connected nodes, which are created earlier in time are partially immunized. For epidemic spreading we solve the dynamical mean-field equations and discuss finite-size scaling theory. The theoretical predictions are confronted with the results of large scale Monte Carlo simulations on the weighted Barabási-Albert network. Local scaling exponents are found different at a typical site and at a node with very large connectivity.

6 pages, 5 figures

References in corpus (3)

• Trading interactions for topology in scale-free networks
• Asymmetrically coupled directed percolation systems
• Finite-size scaling of directed percolation above the upper critical dimension

Cited by in corpus (27)

• Epidemic processes in complex networks
• Critical phenomena in complex networks
• Finite-size scaling in complex networks
• Epidemic Spreading in Weighted Networks: An Edge-Based Mean-Field Solution
• Mean-field diffusive dynamics on weighted networks
• Optimized Gillespie algorithms for the simulation of Markovian epidemic processes on large and heterogeneous networks
• Routes to thermodynamic limit on scale-free networks
• Voter models on weighted networks
• Collective versus hub activation of epidemic phases on networks
• Finite-size scaling of synchronized oscillation on complex networks
• Criticality on networks with topology-dependent interactions
• From subcritical behavior to elusive transitions in rumor models
• Slow dynamics and rare-region effects in the contact process on weighted tree networks
• Deterministic weighted scale-free small-world networks
• On the onset of synchronization of Kuramoto oscillators in scale-free networks
• Rare regions of the Susceptible Infected Susceptible model on Barabási-Albert networks
• Condensation phenomena of conserved-mass aggregation model on weighted complex networks
• Scaling behavior of the contact process in networks with long-range connections
• Non-equilibrium mean-field theories on scale-free networks
• Rounding of first-order phase transitions and optimal cooperation in scale-free networks
• Degree dependent transmission rates in epidemic processes
• Slow dynamics of the contact process on complex networks
• Degree-penalized contact processes
• Flocking dynamics mediated by weighted social networks
• Computational Human Dynamics
• Finite-size scaling functions of the phase transition in the ferromagnetic Ising model on random regular graphs
• Annealed mean-field epidemiological model on scale-free networks with a mitigating factor