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

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

2005-04-26

arxiv.org/abs/cond-mat/0504666v1

Phys. Rev. E73, 036116 (2006)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 5 figures

Scientific paper

10.1103/PhysRevE.73.036116

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 Barab\'asi-Albert network. Local scaling exponents are found different at a typical site and at a node with very large connectivity.

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