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

Márton Karsai·Róbert Juhász·Ferenc Iglói
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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.

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Márton Karsai, Róbert Juhász, Ferenc Iglói. 2005-04-26. Nonequilibrium phase transitions and finite size scaling in weighted scale-free networks. https://doi.org/10.1103/physreve.73.036116

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