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Published on: May 18, 2021
Nonequilibrium phase transitions and finite-size scaling in weighted scale-free networks
Márton Karsai1, Róbert Juhász, Ferenc Iglói
1Institute of Theoretical Physics, Szeged University, H-6720 Szeged, Hungary.
Abstract:
We consider nonequilibrium phase transitions, such as epidemic spreading, in weighted scale-free networks, in which highly connected nodes have a relatively smaller ability to transfer infection. 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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