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.
%0 Journal Article
%1 Karsai2006Nonequilibrium
%A Karsai, Márton
%A Juhász, Róbert
%A Iglói, Ferenc
%D 2006
%I American Physical Society
%J Physical Review E
%K critical-phenomena scale-free-networks finite-size weighted-networks
%N 3
%P 036116+
%R 10.1103/physreve.73.036116
%T Nonequilibrium phase transitions and finite-size scaling in weighted scale-free networks
%U http://dx.doi.org/10.1103/physreve.73.036116
%V 73
%X 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.
@article{Karsai2006Nonequilibrium,
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 Barab\'{a}si-Albert network. Local scaling exponents are found different at a typical site and at a node with very large connectivity.}},
added-at = {2019-06-10T14:53:09.000+0200},
author = {Karsai, M\'{a}rton and Juh\'{a}sz, R\'{o}bert and Igl\'{o}i, Ferenc},
biburl = {https://www.bibsonomy.org/bibtex/297f342c076396c7e140e9dd2c23275b2/nonancourt},
citeulike-article-id = {6593791},
citeulike-linkout-0 = {http://dx.doi.org/10.1103/physreve.73.036116},
citeulike-linkout-1 = {http://link.aps.org/abstract/PRE/v73/i3/e036116},
citeulike-linkout-2 = {http://link.aps.org/pdf/PRE/v73/i3/e036116},
doi = {10.1103/physreve.73.036116},
interhash = {3bf5d211eef400ee12346401abba682f},
intrahash = {97f342c076396c7e140e9dd2c23275b2},
journal = {Physical Review E},
keywords = {critical-phenomena scale-free-networks finite-size weighted-networks},
month = mar,
number = 3,
pages = {036116+},
posted-at = {2011-04-13 10:27:38},
priority = {2},
publisher = {American Physical Society},
timestamp = {2019-08-20T16:57:00.000+0200},
title = {{Nonequilibrium phase transitions and finite-size scaling in weighted scale-free networks}},
url = {http://dx.doi.org/10.1103/physreve.73.036116},
volume = 73,
year = 2006
}