%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 }