%0 Journal Article %1 Liu2012Cascading %A Liu, Run R. %A Wang, Wen X. %A Lai, Ying C. %A Wang, Bing H. %D 2012 %I American Physical Society %J Physical Review E %K interdependent-networks critical-phenomena cascades er-networks %P 026110+ %R 10.1103/physreve.85.026110 %T Cascading dynamics on random networks: Crossover in phase transition %U http://dx.doi.org/10.1103/physreve.85.026110 %V 85 %X In a complex network, random initial attacks or failures can trigger subsequent failures in a cascading manner, which is effectively a phase transition. Recent works have demonstrated that in networks with interdependent links so that the failure of one node causes the immediate failures of all nodes connected to it by such links, both first- and second-order phase transitions can arise. Moreover, there is a crossover between the two types of transitions at a critical system-parameter value. We demonstrate that these phenomena can occur in the more general setting where no interdependent links are present. A heuristic theory is derived to estimate the crossover and phase-transition points, and a remarkable agreement with numerics is obtained.

@article{Liu2012Cascading, abstract = {{In a complex network, random initial attacks or failures can trigger subsequent failures in a cascading manner, which is effectively a phase transition. Recent works have demonstrated that in networks with interdependent links so that the failure of one node causes the immediate failures of all nodes connected to it by such links, both first- and second-order phase transitions can arise. Moreover, there is a crossover between the two types of transitions at a critical system-parameter value. We demonstrate that these phenomena can occur in the more general setting where no interdependent links are present. A heuristic theory is derived to estimate the crossover and phase-transition points, and a remarkable agreement with numerics is obtained.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {Liu, Run R. and Wang, Wen X. and Lai, Ying C. and Wang, Bing H.}, biburl = {https://www.bibsonomy.org/bibtex/2b359347e7f6e37ad6dbc698c9b9f4aa1/nonancourt}, citeulike-article-id = {10359884}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/physreve.85.026110}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRE/v85/i2/e026110}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRE/v85/i2/e026110}, doi = {10.1103/physreve.85.026110}, interhash = {940b007b4c1222fa91c9c8fa424b381f}, intrahash = {b359347e7f6e37ad6dbc698c9b9f4aa1}, journal = {Physical Review E}, keywords = {interdependent-networks critical-phenomena cascades er-networks}, month = feb, pages = {026110+}, posted-at = {2012-02-16 15:14:39}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-08-01T16:10:11.000+0200}, title = {{Cascading dynamics on random networks: Crossover in phase transition}}, url = {http://dx.doi.org/10.1103/physreve.85.026110}, volume = 85, year = 2012 }