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Physics > Physics and Society

arXiv:1106.4128 (physics)
[Submitted on 21 Jun 2011]

Title:Percolation in Interdependent and Interconnected Networks: Abrupt Change from Second to First Order Transition

Authors:Yanqing Hu, Baruch Ksherim, Reuven Cohen, Shlomo Havlin
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Abstract:Robustness of two coupled networks system has been studied only for dependency coupling (S. Buldyrev et. al., Nature, 2010) and only for connectivity coupling (E. A. Leicht and R. M. D'Souza, arxiv:09070894). Here we study, using a percolation approach, a more realistic coupled networks system where both interdependent and interconnected links exist. We find a rich and unusual phase transition phenomena including hybrid transition of mixed first and second order i.e., discontinuities like a first order transition of the giant component followed by a continuous decrease to zero like a second order transition. Moreover, we find unusual discontinuous changes from second order to first order transition as a function of the dependency coupling between the two networks.
Comments: 4pages,6figures
Subjects: Physics and Society (physics.soc-ph); Social and Information Networks (cs.SI)
Cite as: arXiv:1106.4128 [physics.soc-ph]
  (or arXiv:1106.4128v1 [physics.soc-ph] for this version)
  https://doi.org/10.48550/arXiv.1106.4128
Related DOI: https://doi.org/10.1103/PhysRevE.84.066116

Submission history

From: Yanqing Hu [view email]
[v1] Tue, 21 Jun 2011 08:30:15 UTC (138 KB)
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