Cascading failures in interdependent networks with finite functional components

MATÍAS A. DI MURO; LIDIA A. BRAUNSTEIN; H. EUGENE STANLEY; SERGEY V. BULDYREV

PHYSICAL REVIEW E

AMER PHYSICAL SOC

Lugar: New York; Año: 2016 vol. 94 p. 42304 - 42304

1539-3755

We present a cascading failure model of two interdependentnetworks in which functional nodes belong to components of sizegreater than or equal to $s$. We find theoretically and via simulationthat in complex networks with random dependency links the transitionis first-order for $sgeq 3$ and continuous for $s=2$. We also studyinterdependent lattices with a distance constraint $r$ in thedependency links, and find that increasing $r$ moves the system from aregime without a phase transition to one with a second-ordertransition. As $r$ continues to increase the system collapses in afirst-order transition. Each regime is associated with a differentstructure of domain formation of functional nodes.