TY - JOUR

T1 - Cascading failures in interdependent lattice networks

T2 - The critical role of the length of dependency links

AU - Li, Wei

AU - Bashan, Amir

AU - Buldyrev, Sergey V.

AU - Stanley, H. Eugene

AU - Havlin, Shlomo

PY - 2012/6/1

Y1 - 2012/6/1

N2 - We study the cascading failures in a system composed of two interdependent square lattice networks A and B placed on the same Cartesian plane, where each node in network A depends on a node in network B randomly chosen within a certain distance r from the corresponding node in network A and vice versa. Our results suggest that percolation for small r below r max8 (lattice units) is a second-order transition, and for larger r is a first-order transition. For rmax, the critical threshold increases linearly with r from 0.593 at r=0 and reaches a maximum, 0.738 for r=r max, and then gradually decreases to 0.683 for r=. Our analytical considerations are in good agreement with simulations. Our study suggests that interdependent infrastructures embedded in Euclidean space become most vulnerable when the distance between interdependent nodes is in the intermediate range, which is much smaller than the size of the system.

AB - We study the cascading failures in a system composed of two interdependent square lattice networks A and B placed on the same Cartesian plane, where each node in network A depends on a node in network B randomly chosen within a certain distance r from the corresponding node in network A and vice versa. Our results suggest that percolation for small r below r max8 (lattice units) is a second-order transition, and for larger r is a first-order transition. For rmax, the critical threshold increases linearly with r from 0.593 at r=0 and reaches a maximum, 0.738 for r=r max, and then gradually decreases to 0.683 for r=. Our analytical considerations are in good agreement with simulations. Our study suggests that interdependent infrastructures embedded in Euclidean space become most vulnerable when the distance between interdependent nodes is in the intermediate range, which is much smaller than the size of the system.

UR - http://www.scopus.com/inward/record.url?scp=84861803957&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.108.228702

DO - 10.1103/PhysRevLett.108.228702

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C2 - 23003664

SN - 0031-9007

VL - 108

JO - Physical Review Letters

JF - Physical Review Letters

IS - 22

M1 - 228702

ER -