Cascading Failures in Interdependent Lattice Networks: From First Order to Second Order Phase Transition

Wei Li; Amir Bashan; Sergey Buldyrev; Eugene Stanley; Shlomo Havlin

Cascading Failures in Interdependent Lattice Networks: From First Order to Second Order Phase Transition

Wei Li
, Amir Bashan
, Sergey Buldyrev
, Eugene Stanley
, Shlomo Havlin

Department of Physics - at Bar-Ilan University

Bar-Ilan University

Research output: Contribution to journal › Conference article › peer-review

Abstract

We study a system composed of two interdependent lattice networks A and B, where nodes in network A depend on a node within a certain shuffling distance r of its corresponding counterpart in network B and vice versa. We find, using numerical simulation that percolation in the two interdependent lattice networks system shows that for small r the phase transition is second order while for larger r it is a first order.

Original language	English
Journal	APS Meeting Abstracts
Volume	57
Issue number	1
State	Published - 27 Feb 2012

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http://meetings.aps.org/Meeting/MAR12/Session/A54.12

Cite this

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title = "Cascading Failures in Interdependent Lattice Networks: From First Order to Second Order Phase Transition",

abstract = "We study a system composed of two interdependent lattice networks A and B, where nodes in network A depend on a node within a certain shuffling distance r of its corresponding counterpart in network B and vice versa. We find, using numerical simulation that percolation in the two interdependent lattice networks system shows that for small r the phase transition is second order while for larger r it is a first order.",

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AU - Li, Wei

AU - Bashan, Amir

AU - Buldyrev, Sergey

AU - Stanley, Eugene

AU - Havlin, Shlomo

PY - 2012/2/27

Y1 - 2012/2/27

N2 - We study a system composed of two interdependent lattice networks A and B, where nodes in network A depend on a node within a certain shuffling distance r of its corresponding counterpart in network B and vice versa. We find, using numerical simulation that percolation in the two interdependent lattice networks system shows that for small r the phase transition is second order while for larger r it is a first order.

AB - We study a system composed of two interdependent lattice networks A and B, where nodes in network A depend on a node within a certain shuffling distance r of its corresponding counterpart in network B and vice versa. We find, using numerical simulation that percolation in the two interdependent lattice networks system shows that for small r the phase transition is second order while for larger r it is a first order.

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M3 - مقالة من مؤنمر

VL - 57

JO - APS Meeting Abstracts

JF - APS Meeting Abstracts

IS - 1

ER -

Cascading Failures in Interdependent Lattice Networks: From First Order to Second Order Phase Transition

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