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Related Experiment Video

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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

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Published on: September 8, 2023

Simultaneous first- and second-order percolation transitions in interdependent networks.

Dong Zhou¹, Amir Bashan¹, Reuven Cohen²

¹Department of Physics, Bar-Ilan University, Ramat Gan 52900, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|August 15, 2014

Summary

This summary is machine-generated.

Cascading failures in interdependent networks can cause system collapse. A newly discovered second-order percolation explains the slow collapse phase, aiding in preventing catastrophic failures.

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Area of Science:

Network Science
Complex Systems Dynamics
Statistical Physics

Background:

Interdependent networks are susceptible to cascading failures, potentially leading to system-wide collapse.
Abrupt first-order transitions characterize these collapses when a critical fraction of nodes fail.
The slow decrease of the giant component during cascading failures (plateau) and its system-size scaling remained unexplained.

Purpose of the Study:

To elucidate the origin of the plateau phenomenon observed during cascading failures in interdependent networks.
To understand how the plateau's length scales with the system size.
To provide insights into the critical dynamics of cascading failures for mitigation strategies.

Main Methods:

Analysis of cascading failure dynamics in interdependent network models.
Identification of simultaneous phase transitions during iterative failures.
Investigation of percolation phenomena within the failure cascade.

Main Results:

A spontaneous second-order percolation occurs concurrently with the abrupt first-order transition during cascading failures.
This second-order percolation explains the origin of the slow decrease plateau in the giant component.
The length of the plateau is shown to scale with the system size due to this concurrent percolation.

Conclusions:

The interplay between first-order collapse and second-order percolation governs cascading failures in complex networks.
Understanding these critical dynamics is crucial for developing robust network designs and failure prevention strategies.
Findings offer a mechanistic explanation for previously observed plateau behaviors in system collapse.