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Dynamics of cascades in spatial interdependent networks.
Bnaya Gross1, Ivan Bonamassa2, Shlomo Havlin1
1Department of Physics, Bar-Ilan University, 52900 Ramat-Gan, Israel.
Chaos (Woodbury, N.Y.)
|October 13, 2023
Summary
Cascading failures in interdependent networks change with dependency range, showing diverse phase transitions and cascade dynamics. This research reveals mechanisms for known transitions and predicts a new type.
Area of Science:
- Complex Systems Science
- Network Science
- Condensed Matter Physics
Background:
- Cascading failures in spatial interdependent networks are influenced by the range of dependency couplings between network layers.
- Understanding these dynamics is crucial for predicting system-wide failures and designing robust networks.
Purpose of the Study:
- To investigate how the interaction range of dependency couplings affects cascading failure dynamics in spatial interdependent networks.
- To characterize different types of phase transitions and cascade kinetics associated with varying dependency ranges.
- To explore the potential for experimental observation of these phenomena in physical systems.
Main Methods:
- Analysis of cascading failure dynamics in spatial interdependent networks with varying dependency coupling ranges.
- Identification and characterization of different phase transition types (mixed-order, first-order, second-order) and their associated cascade kinetics.
- Examination of cascade dynamics during mixed-order resistive transitions in interdependent superconductors.
Main Results:
- Increasing dependency coupling range leads to diverse phase transitions and cascade kinetics, including critical branching, nucleation cascades, and weak cascades.
- Cascade dynamics at the mixed-order resistive transition in interdependent superconductors exhibit similarities to percolation in abstract networks.
- A novel fourth type of phase transition, triggered by microscopic intervention, is predicted.
Conclusions:
- The interaction range of dependency couplings is a critical factor governing cascading failures and phase transitions in interdependent networks.
- The study elucidates mechanisms for known phase transitions and proposes a new type, offering insights into network robustness.
- Findings provide a framework for experimental studies of phase transitions and cascade kinetics in physical interdependent systems.


