Abstract
The dynamics of cascading failures in spatial interdependent networks significantly depends on the interaction range of dependency couplings between layers. In particular, for an increasing range of dependency couplings, different types of phase transition accompanied by various cascade kinetics can be observed, including mixed-order transition characterized by critical branching phenomena, first-order transition with nucleation cascades, and continuous second-order transition with weak cascades. We also describe the dynamics of cascades at the mutual mixed-order resistive transition in interdependent superconductors and show its similarity to that of percolation of interdependent abstract networks. Finally, we lay out our perspectives for the experimental observation of these phenomena, their phase diagrams, and the underlying kinetics, in the context of physical interdependent networks. Our studies of interdependent networks shed light on the possible mechanisms of three known types of phase transitions, second order, first order, and mixed order as well as predicting a novel fourth type where a microscopic intervention will yield a macroscopic phase transition.
Original language | English |
---|---|
Article number | 103116 |
Journal | Chaos |
Volume | 33 |
Issue number | 10 |
DOIs | |
State | Published - 1 Oct 2023 |
Bibliographical note
Publisher Copyright:© 2023 Author(s).
Funding
We thank the Israel Science Foundation (Grant No. 205399), the Binational Israel-China Science Foundation (Grant No. 3132/19), United States-Israel Binational Science Foundation (NSF-BSF, Grant No. 2019740), the EU H2020 project RISE (Project No. 821115), the PAZY Foundation, and the EU H2020 DIT4TRAM. B.G. acknowledges the support of the Mordecai and Monique Katz Graduate Fellowship Program.
Funders | Funder number |
---|---|
Binational Israel-China Science Foundation | 3132/19 |
EU H2020 | 821115 |
EU H2020 DIT4TRAM | |
NSF-BSF | 2019740 |
United States-Israel Binational Science Foundation | |
Israel Science Foundation | 205399 |
PAZY Foundation |