Gross Bnaya, Bonamassa Ivan, Havlin Shlomo
Department of Physics, Bar-Ilan University, 52900 Ramat-Gan, Israel.
Department of Network and Data Science, CEU, Quellenstrasse 51, 1100 Vienna, Austria.
Chaos. 2023 Oct 1;33(10). doi: 10.1063/5.0165796.
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.
空间相互依存网络中连锁故障的动力学特性很大程度上取决于各层之间依赖耦合的相互作用范围。特别是，对于不断增加的依赖耦合范围，可以观察到不同类型的相变，并伴随着各种级联动力学，包括以临界分支现象为特征的混合阶相变、有成核级联的一阶相变以及有弱级联的连续二阶相变。我们还描述了相互依存超导体中相互混合阶电阻转变时的级联动力学，并展示了其与相互依存抽象网络渗流动力学的相似性。最后，我们阐述了在物理相互依存网络的背景下，对这些现象、其相图以及潜在动力学进行实验观测的展望。我们对相互依存网络的研究揭示了二阶、一阶和混合阶这三种已知类型相变的可能机制，并预测了一种新的第四种类型，即微观干预将导致宏观相变。
