Universality and scaling laws in the cascading failure model with healing

Marcell Stippinger, János Kertész

Research output: Contribution to journalArticlepeer-review

Abstract (may include machine translation)

Cascading failures may lead to dramatic collapse in interdependent networks, where the breakdown takes place as a discontinuity of the order parameter. In the cascading failure (CF) model with healing there is a control parameter which at some value suppresses the discontinuity of the order parameter. However, up to this value of the healing parameter the breakdown is a hybrid transition, meaning that, besides this first order character, the transition shows scaling too. In this paper we investigate the question of universality related to the scaling behavior. Recently we showed that the hybrid phase transition in the original CF model has two sets of exponents describing respectively the order parameter and the cascade statistics, which are connected by a scaling law. In the CF model with healing we measure these exponents as a function of the healing parameter. We find two universality classes: in the wide range below the critical healing value the exponents agree with those of the original model, while above this value the model displays trivial scaling, meaning that fluctuations follow the central limit theorem.

Original languageEnglish
Article number042303
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume98
Issue number4
DOIs
StatePublished - 8 Oct 2018

Fingerprint

Dive into the research topics of 'Universality and scaling laws in the cascading failure model with healing'. Together they form a unique fingerprint.

Cite this