TY - JOUR
T1 - Universality and scaling laws in the cascading failure model with healing
AU - Stippinger, Marcell
AU - Kertész, János
N1 - Publisher Copyright:
© 2018 American Physical Society.
PY - 2018/10/8
Y1 - 2018/10/8
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85054551085&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.98.042303
DO - 10.1103/PhysRevE.98.042303
M3 - Article
AN - SCOPUS:85054551085
SN - 2470-0045
VL - 98
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 4
M1 - 042303
ER -