A hybrid percolation transition at a finite transition point in scale-free networks
| Autor: | K. Choi, Byungnam Kahng, Wonjun Choi |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
J.2 Statistical Mechanics (cond-mat.stat-mech) Degree (graph theory) Condensed matter physics Applied Mathematics Scale-free network G.3 FOS: Physical sciences General Physics and Astronomy Statistical and Nonlinear Physics Type (model theory) 01 natural sciences 010305 fluids & plasmas 82-10 Transition point Percolation 0103 physical sciences Exponent Cluster (physics) Order (group theory) 010306 general physics Condensed Matter - Statistical Mechanics Mathematical Physics |
| Zdroj: | Chaos (Woodbury, N.Y.). 31(5) |
| ISSN: | 1089-7682 |
| Popis: | Percolation transition (PT) means the formation of a macroscopic-scale large cluster, which exhibits a continuous transition. However, when the growth of large clusters is globally suppressed, the type of PT is changed to a discontinuous transition for random networks. A question arises as to whether the type of PT is also changed for scale-free (SF) network, because the existence of hubs incites the formation of a giant cluster. Here, we apply a global suppression rule to the static model for SF networks, and investigate properties of the PT. We find that even for SF networks with the degree exponent $2 < \lambda Comment: 9 pages, 9 figures, 2 tables |
| Databáze: | OpenAIRE |
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