<p>K-selective percolation: A simple model leading to a rich repertoire of phase transitions</p>
- Authors
- Kim, Jung-Ho; Goh, K. -i.
- Issue Date
- 2월-2022
- Publisher
- AIP Publishing
- Citation
- CHAOS, v.32, no.2
- Indexed
- SCIE
SCOPUS
- Journal Title
- CHAOS
- Volume
- 32
- Number
- 2
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/141977
- DOI
- 10.1063/5.0081253
- ISSN
- 1054-1500
- Abstract
- We propose a K-selective percolation process as a model for iterative removals of nodes with a specific intermediate degree in complex networks. In the model, a random node with degree K is deactivated one by one until no more nodes with degree K remain. The non-monotonic response of the giant component size on various synthetic and real-world networks implies a conclusion that a network can be more robust against such a selective attack by removing further edges. From a theoretical perspective, the K-selective percolation process exhibits a rich repertoire of phase transitions, including double transitions of hybrid and continuous, as well as reentrant transitions. Notably, we observe a tricritical-like point on Erdos-Renyi networks. We also examine a discontinuous transition with unusual order parameter fluctuation and distribution on simple cubic lattices, which does not appear in other percolation models with cascade processes. Finally, we perform finite-size scaling analysis to obtain critical exponents on various transition points, including those exotic ones.
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Collections - College of Science > Department of Physics > 1. Journal Articles
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