Suppression effect on the Berezinskii-Kosterlitz-Thouless transition in growing networks
- Authors
- Oh, S. M.; Son, S-W; Kahng, B.
- Issue Date
- Dec-2018
- Publisher
- AMER PHYSICAL SOC
- Keywords
- LONG-RANGE ORDER; EXPLOSIVE PERCOLATION
- Citation
- PHYSICAL REVIEW E, v.98, no.6, pp 1 - 5
- Pages
- 5
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- PHYSICAL REVIEW E
- Volume
- 98
- Number
- 6
- Start Page
- 1
- End Page
- 5
- URI
- https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/4713
- DOI
- 10.1103/PhysRevE.98.060301
- ISSN
- 2470-0045
2470-0053
- Abstract
- The percolation transition in growing networks can be of infinite order, following the Berezinskii-Kosterlitz-Thouless (BKT) transition. Examples can be found in diverse systems, including coauthorship networks and protein interaction networks. Here, we investigate how such an infinite-order percolation transition is changed by the global suppression (GS) effect. We find that the BKT infinite-order transition breaks down, but the features of infinite-order, second-order, and first-order transitions all emerge in a single framework. Owing to the GS effect, the transition point p(c) is delayed, below which the critical region is extended. The power-law behavior of the cluster size distribution reaches the state with the exponent tau = 2 at p(c,) suggesting that the system has the maximum diversity of cluster sizes and a first-order percolation transition occurs at p(c).
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Collections - COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY > DEPARTMENT OF APPLIED PHYSICS > 1. Journal Articles
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